diff --git a/examples/device-orientation.js b/examples/device-orientation.js
index 3a49779683..825e61ac98 100644
--- a/examples/device-orientation.js
+++ b/examples/device-orientation.js
@@ -3,7 +3,7 @@ import _ol_Map_ from '../src/ol/Map.js';
 import _ol_View_ from '../src/ol/View.js';
 import {defaults as defaultControls} from '../src/ol/control.js';
 import TileLayer from '../src/ol/layer/Tile.js';
-import _ol_math_ from '../src/ol/math.js';
+import {toRadians} from '../src/ol/math.js';
 import _ol_source_OSM_ from '../src/ol/source/OSM.js';
 
 var view = new _ol_View_({
@@ -36,9 +36,9 @@ gn.init().then(function() {
   gn.start(function(event) {
     var center = view.getCenter();
     var resolution = view.getResolution();
-    var alpha = _ol_math_.toRadians(event.do.beta);
-    var beta = _ol_math_.toRadians(event.do.beta);
-    var gamma = _ol_math_.toRadians(event.do.gamma);
+    var alpha = toRadians(event.do.beta);
+    var beta = toRadians(event.do.beta);
+    var gamma = toRadians(event.do.gamma);
 
     el('alpha').innerText = alpha + ' [rad]';
     el('beta').innerText = beta + ' [rad]';
diff --git a/src/ol/CenterConstraint.js b/src/ol/CenterConstraint.js
index 698fa62c85..da21fac1d8 100644
--- a/src/ol/CenterConstraint.js
+++ b/src/ol/CenterConstraint.js
@@ -1,7 +1,7 @@
 /**
  * @module ol/CenterConstraint
  */
-import _ol_math_ from './math.js';
+import {clamp} from './math.js';
 var _ol_CenterConstraint_ = {};
 
 
@@ -18,8 +18,8 @@ _ol_CenterConstraint_.createExtent = function(extent) {
     function(center) {
       if (center) {
         return [
-          _ol_math_.clamp(center[0], extent[0], extent[2]),
-          _ol_math_.clamp(center[1], extent[1], extent[3])
+          clamp(center[0], extent[0], extent[2]),
+          clamp(center[1], extent[1], extent[3])
         ];
       } else {
         return undefined;
diff --git a/src/ol/Geolocation.js b/src/ol/Geolocation.js
index 870b0a1c5b..80150ef85a 100644
--- a/src/ol/Geolocation.js
+++ b/src/ol/Geolocation.js
@@ -9,7 +9,7 @@ import _ol_events_ from './events.js';
 import EventType from './events/EventType.js';
 import Polygon from './geom/Polygon.js';
 import _ol_has_ from './has.js';
-import _ol_math_ from './math.js';
+import {toRadians} from './math.js';
 import {get as getProjection, getTransformFromProjections, identityTransform} from './proj.js';
 import _ol_proj_EPSG4326_ from './proj/EPSG4326.js';
 
@@ -164,7 +164,7 @@ Geolocation.prototype.positionChange_ = function(position) {
       coords.altitudeAccuracy === null ?
         undefined : coords.altitudeAccuracy);
   this.set(_ol_GeolocationProperty_.HEADING, coords.heading === null ?
-    undefined : _ol_math_.toRadians(coords.heading));
+    undefined : toRadians(coords.heading));
   if (!this.position_) {
     this.position_ = [coords.longitude, coords.latitude];
   } else {
diff --git a/src/ol/Graticule.js b/src/ol/Graticule.js
index d60df74476..5df54754dd 100644
--- a/src/ol/Graticule.js
+++ b/src/ol/Graticule.js
@@ -7,7 +7,7 @@ import GeometryLayout from './geom/GeometryLayout.js';
 import LineString from './geom/LineString.js';
 import Point from './geom/Point.js';
 import _ol_geom_flat_geodesic_ from './geom/flat/geodesic.js';
-import _ol_math_ from './math.js';
+import {clamp} from './math.js';
 import {get as getProjection, equivalent as equivalentProjection, getTransform, transformExtent} from './proj.js';
 import RenderEventType from './render/EventType.js';
 import _ol_style_Fill_ from './style/Fill.js';
@@ -357,7 +357,7 @@ Graticule.prototype.getMeridianPoint_ = function(lineString, extent, index) {
   var flatCoordinates = lineString.getFlatCoordinates();
   var clampedBottom = Math.max(extent[1], flatCoordinates[1]);
   var clampedTop = Math.min(extent[3], flatCoordinates[flatCoordinates.length - 1]);
-  var lat = _ol_math_.clamp(
+  var lat = clamp(
       extent[1] + Math.abs(extent[1] - extent[3]) * this.lonLabelPosition_,
       clampedBottom, clampedTop);
   var coordinate = [flatCoordinates[0], lat];
@@ -406,7 +406,7 @@ Graticule.prototype.getParallelPoint_ = function(lineString, extent, index) {
   var flatCoordinates = lineString.getFlatCoordinates();
   var clampedLeft = Math.max(extent[0], flatCoordinates[0]);
   var clampedRight = Math.min(extent[2], flatCoordinates[flatCoordinates.length - 2]);
-  var lon = _ol_math_.clamp(
+  var lon = clamp(
       extent[0] + Math.abs(extent[0] - extent[2]) * this.latLabelPosition_,
       clampedLeft, clampedRight);
   var coordinate = [lon, flatCoordinates[1]];
@@ -461,7 +461,7 @@ Graticule.prototype.createGraticule_ = function(extent, center, resolution, squa
   // Create meridians
 
   centerLon = Math.floor(centerLon / interval) * interval;
-  lon = _ol_math_.clamp(centerLon, this.minLon_, this.maxLon_);
+  lon = clamp(centerLon, this.minLon_, this.maxLon_);
 
   idx = this.addMeridian_(lon, minLat, maxLat, squaredTolerance, extent, 0);
 
@@ -471,7 +471,7 @@ Graticule.prototype.createGraticule_ = function(extent, center, resolution, squa
     idx = this.addMeridian_(lon, minLat, maxLat, squaredTolerance, extent, idx);
   }
 
-  lon = _ol_math_.clamp(centerLon, this.minLon_, this.maxLon_);
+  lon = clamp(centerLon, this.minLon_, this.maxLon_);
 
   cnt = 0;
   while (lon != this.maxLon_ && cnt++ < maxLines) {
@@ -487,7 +487,7 @@ Graticule.prototype.createGraticule_ = function(extent, center, resolution, squa
   // Create parallels
 
   centerLat = Math.floor(centerLat / interval) * interval;
-  lat = _ol_math_.clamp(centerLat, this.minLat_, this.maxLat_);
+  lat = clamp(centerLat, this.minLat_, this.maxLat_);
 
   idx = this.addParallel_(lat, minLon, maxLon, squaredTolerance, extent, 0);
 
@@ -497,7 +497,7 @@ Graticule.prototype.createGraticule_ = function(extent, center, resolution, squa
     idx = this.addParallel_(lat, minLon, maxLon, squaredTolerance, extent, idx);
   }
 
-  lat = _ol_math_.clamp(centerLat, this.minLat_, this.maxLat_);
+  lat = clamp(centerLat, this.minLat_, this.maxLat_);
 
   cnt = 0;
   while (lat != this.maxLat_ && cnt++ < maxLines) {
diff --git a/src/ol/ResolutionConstraint.js b/src/ol/ResolutionConstraint.js
index 624462745b..52922070b0 100644
--- a/src/ol/ResolutionConstraint.js
+++ b/src/ol/ResolutionConstraint.js
@@ -2,7 +2,7 @@
  * @module ol/ResolutionConstraint
  */
 import {linearFindNearest} from './array.js';
-import _ol_math_ from './math.js';
+import {clamp} from './math.js';
 var _ol_ResolutionConstraint_ = {};
 
 
@@ -21,7 +21,7 @@ _ol_ResolutionConstraint_.createSnapToResolutions = function(resolutions) {
     function(resolution, delta, direction) {
       if (resolution !== undefined) {
         var z = linearFindNearest(resolutions, resolution, direction);
-        z = _ol_math_.clamp(z + delta, 0, resolutions.length - 1);
+        z = clamp(z + delta, 0, resolutions.length - 1);
         var index = Math.floor(z);
         if (z != index && index < resolutions.length - 1) {
           var power = resolutions[index] / resolutions[index + 1];
diff --git a/src/ol/RotationConstraint.js b/src/ol/RotationConstraint.js
index a71a82bd75..ba0fa7dc07 100644
--- a/src/ol/RotationConstraint.js
+++ b/src/ol/RotationConstraint.js
@@ -1,7 +1,7 @@
 /**
  * @module ol/RotationConstraint
  */
-import _ol_math_ from './math.js';
+import {toRadians} from './math.js';
 var _ol_RotationConstraint_ = {};
 
 
@@ -61,7 +61,7 @@ _ol_RotationConstraint_.createSnapToN = function(n) {
  * @return {ol.RotationConstraintType} Rotation constraint.
  */
 _ol_RotationConstraint_.createSnapToZero = function(opt_tolerance) {
-  var tolerance = opt_tolerance || _ol_math_.toRadians(5);
+  var tolerance = opt_tolerance || toRadians(5);
   return (
     /**
      * @param {number|undefined} rotation Rotation.
diff --git a/src/ol/Sphere.js b/src/ol/Sphere.js
index 109b5d01b0..c10d602f8a 100644
--- a/src/ol/Sphere.js
+++ b/src/ol/Sphere.js
@@ -8,7 +8,7 @@
  * http://www.movable-type.co.uk/scripts/latlong.html
  * Licensed under CC-BY-3.0.
  */
-import _ol_math_ from './math.js';
+import {toRadians, toDegrees} from './math.js';
 import GeometryType from './geom/GeometryType.js';
 
 
@@ -89,8 +89,8 @@ _ol_Sphere_.prototype.haversineDistance = function(c1, c2) {
  * @return {ol.Coordinate} The target point.
  */
 _ol_Sphere_.prototype.offset = function(c1, distance, bearing) {
-  var lat1 = _ol_math_.toRadians(c1[1]);
-  var lon1 = _ol_math_.toRadians(c1[0]);
+  var lat1 = toRadians(c1[1]);
+  var lon1 = toRadians(c1[0]);
   var dByR = distance / this.radius;
   var lat = Math.asin(
       Math.sin(lat1) * Math.cos(dByR) +
@@ -98,7 +98,7 @@ _ol_Sphere_.prototype.offset = function(c1, distance, bearing) {
   var lon = lon1 + Math.atan2(
       Math.sin(bearing) * Math.sin(dByR) * Math.cos(lat1),
       Math.cos(dByR) - Math.sin(lat1) * Math.sin(lat));
-  return [_ol_math_.toDegrees(lon), _ol_math_.toDegrees(lat)];
+  return [toDegrees(lon), toDegrees(lat)];
 };
 
 
@@ -202,10 +202,10 @@ _ol_Sphere_.getLength_ = function(coordinates, radius) {
  * @return {number} The great circle distance between the points (in meters).
  */
 _ol_Sphere_.getDistance_ = function(c1, c2, radius) {
-  var lat1 = _ol_math_.toRadians(c1[1]);
-  var lat2 = _ol_math_.toRadians(c2[1]);
+  var lat1 = toRadians(c1[1]);
+  var lat2 = toRadians(c2[1]);
   var deltaLatBy2 = (lat2 - lat1) / 2;
-  var deltaLonBy2 = _ol_math_.toRadians(c2[0] - c1[0]) / 2;
+  var deltaLonBy2 = toRadians(c2[0] - c1[0]) / 2;
   var a = Math.sin(deltaLatBy2) * Math.sin(deltaLatBy2) +
       Math.sin(deltaLonBy2) * Math.sin(deltaLonBy2) *
       Math.cos(lat1) * Math.cos(lat2);
@@ -293,9 +293,9 @@ _ol_Sphere_.getArea_ = function(coordinates, radius) {
   var y1 = coordinates[len - 1][1];
   for (var i = 0; i < len; i++) {
     var x2 = coordinates[i][0], y2 = coordinates[i][1];
-    area += _ol_math_.toRadians(x2 - x1) *
-        (2 + Math.sin(_ol_math_.toRadians(y1)) +
-        Math.sin(_ol_math_.toRadians(y2)));
+    area += toRadians(x2 - x1) *
+        (2 + Math.sin(toRadians(y1)) +
+        Math.sin(toRadians(y2)));
     x1 = x2;
     y1 = y2;
   }
diff --git a/src/ol/View.js b/src/ol/View.js
index 5b4b2fb6b7..f2c27a17cc 100644
--- a/src/ol/View.js
+++ b/src/ol/View.js
@@ -17,7 +17,7 @@ import {getForViewAndSize, getCenter, getHeight, getWidth, isEmpty} from './exte
 import GeometryType from './geom/GeometryType.js';
 import Polygon from './geom/Polygon.js';
 import SimpleGeometry from './geom/SimpleGeometry.js';
-import _ol_math_ from './math.js';
+import {clamp, modulo} from './math.js';
 import _ol_obj_ from './obj.js';
 import {createProjection, METERS_PER_UNIT} from './proj.js';
 import _ol_proj_Units_ from './proj/Units.js';
@@ -191,7 +191,7 @@ _ol_View_.prototype.applyOptions_ = function(options) {
         this.maxResolution_, options.zoom - this.minZoom_);
 
     if (this.resolutions_) { // in case map zoom is out of min/max zoom range
-      properties[_ol_ViewProperty_.RESOLUTION] = _ol_math_.clamp(
+      properties[_ol_ViewProperty_.RESOLUTION] = clamp(
           Number(this.getResolution() || properties[_ol_ViewProperty_.RESOLUTION]),
           this.minResolution_, this.maxResolution_);
     }
@@ -328,7 +328,7 @@ _ol_View_.prototype.animate = function(var_args) {
 
     if (options.rotation !== undefined) {
       animation.sourceRotation = rotation;
-      var delta = _ol_math_.modulo(options.rotation - rotation + Math.PI, 2 * Math.PI) - Math.PI;
+      var delta = modulo(options.rotation - rotation + Math.PI, 2 * Math.PI) - Math.PI;
       animation.targetRotation = rotation + delta;
       rotation = animation.targetRotation;
     }
@@ -436,7 +436,7 @@ _ol_View_.prototype.updateAnimations_ = function() {
       }
       if (animation.sourceRotation !== undefined && animation.targetRotation !== undefined) {
         var rotation = progress === 1 ?
-          _ol_math_.modulo(animation.targetRotation + Math.PI, 2 * Math.PI) - Math.PI :
+          modulo(animation.targetRotation + Math.PI, 2 * Math.PI) - Math.PI :
           animation.sourceRotation + progress * (animation.targetRotation - animation.sourceRotation);
         if (animation.anchor) {
           this.set(_ol_ViewProperty_.CENTER,
diff --git a/src/ol/color.js b/src/ol/color.js
index 6baa54d32a..7030d797ff 100644
--- a/src/ol/color.js
+++ b/src/ol/color.js
@@ -2,7 +2,7 @@
  * @module ol/color
  */
 import {assert} from './asserts.js';
-import _ol_math_ from './math.js';
+import {clamp} from './math.js';
 
 
 /**
@@ -184,10 +184,10 @@ function fromStringInternal_(s) {
  */
 export function normalize(color, opt_color) {
   var result = opt_color || [];
-  result[0] = _ol_math_.clamp((color[0] + 0.5) | 0, 0, 255);
-  result[1] = _ol_math_.clamp((color[1] + 0.5) | 0, 0, 255);
-  result[2] = _ol_math_.clamp((color[2] + 0.5) | 0, 0, 255);
-  result[3] = _ol_math_.clamp(color[3], 0, 1);
+  result[0] = clamp((color[0] + 0.5) | 0, 0, 255);
+  result[1] = clamp((color[1] + 0.5) | 0, 0, 255);
+  result[2] = clamp((color[2] + 0.5) | 0, 0, 255);
+  result[3] = clamp(color[3], 0, 1);
   return result;
 }
 
diff --git a/src/ol/control/ZoomSlider.js b/src/ol/control/ZoomSlider.js
index eaea49b7c8..fb95d51492 100644
--- a/src/ol/control/ZoomSlider.js
+++ b/src/ol/control/ZoomSlider.js
@@ -11,7 +11,7 @@ import {easeOut} from '../easing.js';
 import _ol_events_ from '../events.js';
 import Event from '../events/Event.js';
 import EventType from '../events/EventType.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 import PointerEventType from '../pointer/EventType.js';
 import _ol_pointer_PointerEventHandler_ from '../pointer/PointerEventHandler.js';
 
@@ -338,7 +338,7 @@ ZoomSlider.prototype.getRelativePosition_ = function(x, y) {
   } else {
     amount = y / this.heightLimit_;
   }
-  return _ol_math_.clamp(amount, 0, 1);
+  return clamp(amount, 0, 1);
 };
 
 
diff --git a/src/ol/coordinate.js b/src/ol/coordinate.js
index bf72f45883..2a4ec0a50d 100644
--- a/src/ol/coordinate.js
+++ b/src/ol/coordinate.js
@@ -1,7 +1,7 @@
 /**
  * @module ol/coordinate
  */
-import _ol_math_ from './math.js';
+import {modulo} from './math.js';
 import _ol_string_ from './string.js';
 var _ol_coordinate_ = {};
 
@@ -142,7 +142,7 @@ _ol_coordinate_.createStringXY = function(opt_fractionDigits) {
  * @return {string} String.
  */
 _ol_coordinate_.degreesToStringHDMS = function(hemispheres, degrees, opt_fractionDigits) {
-  var normalizedDegrees = _ol_math_.modulo(degrees + 180, 360) - 180;
+  var normalizedDegrees = modulo(degrees + 180, 360) - 180;
   var x = Math.abs(3600 * normalizedDegrees);
   var dflPrecision = opt_fractionDigits || 0;
   var precision = Math.pow(10, dflPrecision);
diff --git a/src/ol/format/KML.js b/src/ol/format/KML.js
index 7062775c67..a35c92a8a3 100644
--- a/src/ol/format/KML.js
+++ b/src/ol/format/KML.js
@@ -18,7 +18,7 @@ import MultiPoint from '../geom/MultiPoint.js';
 import MultiPolygon from '../geom/MultiPolygon.js';
 import Point from '../geom/Point.js';
 import Polygon from '../geom/Polygon.js';
-import _ol_math_ from '../math.js';
+import {toRadians} from '../math.js';
 import {get as getProjection} from '../proj.js';
 import _ol_style_Fill_ from '../style/Fill.js';
 import _ol_style_Icon_ from '../style/Icon.js';
@@ -617,7 +617,7 @@ KML.IconStyleParser_ = function(node, objectStack) {
   var heading = /** @type {number} */
       (object['heading']);
   if (heading !== undefined) {
-    rotation = _ol_math_.toRadians(heading);
+    rotation = toRadians(heading);
   }
 
   var scale = /** @type {number|undefined} */
diff --git a/src/ol/geom/MultiPoint.js b/src/ol/geom/MultiPoint.js
index 57edf3bba1..859117a9eb 100644
--- a/src/ol/geom/MultiPoint.js
+++ b/src/ol/geom/MultiPoint.js
@@ -10,7 +10,7 @@ import Point from '../geom/Point.js';
 import SimpleGeometry from '../geom/SimpleGeometry.js';
 import _ol_geom_flat_deflate_ from '../geom/flat/deflate.js';
 import _ol_geom_flat_inflate_ from '../geom/flat/inflate.js';
-import _ol_math_ from '../math.js';
+import {squaredDistance as squaredDx} from '../math.js';
 
 /**
  * @classdesc
@@ -69,7 +69,7 @@ MultiPoint.prototype.closestPointXY = function(x, y, closestPoint, minSquaredDis
   var stride = this.stride;
   var i, ii, j;
   for (i = 0, ii = flatCoordinates.length; i < ii; i += stride) {
-    var squaredDistance = _ol_math_.squaredDistance(
+    var squaredDistance = squaredDx(
         x, y, flatCoordinates[i], flatCoordinates[i + 1]);
     if (squaredDistance < minSquaredDistance) {
       minSquaredDistance = squaredDistance;
diff --git a/src/ol/geom/Point.js b/src/ol/geom/Point.js
index 162ea3a663..4e566b42eb 100644
--- a/src/ol/geom/Point.js
+++ b/src/ol/geom/Point.js
@@ -7,7 +7,7 @@ import GeometryLayout from '../geom/GeometryLayout.js';
 import GeometryType from '../geom/GeometryType.js';
 import SimpleGeometry from '../geom/SimpleGeometry.js';
 import _ol_geom_flat_deflate_ from '../geom/flat/deflate.js';
-import _ol_math_ from '../math.js';
+import {squaredDistance as squaredDx} from '../math.js';
 
 /**
  * @classdesc
@@ -45,7 +45,7 @@ Point.prototype.clone = function() {
  */
 Point.prototype.closestPointXY = function(x, y, closestPoint, minSquaredDistance) {
   var flatCoordinates = this.flatCoordinates;
-  var squaredDistance = _ol_math_.squaredDistance(
+  var squaredDistance = squaredDx(
       x, y, flatCoordinates[0], flatCoordinates[1]);
   if (squaredDistance < minSquaredDistance) {
     var stride = this.stride;
diff --git a/src/ol/geom/Polygon.js b/src/ol/geom/Polygon.js
index 3c6f0bb0fa..caa064f731 100644
--- a/src/ol/geom/Polygon.js
+++ b/src/ol/geom/Polygon.js
@@ -18,7 +18,7 @@ import _ol_geom_flat_interiorpoint_ from '../geom/flat/interiorpoint.js';
 import _ol_geom_flat_intersectsextent_ from '../geom/flat/intersectsextent.js';
 import _ol_geom_flat_orient_ from '../geom/flat/orient.js';
 import _ol_geom_flat_simplify_ from '../geom/flat/simplify.js';
-import _ol_math_ from '../math.js';
+import {modulo} from '../math.js';
 
 /**
  * @classdesc
@@ -459,7 +459,7 @@ Polygon.makeRegular = function(polygon, center, radius, opt_angle) {
   var angle, offset;
   for (var i = 0; i <= sides; ++i) {
     offset = i * stride;
-    angle = startAngle + (_ol_math_.modulo(i, sides) * 2 * Math.PI / sides);
+    angle = startAngle + (modulo(i, sides) * 2 * Math.PI / sides);
     flatCoordinates[offset] = center[0] + (radius * Math.cos(angle));
     flatCoordinates[offset + 1] = center[1] + (radius * Math.sin(angle));
   }
diff --git a/src/ol/geom/flat/closest.js b/src/ol/geom/flat/closest.js
index aa4323fb5d..72a7618f98 100644
--- a/src/ol/geom/flat/closest.js
+++ b/src/ol/geom/flat/closest.js
@@ -1,7 +1,7 @@
 /**
  * @module ol/geom/flat/closest
  */
-import _ol_math_ from '../../math.js';
+import {lerp, squaredDistance as squaredDx} from '../../math.js';
 var _ol_geom_flat_closest_ = {};
 
 
@@ -31,7 +31,7 @@ _ol_geom_flat_closest_.point = function(flatCoordinates, offset1, offset2, strid
       offset = offset2;
     } else if (t > 0) {
       for (i = 0; i < stride; ++i) {
-        closestPoint[i] = _ol_math_.lerp(flatCoordinates[offset1 + i],
+        closestPoint[i] = lerp(flatCoordinates[offset1 + i],
             flatCoordinates[offset2 + i], t);
       }
       closestPoint.length = stride;
@@ -63,7 +63,7 @@ _ol_geom_flat_closest_.getMaxSquaredDelta = function(flatCoordinates, offset, en
   for (offset += stride; offset < end; offset += stride) {
     var x2 = flatCoordinates[offset];
     var y2 = flatCoordinates[offset + 1];
-    var squaredDelta = _ol_math_.squaredDistance(x1, y1, x2, y2);
+    var squaredDelta = squaredDx(x1, y1, x2, y2);
     if (squaredDelta > maxSquaredDelta) {
       maxSquaredDelta = squaredDelta;
     }
@@ -137,7 +137,7 @@ _ol_geom_flat_closest_.getClosestPoint = function(flatCoordinates, offset, end,
   var i, squaredDistance;
   if (maxDelta === 0) {
     // All points are identical, so just test the first point.
-    squaredDistance = _ol_math_.squaredDistance(
+    squaredDistance = squaredDx(
         x, y, flatCoordinates[offset], flatCoordinates[offset + 1]);
     if (squaredDistance < minSquaredDistance) {
       for (i = 0; i < stride; ++i) {
@@ -154,7 +154,7 @@ _ol_geom_flat_closest_.getClosestPoint = function(flatCoordinates, offset, end,
   while (index < end) {
     _ol_geom_flat_closest_.point(
         flatCoordinates, index - stride, index, stride, x, y, tmpPoint);
-    squaredDistance = _ol_math_.squaredDistance(x, y, tmpPoint[0], tmpPoint[1]);
+    squaredDistance = squaredDx(x, y, tmpPoint[0], tmpPoint[1]);
     if (squaredDistance < minSquaredDistance) {
       minSquaredDistance = squaredDistance;
       for (i = 0; i < stride; ++i) {
@@ -182,7 +182,7 @@ _ol_geom_flat_closest_.getClosestPoint = function(flatCoordinates, offset, end,
     // Check the closing segment.
     _ol_geom_flat_closest_.point(
         flatCoordinates, end - stride, offset, stride, x, y, tmpPoint);
-    squaredDistance = _ol_math_.squaredDistance(x, y, tmpPoint[0], tmpPoint[1]);
+    squaredDistance = squaredDx(x, y, tmpPoint[0], tmpPoint[1]);
     if (squaredDistance < minSquaredDistance) {
       minSquaredDistance = squaredDistance;
       for (i = 0; i < stride; ++i) {
diff --git a/src/ol/geom/flat/geodesic.js b/src/ol/geom/flat/geodesic.js
index 943daa134b..7cd0b0e39a 100644
--- a/src/ol/geom/flat/geodesic.js
+++ b/src/ol/geom/flat/geodesic.js
@@ -1,7 +1,7 @@
 /**
  * @module ol/geom/flat/geodesic
  */
-import _ol_math_ from '../../math.js';
+import {squaredSegmentDistance, toRadians, toDegrees} from '../../math.js';
 import {get as getProjection, getTransform} from '../../proj.js';
 var _ol_geom_flat_geodesic_ = {};
 
@@ -59,7 +59,7 @@ _ol_geom_flat_geodesic_.line_ = function(interpolate, transform, squaredToleranc
     fracM = (fracA + fracB) / 2;
     geoM = interpolate(fracM);
     m = transform(geoM);
-    if (_ol_math_.squaredSegmentDistance(m[0], m[1], a[0], a[1],
+    if (squaredSegmentDistance(m[0], m[1], a[0], a[1],
         b[0], b[1]) < squaredTolerance) {
       // If the m point is sufficiently close to the straight line, then we
       // discard it.  Just use the b coordinate and move on to the next line
@@ -95,12 +95,12 @@ _ol_geom_flat_geodesic_.greatCircleArc = function(
 
   var geoProjection = getProjection('EPSG:4326');
 
-  var cosLat1 = Math.cos(_ol_math_.toRadians(lat1));
-  var sinLat1 = Math.sin(_ol_math_.toRadians(lat1));
-  var cosLat2 = Math.cos(_ol_math_.toRadians(lat2));
-  var sinLat2 = Math.sin(_ol_math_.toRadians(lat2));
-  var cosDeltaLon = Math.cos(_ol_math_.toRadians(lon2 - lon1));
-  var sinDeltaLon = Math.sin(_ol_math_.toRadians(lon2 - lon1));
+  var cosLat1 = Math.cos(toRadians(lat1));
+  var sinLat1 = Math.sin(toRadians(lat1));
+  var cosLat2 = Math.cos(toRadians(lat2));
+  var sinLat2 = Math.sin(toRadians(lat2));
+  var cosDeltaLon = Math.cos(toRadians(lon2 - lon1));
+  var sinDeltaLon = Math.sin(toRadians(lon2 - lon1));
   var d = sinLat1 * sinLat2 + cosLat1 * cosLat2 * cosDeltaLon;
 
   return _ol_geom_flat_geodesic_.line_(
@@ -119,10 +119,10 @@ _ol_geom_flat_geodesic_.greatCircleArc = function(
         var x = cosLat1 * sinLat2 - sinLat1 * cosLat2 * cosDeltaLon;
         var theta = Math.atan2(y, x);
         var lat = Math.asin(sinLat1 * cosD + cosLat1 * sinD * Math.cos(theta));
-        var lon = _ol_math_.toRadians(lon1) +
+        var lon = toRadians(lon1) +
             Math.atan2(Math.sin(theta) * sinD * cosLat1,
                 cosD - sinLat1 * Math.sin(lat));
-        return [_ol_math_.toDegrees(lon), _ol_math_.toDegrees(lat)];
+        return [toDegrees(lon), toDegrees(lat)];
       }, getTransform(geoProjection, projection), squaredTolerance);
 };
 
diff --git a/src/ol/geom/flat/interpolate.js b/src/ol/geom/flat/interpolate.js
index 8e4c0ff6ff..76e55f74bc 100644
--- a/src/ol/geom/flat/interpolate.js
+++ b/src/ol/geom/flat/interpolate.js
@@ -2,7 +2,7 @@
  * @module ol/geom/flat/interpolate
  */
 import {binarySearch} from '../../array.js';
-import _ol_math_ from '../../math.js';
+import {lerp} from '../../math.js';
 var _ol_geom_flat_interpolate_ = {};
 
 
@@ -47,9 +47,9 @@ _ol_geom_flat_interpolate_.lineString = function(flatCoordinates, offset, end, s
       var t = (target - cumulativeLengths[-index - 2]) /
           (cumulativeLengths[-index - 1] - cumulativeLengths[-index - 2]);
       var o = offset + (-index - 2) * stride;
-      pointX = _ol_math_.lerp(
+      pointX = lerp(
           flatCoordinates[o], flatCoordinates[o + stride], t);
-      pointY = _ol_math_.lerp(
+      pointY = lerp(
           flatCoordinates[o + 1], flatCoordinates[o + stride + 1], t);
     } else {
       pointX = flatCoordinates[offset + index * stride];
@@ -120,7 +120,7 @@ _ol_geom_flat_interpolate_.lineStringCoordinateAtM = function(flatCoordinates, o
   coordinate = [];
   var i;
   for (i = 0; i < stride - 1; ++i) {
-    coordinate.push(_ol_math_.lerp(flatCoordinates[(lo - 1) * stride + i],
+    coordinate.push(lerp(flatCoordinates[(lo - 1) * stride + i],
         flatCoordinates[lo * stride + i], t));
   }
   coordinate.push(m);
diff --git a/src/ol/geom/flat/simplify.js b/src/ol/geom/flat/simplify.js
index ed396c4d04..f827f81bc1 100644
--- a/src/ol/geom/flat/simplify.js
+++ b/src/ol/geom/flat/simplify.js
@@ -27,7 +27,7 @@
 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 // POSSIBILITY OF SUCH DAMAGE.
 
-import _ol_math_ from '../../math.js';
+import {squaredSegmentDistance, squaredDistance} from '../../math.js';
 var _ol_geom_flat_simplify_ = {};
 
 
@@ -103,7 +103,7 @@ _ol_geom_flat_simplify_.douglasPeucker = function(flatCoordinates, offset, end,
     for (i = first + stride; i < last; i += stride) {
       var x = flatCoordinates[i];
       var y = flatCoordinates[i + 1];
-      var squaredDistance = _ol_math_.squaredSegmentDistance(
+      var squaredDistance = squaredSegmentDistance(
           x, y, x1, y1, x2, y2);
       if (squaredDistance > maxSquaredDistance) {
         index = i;
@@ -221,7 +221,7 @@ _ol_geom_flat_simplify_.radialDistance = function(flatCoordinates, offset, end,
   for (offset += stride; offset < end; offset += stride) {
     x2 = flatCoordinates[offset];
     y2 = flatCoordinates[offset + 1];
-    if (_ol_math_.squaredDistance(x1, y1, x2, y2) > squaredTolerance) {
+    if (squaredDistance(x1, y1, x2, y2) > squaredTolerance) {
       // copy point at offset
       simplifiedFlatCoordinates[simplifiedOffset++] = x2;
       simplifiedFlatCoordinates[simplifiedOffset++] = y2;
diff --git a/src/ol/geom/flat/textpath.js b/src/ol/geom/flat/textpath.js
index 1b0569f3ea..1b02a58901 100644
--- a/src/ol/geom/flat/textpath.js
+++ b/src/ol/geom/flat/textpath.js
@@ -1,7 +1,7 @@
 /**
  * @module ol/geom/flat/textpath
  */
-import _ol_math_ from '../../math.js';
+import {lerp} from '../../math.js';
 var _ol_geom_flat_textpath_ = {};
 
 
@@ -67,8 +67,8 @@ _ol_geom_flat_textpath_.lineString = function(
       }
     }
     var interpolate = segmentPos / segmentLength;
-    var x = _ol_math_.lerp(x1, x2, interpolate);
-    var y = _ol_math_.lerp(y1, y2, interpolate);
+    var x = lerp(x1, x2, interpolate);
+    var y = lerp(y1, y2, interpolate);
     if (previousAngle == angle) {
       if (reverse) {
         data[0] = x;
diff --git a/src/ol/interaction/Interaction.js b/src/ol/interaction/Interaction.js
index 6a9bd864df..d3eccbfd15 100644
--- a/src/ol/interaction/Interaction.js
+++ b/src/ol/interaction/Interaction.js
@@ -5,7 +5,7 @@ import {inherits} from '../index.js';
 import _ol_Object_ from '../Object.js';
 import {easeOut, linear} from '../easing.js';
 import _ol_interaction_Property_ from '../interaction/Property.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 
 
 /**
@@ -198,7 +198,7 @@ Interaction.zoomByDelta = function(view, delta, opt_anchor, opt_duration) {
 
   if (resolution !== undefined) {
     var resolutions = view.getResolutions();
-    resolution = _ol_math_.clamp(
+    resolution = clamp(
         resolution,
         view.getMinResolution() || resolutions[resolutions.length - 1],
         view.getMaxResolution() || resolutions[0]);
diff --git a/src/ol/interaction/MouseWheelZoom.js b/src/ol/interaction/MouseWheelZoom.js
index c7c09d6bc5..47f98b6a5e 100644
--- a/src/ol/interaction/MouseWheelZoom.js
+++ b/src/ol/interaction/MouseWheelZoom.js
@@ -7,7 +7,7 @@ import {easeOut} from '../easing.js';
 import EventType from '../events/EventType.js';
 import _ol_has_ from '../has.js';
 import Interaction from '../interaction/Interaction.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 
 
 /**
@@ -260,7 +260,7 @@ _ol_interaction_MouseWheelZoom_.prototype.handleWheelZoom_ = function(map) {
     view.cancelAnimations();
   }
   var maxDelta = MAX_DELTA;
-  var delta = _ol_math_.clamp(this.delta_, -maxDelta, maxDelta);
+  var delta = clamp(this.delta_, -maxDelta, maxDelta);
   Interaction.zoomByDelta(view, -delta, this.lastAnchor_,
       this.duration_);
   this.mode_ = undefined;
diff --git a/src/ol/layer/Base.js b/src/ol/layer/Base.js
index 9e0af69142..95047043a6 100644
--- a/src/ol/layer/Base.js
+++ b/src/ol/layer/Base.js
@@ -4,7 +4,7 @@
 import {inherits} from '../index.js';
 import _ol_Object_ from '../Object.js';
 import _ol_layer_Property_ from '../layer/Property.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 import _ol_obj_ from '../obj.js';
 
 /**
@@ -76,7 +76,7 @@ _ol_layer_Base_.prototype.getType = function() {
  * @return {ol.LayerState} Layer state.
  */
 _ol_layer_Base_.prototype.getLayerState = function() {
-  this.state_.opacity = _ol_math_.clamp(this.getOpacity(), 0, 1);
+  this.state_.opacity = clamp(this.getOpacity(), 0, 1);
   this.state_.sourceState = this.getSourceState();
   this.state_.visible = this.getVisible();
   this.state_.extent = this.getExtent();
diff --git a/src/ol/layer/Heatmap.js b/src/ol/layer/Heatmap.js
index c6e667de23..de1771c3d2 100644
--- a/src/ol/layer/Heatmap.js
+++ b/src/ol/layer/Heatmap.js
@@ -6,7 +6,7 @@ import {inherits} from '../index.js';
 import _ol_Object_ from '../Object.js';
 import {createCanvasContext2D} from '../dom.js';
 import _ol_layer_Vector_ from '../layer/Vector.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 import _ol_obj_ from '../obj.js';
 import RenderEventType from '../render/EventType.js';
 import _ol_style_Icon_ from '../style/Icon.js';
@@ -111,7 +111,7 @@ var Heatmap = function(opt_options) {
 
   this.setStyle(function(feature, resolution) {
     var weight = weightFunction(feature);
-    var opacity = weight !== undefined ? _ol_math_.clamp(weight, 0, 1) : 1;
+    var opacity = weight !== undefined ? clamp(weight, 0, 1) : 1;
     // cast to 8 bits
     var index = (255 * opacity) | 0;
     var style = this.styleCache_[index];
diff --git a/src/ol/math.js b/src/ol/math.js
index 03f707832c..a7da325e44 100644
--- a/src/ol/math.js
+++ b/src/ol/math.js
@@ -2,8 +2,6 @@
  * @module ol/math
  */
 import {assert} from './asserts.js';
-var _ol_math_ = {};
-
 
 /**
  * Takes a number and clamps it to within the provided bounds.
@@ -13,9 +11,9 @@ var _ol_math_ = {};
  * @return {number} The input number if it is within bounds, or the nearest
  *     number within the bounds.
  */
-_ol_math_.clamp = function(value, min, max) {
+export function clamp(value, min, max) {
   return Math.min(Math.max(value, min), max);
-};
+}
 
 
 /**
@@ -27,7 +25,7 @@ _ol_math_.clamp = function(value, min, max) {
  * @param {number} x X.
  * @return {number} Hyperbolic cosine of x.
  */
-_ol_math_.cosh = (function() {
+export var cosh  = (function() {
   // Wrapped in a iife, to save the overhead of checking for the native
   // implementation on every invocation.
   var cosh;
@@ -49,10 +47,10 @@ _ol_math_.cosh = (function() {
  * @param {number} x X.
  * @return {number} The smallest power of two greater than or equal to x.
  */
-_ol_math_.roundUpToPowerOfTwo = function(x) {
+export function roundUpToPowerOfTwo(x) {
   assert(0 < x, 29); // `x` must be greater than `0`
   return Math.pow(2, Math.ceil(Math.log(x) / Math.LN2));
-};
+}
 
 
 /**
@@ -66,7 +64,7 @@ _ol_math_.roundUpToPowerOfTwo = function(x) {
  * @param {number} y2 Y2.
  * @return {number} Squared distance.
  */
-_ol_math_.squaredSegmentDistance = function(x, y, x1, y1, x2, y2) {
+export function squaredSegmentDistance(x, y, x1, y1, x2, y2) {
   var dx = x2 - x1;
   var dy = y2 - y1;
   if (dx !== 0 || dy !== 0) {
@@ -79,8 +77,8 @@ _ol_math_.squaredSegmentDistance = function(x, y, x1, y1, x2, y2) {
       y1 += dy * t;
     }
   }
-  return _ol_math_.squaredDistance(x, y, x1, y1);
-};
+  return squaredDistance(x, y, x1, y1);
+}
 
 
 /**
@@ -91,11 +89,11 @@ _ol_math_.squaredSegmentDistance = function(x, y, x1, y1, x2, y2) {
  * @param {number} y2 Y2.
  * @return {number} Squared distance.
  */
-_ol_math_.squaredDistance = function(x1, y1, x2, y2) {
+export function squaredDistance(x1, y1, x2, y2) {
   var dx = x2 - x1;
   var dy = y2 - y1;
   return dx * dx + dy * dy;
-};
+}
 
 
 /**
@@ -105,7 +103,7 @@ _ol_math_.squaredDistance = function(x1, y1, x2, y2) {
  *                                     in row-major order.
  * @return {Array.<number>} The resulting vector.
  */
-_ol_math_.solveLinearSystem = function(mat) {
+export function solveLinearSystem(mat) {
   var n = mat.length;
 
   for (var i = 0; i < n; i++) {
@@ -151,7 +149,7 @@ _ol_math_.solveLinearSystem = function(mat) {
     }
   }
   return x;
-};
+}
 
 
 /**
@@ -160,9 +158,9 @@ _ol_math_.solveLinearSystem = function(mat) {
  * @param {number} angleInRadians Angle in radians.
  * @return {number} Angle in degrees.
  */
-_ol_math_.toDegrees = function(angleInRadians) {
+export function toDegrees(angleInRadians) {
   return angleInRadians * 180 / Math.PI;
-};
+}
 
 
 /**
@@ -171,9 +169,9 @@ _ol_math_.toDegrees = function(angleInRadians) {
  * @param {number} angleInDegrees Angle in degrees.
  * @return {number} Angle in radians.
  */
-_ol_math_.toRadians = function(angleInDegrees) {
+export function toRadians(angleInDegrees) {
   return angleInDegrees * Math.PI / 180;
-};
+}
 
 /**
  * Returns the modulo of a / b, depending on the sign of b.
@@ -182,10 +180,10 @@ _ol_math_.toRadians = function(angleInDegrees) {
  * @param {number} b Divisor.
  * @return {number} Modulo.
  */
-_ol_math_.modulo = function(a, b) {
+export function modulo(a, b) {
   var r = a % b;
   return r * b < 0 ? r + b : r;
-};
+}
 
 /**
  * Calculates the linearly interpolated value of x between a and b.
@@ -195,7 +193,6 @@ _ol_math_.modulo = function(a, b) {
  * @param {number} x Value to be interpolated.
  * @return {number} Interpolated value.
  */
-_ol_math_.lerp = function(a, b, x) {
+export function lerp(a, b, x) {
   return a + x * (b - a);
-};
-export default _ol_math_;
+}
diff --git a/src/ol/proj.js b/src/ol/proj.js
index 6aadf4435c..7dfc123ca1 100644
--- a/src/ol/proj.js
+++ b/src/ol/proj.js
@@ -3,7 +3,7 @@
  */
 import Sphere from './Sphere.js';
 import {applyTransform} from './extent.js';
-import math from './math.js';
+import {modulo} from './math.js';
 import EPSG3857 from './proj/EPSG3857.js';
 import EPSG4326 from './proj/EPSG4326.js';
 import Projection from './proj/Projection.js';
@@ -323,7 +323,7 @@ export function toLonLat(coordinate, opt_projection) {
       opt_projection !== undefined ? opt_projection : 'EPSG:3857', 'EPSG:4326');
   var lon = lonLat[0];
   if (lon < -180 || lon > 180) {
-    lonLat[0] = math.modulo(lon + 180, 360) - 180;
+    lonLat[0] = modulo(lon + 180, 360) - 180;
   }
   return lonLat;
 }
diff --git a/src/ol/proj/EPSG3857.js b/src/ol/proj/EPSG3857.js
index 75ecdf9321..33b3bce5cd 100644
--- a/src/ol/proj/EPSG3857.js
+++ b/src/ol/proj/EPSG3857.js
@@ -2,7 +2,7 @@
  * @module ol/proj/EPSG3857
  */
 import {inherits} from '../index.js';
-import _ol_math_ from '../math.js';
+import {cosh} from '../math.js';
 import _ol_proj_Projection_ from '../proj/Projection.js';
 import _ol_proj_Units_ from '../proj/Units.js';
 var _ol_proj_EPSG3857_ = {};
@@ -25,7 +25,7 @@ _ol_proj_EPSG3857_.Projection_ = function(code) {
     global: true,
     worldExtent: _ol_proj_EPSG3857_.WORLD_EXTENT,
     getPointResolution: function(resolution, point) {
-      return resolution / _ol_math_.cosh(point[1] / _ol_proj_EPSG3857_.RADIUS);
+      return resolution / cosh(point[1] / _ol_proj_EPSG3857_.RADIUS);
     }
   });
 };
diff --git a/src/ol/renderer/webgl/TileLayer.js b/src/ol/renderer/webgl/TileLayer.js
index 0d809c1cdb..149f3c7815 100644
--- a/src/ol/renderer/webgl/TileLayer.js
+++ b/src/ol/renderer/webgl/TileLayer.js
@@ -10,7 +10,7 @@ import TileRange from '../../TileRange.js';
 import _ol_TileState_ from '../../TileState.js';
 import {numberSafeCompareFunction} from '../../array.js';
 import {createEmpty, intersects} from '../../extent.js';
-import _ol_math_ from '../../math.js';
+import {roundUpToPowerOfTwo} from '../../math.js';
 import RendererType from '../Type.js';
 import _ol_renderer_webgl_Layer_ from '../webgl/Layer.js';
 import _ol_renderer_webgl_tilelayershader_ from '../webgl/tilelayershader.js';
@@ -201,7 +201,7 @@ _ol_renderer_webgl_TileLayer_.prototype.prepareFrame = function(frameState, laye
     var maxDimension = Math.max(
         tileRangeSize[0] * tilePixelSize[0],
         tileRangeSize[1] * tilePixelSize[1]);
-    var framebufferDimension = _ol_math_.roundUpToPowerOfTwo(maxDimension);
+    var framebufferDimension = roundUpToPowerOfTwo(maxDimension);
     var framebufferExtentDimension = tilePixelResolution * framebufferDimension;
     var origin = tileGrid.getOrigin(z);
     var minX = origin[0] +
diff --git a/src/ol/reproj.js b/src/ol/reproj.js
index 9cb9bc301f..8d5690beea 100644
--- a/src/ol/reproj.js
+++ b/src/ol/reproj.js
@@ -3,7 +3,7 @@
  */
 import {createCanvasContext2D} from './dom.js';
 import {containsCoordinate, createEmpty, extend, getHeight, getTopLeft, getWidth} from './extent.js';
-import _ol_math_ from './math.js';
+import {solveLinearSystem} from './math.js';
 import {getPointResolution, transform} from './proj.js';
 var _ol_reproj_ = {};
 
@@ -181,7 +181,7 @@ _ol_reproj_.render = function(width, height, pixelRatio,
       [0, 0, x1, y1, v1 - v0],
       [0, 0, x2, y2, v2 - v0]
     ];
-    var affineCoefs = _ol_math_.solveLinearSystem(augmentedMatrix);
+    var affineCoefs = solveLinearSystem(augmentedMatrix);
     if (!affineCoefs) {
       return;
     }
diff --git a/src/ol/reproj/Tile.js b/src/ol/reproj/Tile.js
index 7feecf1512..dbab5f9f99 100644
--- a/src/ol/reproj/Tile.js
+++ b/src/ol/reproj/Tile.js
@@ -8,7 +8,7 @@ import _ol_TileState_ from '../TileState.js';
 import _ol_events_ from '../events.js';
 import EventType from '../events/EventType.js';
 import {getArea, getCenter, getIntersection} from '../extent.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 import _ol_reproj_ from '../reproj.js';
 import _ol_reproj_Triangulation_ from '../reproj/Triangulation.js';
 
@@ -157,9 +157,9 @@ var _ol_reproj_Tile_ = function(sourceProj, sourceTileGrid,
 
   if (maxSourceExtent) {
     if (sourceProj.canWrapX()) {
-      sourceExtent[1] = _ol_math_.clamp(
+      sourceExtent[1] = clamp(
           sourceExtent[1], maxSourceExtent[1], maxSourceExtent[3]);
-      sourceExtent[3] = _ol_math_.clamp(
+      sourceExtent[3] = clamp(
           sourceExtent[3], maxSourceExtent[1], maxSourceExtent[3]);
     } else {
       sourceExtent = getIntersection(sourceExtent, maxSourceExtent);
diff --git a/src/ol/reproj/Triangulation.js b/src/ol/reproj/Triangulation.js
index 033b0ee8bb..6d552e9f2a 100644
--- a/src/ol/reproj/Triangulation.js
+++ b/src/ol/reproj/Triangulation.js
@@ -3,7 +3,7 @@
  */
 import {boundingExtent, createEmpty, extendCoordinate, getBottomLeft, getBottomRight,
   getTopLeft, getTopRight, getWidth, intersects} from '../extent.js';
-import _ol_math_ from '../math.js';
+import {modulo} from '../math.js';
 import {getTransform} from '../proj.js';
 
 
@@ -270,10 +270,10 @@ _ol_reproj_Triangulation_.prototype.addQuad_ = function(a, b, c, d,
       var dx;
       if (wrapsX) {
         var centerSrcEstimX =
-            (_ol_math_.modulo(aSrc[0], sourceWorldWidth) +
-             _ol_math_.modulo(cSrc[0], sourceWorldWidth)) / 2;
+            (modulo(aSrc[0], sourceWorldWidth) +
+             modulo(cSrc[0], sourceWorldWidth)) / 2;
         dx = centerSrcEstimX -
-            _ol_math_.modulo(centerSrc[0], sourceWorldWidth);
+            modulo(centerSrc[0], sourceWorldWidth);
       } else {
         dx = (aSrc[0] + cSrc[0]) / 2 - centerSrc[0];
       }
diff --git a/src/ol/source/TileArcGISRest.js b/src/ol/source/TileArcGISRest.js
index f285ab9dfc..bd7f426651 100644
--- a/src/ol/source/TileArcGISRest.js
+++ b/src/ol/source/TileArcGISRest.js
@@ -3,7 +3,7 @@
  */
 import {inherits} from '../index.js';
 import {createEmpty} from '../extent.js';
-import _ol_math_ from '../math.js';
+import {modulo} from '../math.js';
 import _ol_obj_ from '../obj.js';
 import _ol_size_ from '../size.js';
 import _ol_source_TileImage_ from '../source/TileImage.js';
@@ -118,7 +118,7 @@ _ol_source_TileArcGISRest_.prototype.getRequestUrl_ = function(tileCoord, tileSi
   if (urls.length == 1) {
     url = urls[0];
   } else {
-    var index = _ol_math_.modulo(_ol_tilecoord_.hash(tileCoord), urls.length);
+    var index = modulo(_ol_tilecoord_.hash(tileCoord), urls.length);
     url = urls[index];
   }
 
diff --git a/src/ol/source/TileWMS.js b/src/ol/source/TileWMS.js
index 801fd87d13..997a49ccb1 100644
--- a/src/ol/source/TileWMS.js
+++ b/src/ol/source/TileWMS.js
@@ -7,7 +7,7 @@ import {inherits} from '../index.js';
 import {assert} from '../asserts.js';
 import {buffer, createEmpty} from '../extent.js';
 import _ol_obj_ from '../obj.js';
-import _ol_math_ from '../math.js';
+import {modulo} from '../math.js';
 import {get as getProjection, transform, transformExtent} from '../proj.js';
 import _ol_reproj_ from '../reproj.js';
 import _ol_size_ from '../size.js';
@@ -247,7 +247,7 @@ _ol_source_TileWMS_.prototype.getRequestUrl_ = function(tileCoord, tileSize, til
   if (urls.length == 1) {
     url = urls[0];
   } else {
-    var index = _ol_math_.modulo(_ol_tilecoord_.hash(tileCoord), urls.length);
+    var index = modulo(_ol_tilecoord_.hash(tileCoord), urls.length);
     url = urls[index];
   }
   return _ol_uri_.appendParams(url, params);
diff --git a/src/ol/tilegrid/TileGrid.js b/src/ol/tilegrid/TileGrid.js
index c158879d31..f2bec1efbd 100644
--- a/src/ol/tilegrid/TileGrid.js
+++ b/src/ol/tilegrid/TileGrid.js
@@ -6,7 +6,7 @@ import {assert} from '../asserts.js';
 import TileRange from '../TileRange.js';
 import {isSorted, linearFindNearest} from '../array.js';
 import {createOrUpdate, getTopLeft} from '../extent.js';
-import _ol_math_ from '../math.js';
+import {clamp} from '../math.js';
 import _ol_size_ from '../size.js';
 import _ol_tilecoord_ from '../tilecoord.js';
 
@@ -529,7 +529,7 @@ _ol_tilegrid_TileGrid_.prototype.getFullTileRange = function(z) {
 _ol_tilegrid_TileGrid_.prototype.getZForResolution = function(
     resolution, opt_direction) {
   var z = linearFindNearest(this.resolutions_, resolution, opt_direction || 0);
-  return _ol_math_.clamp(z, this.minZoom, this.maxZoom);
+  return clamp(z, this.minZoom, this.maxZoom);
 };
 
 
diff --git a/src/ol/tileurlfunction.js b/src/ol/tileurlfunction.js
index 29732c99be..d00c07d8fc 100644
--- a/src/ol/tileurlfunction.js
+++ b/src/ol/tileurlfunction.js
@@ -2,7 +2,7 @@
  * @module ol/tileurlfunction
  */
 import {assert} from './asserts.js';
-import _ol_math_ from './math.js';
+import {modulo} from './math.js';
 import _ol_tilecoord_ from './tilecoord.js';
 
 
@@ -81,7 +81,7 @@ export function createFromTileUrlFunctions(tileUrlFunctions) {
         return undefined;
       } else {
         var h = _ol_tilecoord_.hash(tileCoord);
-        var index = _ol_math_.modulo(h, tileUrlFunctions.length);
+        var index = modulo(h, tileUrlFunctions.length);
         return tileUrlFunctions[index](tileCoord, pixelRatio, projection);
       }
     }
diff --git a/test/spec/ol/math.test.js b/test/spec/ol/math.test.js
index ed93f51e7e..53a31f3be0 100644
--- a/test/spec/ol/math.test.js
+++ b/test/spec/ol/math.test.js
@@ -1,26 +1,26 @@
-import _ol_math_ from '../../../src/ol/math.js';
+import {clamp, lerp, cosh, roundUpToPowerOfTwo, solveLinearSystem, toDegrees, toRadians, modulo} from '../../../src/ol/math.js';
 
 
 describe('ol.math.clamp', function() {
 
   it('returns the correct value at -Infinity', function() {
-    expect(_ol_math_.clamp(-Infinity, 10, 20)).to.eql(10);
+    expect(clamp(-Infinity, 10, 20)).to.eql(10);
   });
 
   it('returns the correct value at min', function() {
-    expect(_ol_math_.clamp(10, 10, 20)).to.eql(10);
+    expect(clamp(10, 10, 20)).to.eql(10);
   });
 
   it('returns the correct value at mid point', function() {
-    expect(_ol_math_.clamp(15, 10, 20)).to.eql(15);
+    expect(clamp(15, 10, 20)).to.eql(15);
   });
 
   it('returns the correct value at max', function() {
-    expect(_ol_math_.clamp(20, 10, 20)).to.eql(20);
+    expect(clamp(20, 10, 20)).to.eql(20);
   });
 
   it('returns the correct value at Infinity', function() {
-    expect(_ol_math_.clamp(Infinity, 10, 20)).to.eql(20);
+    expect(clamp(Infinity, 10, 20)).to.eql(20);
   });
 
 });
@@ -28,23 +28,23 @@ describe('ol.math.clamp', function() {
 describe('ol.math.cosh', function() {
 
   it('returns the correct value at -Infinity', function() {
-    expect(_ol_math_.cosh(-Infinity)).to.eql(Infinity);
+    expect(cosh(-Infinity)).to.eql(Infinity);
   });
 
   it('returns the correct value at -1', function() {
-    expect(_ol_math_.cosh(-1)).to.roughlyEqual(1.5430806348152437, 1e-9);
+    expect(cosh(-1)).to.roughlyEqual(1.5430806348152437, 1e-9);
   });
 
   it('returns the correct value at 0', function() {
-    expect(_ol_math_.cosh(0)).to.eql(1);
+    expect(cosh(0)).to.eql(1);
   });
 
   it('returns the correct value at 1', function() {
-    expect(_ol_math_.cosh(1)).to.roughlyEqual(1.5430806348152437, 1e-9);
+    expect(cosh(1)).to.roughlyEqual(1.5430806348152437, 1e-9);
   });
 
   it('returns the correct value at Infinity', function() {
-    expect(_ol_math_.cosh(Infinity)).to.eql(Infinity);
+    expect(cosh(Infinity)).to.eql(Infinity);
   });
 
 });
@@ -53,37 +53,37 @@ describe('ol.math.roundUpToPowerOfTwo', function() {
 
   it('raises an exception when x is negative', function() {
     expect(function() {
-      _ol_math_.roundUpToPowerOfTwo(-1);
+      roundUpToPowerOfTwo(-1);
     }).to.throwException();
   });
 
   it('raises an exception when x is zero', function() {
     expect(function() {
-      _ol_math_.roundUpToPowerOfTwo(0);
+      roundUpToPowerOfTwo(0);
     }).to.throwException();
   });
 
   it('returns the expected value for simple powers of two', function() {
-    expect(_ol_math_.roundUpToPowerOfTwo(1)).to.be(1);
-    expect(_ol_math_.roundUpToPowerOfTwo(2)).to.be(2);
-    expect(_ol_math_.roundUpToPowerOfTwo(4)).to.be(4);
-    expect(_ol_math_.roundUpToPowerOfTwo(8)).to.be(8);
-    expect(_ol_math_.roundUpToPowerOfTwo(16)).to.be(16);
-    expect(_ol_math_.roundUpToPowerOfTwo(32)).to.be(32);
-    expect(_ol_math_.roundUpToPowerOfTwo(64)).to.be(64);
-    expect(_ol_math_.roundUpToPowerOfTwo(128)).to.be(128);
-    expect(_ol_math_.roundUpToPowerOfTwo(256)).to.be(256);
+    expect(roundUpToPowerOfTwo(1)).to.be(1);
+    expect(roundUpToPowerOfTwo(2)).to.be(2);
+    expect(roundUpToPowerOfTwo(4)).to.be(4);
+    expect(roundUpToPowerOfTwo(8)).to.be(8);
+    expect(roundUpToPowerOfTwo(16)).to.be(16);
+    expect(roundUpToPowerOfTwo(32)).to.be(32);
+    expect(roundUpToPowerOfTwo(64)).to.be(64);
+    expect(roundUpToPowerOfTwo(128)).to.be(128);
+    expect(roundUpToPowerOfTwo(256)).to.be(256);
   });
 
   it('returns the expected value for simple powers of ten', function() {
-    expect(_ol_math_.roundUpToPowerOfTwo(1)).to.be(1);
-    expect(_ol_math_.roundUpToPowerOfTwo(10)).to.be(16);
-    expect(_ol_math_.roundUpToPowerOfTwo(100)).to.be(128);
-    expect(_ol_math_.roundUpToPowerOfTwo(1000)).to.be(1024);
-    expect(_ol_math_.roundUpToPowerOfTwo(10000)).to.be(16384);
-    expect(_ol_math_.roundUpToPowerOfTwo(100000)).to.be(131072);
-    expect(_ol_math_.roundUpToPowerOfTwo(1000000)).to.be(1048576);
-    expect(_ol_math_.roundUpToPowerOfTwo(10000000)).to.be(16777216);
+    expect(roundUpToPowerOfTwo(1)).to.be(1);
+    expect(roundUpToPowerOfTwo(10)).to.be(16);
+    expect(roundUpToPowerOfTwo(100)).to.be(128);
+    expect(roundUpToPowerOfTwo(1000)).to.be(1024);
+    expect(roundUpToPowerOfTwo(10000)).to.be(16384);
+    expect(roundUpToPowerOfTwo(100000)).to.be(131072);
+    expect(roundUpToPowerOfTwo(1000000)).to.be(1048576);
+    expect(roundUpToPowerOfTwo(10000000)).to.be(16777216);
   });
 
 });
@@ -91,7 +91,7 @@ describe('ol.math.roundUpToPowerOfTwo', function() {
 describe('ol.math.solveLinearSystem', function() {
 
   it('calculates correctly', function() {
-    var result = _ol_math_.solveLinearSystem([
+    var result = solveLinearSystem([
       [2, 1, 3, 1],
       [2, 6, 8, 3],
       [6, 8, 18, 5]
@@ -102,7 +102,7 @@ describe('ol.math.solveLinearSystem', function() {
   });
 
   it('can handle singular matrix', function() {
-    var result = _ol_math_.solveLinearSystem([
+    var result = solveLinearSystem([
       [2, 1, 3, 1],
       [2, 6, 8, 3],
       [2, 1, 3, 1]
@@ -114,60 +114,60 @@ describe('ol.math.solveLinearSystem', function() {
 
 describe('ol.math.toDegrees', function() {
   it('returns the correct value at -π', function() {
-    expect(_ol_math_.toDegrees(-Math.PI)).to.be(-180);
+    expect(toDegrees(-Math.PI)).to.be(-180);
   });
   it('returns the correct value at 0', function() {
-    expect(_ol_math_.toDegrees(0)).to.be(0);
+    expect(toDegrees(0)).to.be(0);
   });
   it('returns the correct value at π', function() {
-    expect(_ol_math_.toDegrees(Math.PI)).to.be(180);
+    expect(toDegrees(Math.PI)).to.be(180);
   });
 });
 
 describe('ol.math.toRadians', function() {
   it('returns the correct value at -180', function() {
-    expect(_ol_math_.toRadians(-180)).to.be(-Math.PI);
+    expect(toRadians(-180)).to.be(-Math.PI);
   });
   it('returns the correct value at 0', function() {
-    expect(_ol_math_.toRadians(0)).to.be(0);
+    expect(toRadians(0)).to.be(0);
   });
   it('returns the correct value at 180', function() {
-    expect(_ol_math_.toRadians(180)).to.be(Math.PI);
+    expect(toRadians(180)).to.be(Math.PI);
   });
 });
 
 describe('ol.math.modulo', function() {
   it('256 / 8 returns 0', function() {
-    expect(_ol_math_.modulo(256, 8)).to.be(0);
+    expect(modulo(256, 8)).to.be(0);
   });
   it('positive and positive returns a positive ', function() {
-    expect(_ol_math_.modulo(7, 8)).to.be(7);
+    expect(modulo(7, 8)).to.be(7);
   });
   it('same Dividend and Divisor returns 0', function() {
-    expect(_ol_math_.modulo(4, 4)).to.be(0);
+    expect(modulo(4, 4)).to.be(0);
   });
   it('negative and positive returns positive', function() {
-    expect(_ol_math_.modulo(-3, 4)).to.be(1);
+    expect(modulo(-3, 4)).to.be(1);
   });
   it('negative and negative returns negative', function() {
-    expect(_ol_math_.modulo(-4, -5)).to.be(-4);
-    expect(_ol_math_.modulo(-3, -4)).to.be(-3);
+    expect(modulo(-4, -5)).to.be(-4);
+    expect(modulo(-3, -4)).to.be(-3);
   });
   it('positive and negative returns negative', function() {
-    expect(_ol_math_.modulo(3, -4)).to.be(-1);
-    expect(_ol_math_.modulo(1, -5)).to.be(-4);
-    expect(_ol_math_.modulo(6, -5)).to.be(-4);
+    expect(modulo(3, -4)).to.be(-1);
+    expect(modulo(1, -5)).to.be(-4);
+    expect(modulo(6, -5)).to.be(-4);
   });
 });
 
 describe('ol.math.lerp', function() {
   it('correctly interpolated numbers', function() {
-    expect(_ol_math_.lerp(0, 0, 0)).to.be(0);
-    expect(_ol_math_.lerp(0, 1, 0)).to.be(0);
-    expect(_ol_math_.lerp(1, 11, 5)).to.be(51);
+    expect(lerp(0, 0, 0)).to.be(0);
+    expect(lerp(0, 1, 0)).to.be(0);
+    expect(lerp(1, 11, 5)).to.be(51);
   });
   it('correctly interpolates floats', function() {
-    expect(_ol_math_.lerp(0, 1, 0.5)).to.be(0.5);
-    expect(_ol_math_.lerp(0.25, 0.75, 0.5)).to.be(0.5);
+    expect(lerp(0, 1, 0.5)).to.be(0.5);
+    expect(lerp(0.25, 0.75, 0.5)).to.be(0.5);
   });
 });