diff --git a/src/ol/format/geojsonformat.js b/src/ol/format/geojsonformat.js
index 30925927af..efb286b967 100644
--- a/src/ol/format/geojsonformat.js
+++ b/src/ol/format/geojsonformat.js
@@ -3,7 +3,6 @@
 
 goog.provide('ol.format.GeoJSON');
 
-goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('goog.object');
 goog.require('ol.Feature');
@@ -90,7 +89,7 @@ ol.format.GeoJSON.readGeometryCollectionGeometry_ = function(
     object, opt_options) {
   goog.asserts.assert(object.type == 'GeometryCollection',
       'object.type should be GeometryCollection');
-  var geometries = goog.array.map(object.geometries,
+  var geometries = object.geometries.map(
       /**
        * @param {GeoJSONGeometry} geometry Geometry.
        * @return {ol.geom.Geometry} geometry Geometry.
@@ -212,10 +211,9 @@ ol.format.GeoJSON.writeGeometryCollectionGeometry_ = function(
     geometry, opt_options) {
   goog.asserts.assertInstanceof(geometry, ol.geom.GeometryCollection,
       'geometry should be an ol.geom.GeometryCollection');
-  var geometries = goog.array.map(
-      geometry.getGeometriesArray(), function(geometry) {
-        return ol.format.GeoJSON.writeGeometry_(geometry, opt_options);
-      });
+  var geometries = geometry.getGeometriesArray().map(function(geometry) {
+    return ol.format.GeoJSON.writeGeometry_(geometry, opt_options);
+  });
   return /** @type {GeoJSONGeometryCollection} */ ({
     type: 'GeometryCollection',
     geometries: geometries
diff --git a/src/ol/proj/epsg3857projection.js b/src/ol/proj/epsg3857projection.js
index ef2ea19df5..e98fb48d34 100644
--- a/src/ol/proj/epsg3857projection.js
+++ b/src/ol/proj/epsg3857projection.js
@@ -1,6 +1,5 @@
 goog.provide('ol.proj.EPSG3857');
 
-goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('ol.math');
 goog.require('ol.proj');
@@ -91,11 +90,9 @@ ol.proj.EPSG3857.CODES = [
  * @const
  * @type {Array.<ol.proj.Projection>}
  */
-ol.proj.EPSG3857.PROJECTIONS = goog.array.map(
-    ol.proj.EPSG3857.CODES,
-    function(code) {
-      return new ol.proj.EPSG3857_(code);
-    });
+ol.proj.EPSG3857.PROJECTIONS = ol.proj.EPSG3857.CODES.map(function(code) {
+  return new ol.proj.EPSG3857_(code);
+});
 
 
 /**
diff --git a/src/ol/render/box.js b/src/ol/render/box.js
index 4aebaa3617..13b2ac4044 100644
--- a/src/ol/render/box.js
+++ b/src/ol/render/box.js
@@ -3,7 +3,6 @@
 goog.provide('ol.render.Box');
 
 goog.require('goog.Disposable');
-goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('goog.events');
 goog.require('ol.geom.Polygon');
@@ -76,8 +75,7 @@ ol.render.Box.prototype.createGeometry_ = function() {
     endPixel,
     [endPixel[0], startPixel[1]]
   ];
-  var coordinates = goog.array.map(pixels,
-      this.map_.getCoordinateFromPixel, this.map_);
+  var coordinates = pixels.map(this.map_.getCoordinateFromPixel, this.map_);
   // close the polygon
   coordinates[4] = coordinates[0].slice();
   return new ol.geom.Polygon([coordinates]);
diff --git a/src/ol/render/canvas/canvasimmediate.js b/src/ol/render/canvas/canvasimmediate.js
index 85e5f65673..6f30e5820f 100644
--- a/src/ol/render/canvas/canvasimmediate.js
+++ b/src/ol/render/canvas/canvasimmediate.js
@@ -725,7 +725,7 @@ ol.render.canvas.Immediate.prototype.drawText = goog.abstractMethod;
  */
 ol.render.canvas.Immediate.prototype.flush = function() {
   /** @type {Array.<number>} */
-  var zs = goog.array.map(goog.object.getKeys(this.callbacksByZIndex_), Number);
+  var zs = goog.object.getKeys(this.callbacksByZIndex_).map(Number);
   goog.array.sort(zs);
   var i, ii, callbacks, j, jj;
   for (i = 0, ii = zs.length; i < ii; ++i) {
diff --git a/src/ol/render/canvas/canvasreplay.js b/src/ol/render/canvas/canvasreplay.js
index f5805b5f25..fede3fe1aa 100644
--- a/src/ol/render/canvas/canvasreplay.js
+++ b/src/ol/render/canvas/canvasreplay.js
@@ -1960,7 +1960,7 @@ ol.render.canvas.ReplayGroup.prototype.replay = function(
     context, pixelRatio, transform, viewRotation, skippedFeaturesHash) {
 
   /** @type {Array.<number>} */
-  var zs = goog.array.map(goog.object.getKeys(this.replaysByZIndex_), Number);
+  var zs = goog.object.getKeys(this.replaysByZIndex_).map(Number);
   goog.array.sort(zs);
 
   // setup clipping so that the parts of over-simplified geometries are not
@@ -2015,7 +2015,7 @@ ol.render.canvas.ReplayGroup.prototype.replayHitDetection_ = function(
     context, transform, viewRotation, skippedFeaturesHash,
     featureCallback, opt_hitExtent) {
   /** @type {Array.<number>} */
-  var zs = goog.array.map(goog.object.getKeys(this.replaysByZIndex_), Number);
+  var zs = goog.object.getKeys(this.replaysByZIndex_).map(Number);
   goog.array.sort(zs, function(a, b) { return b - a; });
 
   var i, ii, j, replays, replay, result;
diff --git a/src/ol/render/webgl/webglimmediate.js b/src/ol/render/webgl/webglimmediate.js
index 0a311aff89..ae38988c94 100644
--- a/src/ol/render/webgl/webglimmediate.js
+++ b/src/ol/render/webgl/webglimmediate.js
@@ -80,7 +80,7 @@ goog.inherits(ol.render.webgl.Immediate, ol.render.VectorContext);
  */
 ol.render.webgl.Immediate.prototype.flush = function() {
   /** @type {Array.<number>} */
-  var zs = goog.array.map(goog.object.getKeys(this.callbacksByZIndex_), Number);
+  var zs = goog.object.getKeys(this.callbacksByZIndex_).map(Number);
   goog.array.sort(zs);
   var i, ii, callbacks, j, jj;
   for (i = 0, ii = zs.length; i < ii; ++i) {
diff --git a/src/ol/renderer/canvas/canvastilelayerrenderer.js b/src/ol/renderer/canvas/canvastilelayerrenderer.js
index ef44893aeb..5c3e442c0b 100644
--- a/src/ol/renderer/canvas/canvastilelayerrenderer.js
+++ b/src/ol/renderer/canvas/canvastilelayerrenderer.js
@@ -354,7 +354,7 @@ ol.renderer.canvas.TileLayer.prototype.prepareFrame =
   }
 
   /** @type {Array.<number>} */
-  var zs = goog.array.map(goog.object.getKeys(tilesToDrawByZ), Number);
+  var zs = goog.object.getKeys(tilesToDrawByZ).map(Number);
   goog.array.sort(zs);
   var opaque = tileSource.getOpaque();
   var origin = ol.extent.getTopLeft(tileGrid.getTileCoordExtent(
diff --git a/src/ol/renderer/dom/domtilelayerrenderer.js b/src/ol/renderer/dom/domtilelayerrenderer.js
index 2cfa051a2e..48dcf70876 100644
--- a/src/ol/renderer/dom/domtilelayerrenderer.js
+++ b/src/ol/renderer/dom/domtilelayerrenderer.js
@@ -172,7 +172,7 @@ ol.renderer.dom.TileLayer.prototype.prepareFrame =
   }
 
   /** @type {Array.<number>} */
-  var zs = goog.array.map(goog.object.getKeys(tilesToDrawByZ), Number);
+  var zs = goog.object.getKeys(tilesToDrawByZ).map(Number);
   goog.array.sort(zs);
 
   /** @type {Object.<number, boolean>} */
@@ -198,8 +198,7 @@ ol.renderer.dom.TileLayer.prototype.prepareFrame =
   }
 
   /** @type {Array.<number>} */
-  var tileLayerZKeys =
-      goog.array.map(goog.object.getKeys(this.tileLayerZs_), Number);
+  var tileLayerZKeys = goog.object.getKeys(this.tileLayerZs_).map(Number);
   goog.array.sort(tileLayerZKeys);
 
   var i, ii, j, origin, resolution;
diff --git a/src/ol/renderer/webgl/webgltilelayerrenderer.js b/src/ol/renderer/webgl/webgltilelayerrenderer.js
index b068f71dd6..6a7e2c0900 100644
--- a/src/ol/renderer/webgl/webgltilelayerrenderer.js
+++ b/src/ol/renderer/webgl/webgltilelayerrenderer.js
@@ -286,7 +286,7 @@ ol.renderer.webgl.TileLayer.prototype.prepareFrame =
     }
 
     /** @type {Array.<number>} */
-    var zs = goog.array.map(goog.object.getKeys(tilesToDrawByZ), Number);
+    var zs = goog.object.getKeys(tilesToDrawByZ).map(Number);
     goog.array.sort(zs);
     var u_tileOffset = goog.vec.Vec4.createFloat32();
     var i, ii, sx, sy, tileKey, tilesToDraw, tx, ty;
diff --git a/src/ol/source/bingmapssource.js b/src/ol/source/bingmapssource.js
index 490bd7e2a2..70f27aad8e 100644
--- a/src/ol/source/bingmapssource.js
+++ b/src/ol/source/bingmapssource.js
@@ -115,67 +115,63 @@ ol.source.BingMaps.prototype.handleImageryMetadataResponse =
 
   var culture = this.culture_;
   this.tileUrlFunction = ol.TileUrlFunction.createFromTileUrlFunctions(
-      goog.array.map(
-          resource.imageUrlSubdomains,
-          function(subdomain) {
-            var quadKeyTileCoord = [0, 0, 0];
-            var imageUrl = resource.imageUrl
-                .replace('{subdomain}', subdomain)
-                .replace('{culture}', culture);
-            return (
-                /**
-                 * @param {ol.TileCoord} tileCoord Tile coordinate.
-                 * @param {number} pixelRatio Pixel ratio.
-                 * @param {ol.proj.Projection} projection Projection.
-                 * @return {string|undefined} Tile URL.
-                 */
-                function(tileCoord, pixelRatio, projection) {
-                  goog.asserts.assert(ol.proj.equivalent(
-                      projection, sourceProjection),
-                      'projections are equivalent');
-                  if (goog.isNull(tileCoord)) {
-                    return undefined;
-                  } else {
-                    ol.tilecoord.createOrUpdate(tileCoord[0], tileCoord[1],
-                        -tileCoord[2] - 1, quadKeyTileCoord);
-                    return imageUrl.replace('{quadkey}', ol.tilecoord.quadKey(
-                        quadKeyTileCoord));
-                  }
-                });
-          }));
+      resource.imageUrlSubdomains.map(function(subdomain) {
+        var quadKeyTileCoord = [0, 0, 0];
+        var imageUrl = resource.imageUrl
+            .replace('{subdomain}', subdomain)
+            .replace('{culture}', culture);
+        return (
+            /**
+             * @param {ol.TileCoord} tileCoord Tile coordinate.
+             * @param {number} pixelRatio Pixel ratio.
+             * @param {ol.proj.Projection} projection Projection.
+             * @return {string|undefined} Tile URL.
+             */
+            function(tileCoord, pixelRatio, projection) {
+              goog.asserts.assert(ol.proj.equivalent(
+                  projection, sourceProjection),
+                  'projections are equivalent');
+              if (goog.isNull(tileCoord)) {
+                return undefined;
+              } else {
+                ol.tilecoord.createOrUpdate(tileCoord[0], tileCoord[1],
+                    -tileCoord[2] - 1, quadKeyTileCoord);
+                return imageUrl.replace('{quadkey}', ol.tilecoord.quadKey(
+                    quadKeyTileCoord));
+              }
+            });
+      }));
 
   if (resource.imageryProviders) {
     var transform = ol.proj.getTransformFromProjections(
         ol.proj.get('EPSG:4326'), this.getProjection());
 
-    var attributions = goog.array.map(
-        resource.imageryProviders,
-        function(imageryProvider) {
-          var html = imageryProvider.attribution;
-          /** @type {Object.<string, Array.<ol.TileRange>>} */
-          var tileRanges = {};
-          goog.array.forEach(
-              imageryProvider.coverageAreas,
-              function(coverageArea) {
-                var minZ = coverageArea.zoomMin;
-                var maxZ = Math.min(coverageArea.zoomMax, maxZoom);
-                var bbox = coverageArea.bbox;
-                var epsg4326Extent = [bbox[1], bbox[0], bbox[3], bbox[2]];
-                var extent = ol.extent.applyTransform(
-                    epsg4326Extent, transform);
-                var tileRange, z, zKey;
-                for (z = minZ; z <= maxZ; ++z) {
-                  zKey = z.toString();
-                  tileRange = tileGrid.getTileRangeForExtentAndZ(extent, z);
-                  if (zKey in tileRanges) {
-                    tileRanges[zKey].push(tileRange);
-                  } else {
-                    tileRanges[zKey] = [tileRange];
-                  }
-                }
-              });
-          return new ol.Attribution({html: html, tileRanges: tileRanges});
-        });
+    var attributions = resource.imageryProviders.map(function(imageryProvider) {
+      var html = imageryProvider.attribution;
+      /** @type {Object.<string, Array.<ol.TileRange>>} */
+      var tileRanges = {};
+      goog.array.forEach(
+          imageryProvider.coverageAreas,
+          function(coverageArea) {
+            var minZ = coverageArea.zoomMin;
+            var maxZ = Math.min(coverageArea.zoomMax, maxZoom);
+            var bbox = coverageArea.bbox;
+            var epsg4326Extent = [bbox[1], bbox[0], bbox[3], bbox[2]];
+            var extent = ol.extent.applyTransform(
+                epsg4326Extent, transform);
+            var tileRange, z, zKey;
+            for (z = minZ; z <= maxZ; ++z) {
+              zKey = z.toString();
+              tileRange = tileGrid.getTileRangeForExtentAndZ(extent, z);
+              if (zKey in tileRanges) {
+                tileRanges[zKey].push(tileRange);
+              } else {
+                tileRanges[zKey] = [tileRange];
+              }
+            }
+          });
+      return new ol.Attribution({html: html, tileRanges: tileRanges});
+    });
     attributions.push(ol.source.BingMaps.TOS_ATTRIBUTION);
     this.setAttributions(attributions);
   }
diff --git a/src/ol/source/wmtssource.js b/src/ol/source/wmtssource.js
index d4317d8fe6..617a6ded2a 100644
--- a/src/ol/source/wmtssource.js
+++ b/src/ol/source/wmtssource.js
@@ -178,7 +178,7 @@ ol.source.WMTS = function(options) {
 
   var tileUrlFunction = this.urls_.length > 0 ?
       ol.TileUrlFunction.createFromTileUrlFunctions(
-          goog.array.map(this.urls_, createFromWMTSTemplate)) :
+          this.urls_.map(createFromWMTSTemplate)) :
       ol.TileUrlFunction.nullTileUrlFunction;
 
   goog.base(this, {
diff --git a/src/ol/structs/rbush.js b/src/ol/structs/rbush.js
index 9754e159dd..deef53d687 100644
--- a/src/ol/structs/rbush.js
+++ b/src/ol/structs/rbush.js
@@ -1,6 +1,5 @@
 goog.provide('ol.structs.RBush');
 
-goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('goog.object');
 goog.require('ol.ext.rbush');
@@ -150,7 +149,7 @@ ol.structs.RBush.prototype.update = function(extent, value) {
  */
 ol.structs.RBush.prototype.getAll = function() {
   var items = this.rbush_.all();
-  return goog.array.map(items, function(item) {
+  return items.map(function(item) {
     return item[4];
   });
 };
@@ -163,7 +162,7 @@ ol.structs.RBush.prototype.getAll = function() {
  */
 ol.structs.RBush.prototype.getInExtent = function(extent) {
   var items = this.rbush_.search(extent);
-  return goog.array.map(items, function(item) {
+  return items.map(function(item) {
     return item[4];
   });
 };
diff --git a/src/ol/tilecoord.js b/src/ol/tilecoord.js
index 99481d48fc..ca0db11bfc 100644
--- a/src/ol/tilecoord.js
+++ b/src/ol/tilecoord.js
@@ -1,7 +1,6 @@
 goog.provide('ol.TileCoord');
 goog.provide('ol.tilecoord');
 
-goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('ol.extent');
 
@@ -35,10 +34,9 @@ ol.tilecoord.createFromString = function(str) {
   var v = str.split('/');
   goog.asserts.assert(v.length === 3,
       'must provide a string in "z/x/y" format, got "%s"', str);
-  v = goog.array.map(v, function(e, i, a) {
+  return v.map(function(e) {
     return parseInt(e, 10);
   });
-  return v;
 };
 
 
diff --git a/src/ol/tilegrid/tilegrid.js b/src/ol/tilegrid/tilegrid.js
index 08b03610c7..ca41fdc315 100644
--- a/src/ol/tilegrid/tilegrid.js
+++ b/src/ol/tilegrid/tilegrid.js
@@ -121,7 +121,7 @@ ol.tilegrid.TileGrid = function(options) {
   if (options.sizes !== undefined) {
     goog.asserts.assert(options.sizes.length == this.resolutions_.length,
         'number of sizes and resolutions must be equal');
-    this.fullTileRanges_ = goog.array.map(options.sizes, function(size, z) {
+    this.fullTileRanges_ = options.sizes.map(function(size, z) {
       goog.asserts.assert(size[0] !== 0, 'width must not be 0');
       goog.asserts.assert(size[1] !== 0, 'height must not be 0');
       var tileRange = new ol.TileRange(
diff --git a/src/ol/tileurlfunction.js b/src/ol/tileurlfunction.js
index cf70c2bf78..0c1c98a196 100644
--- a/src/ol/tileurlfunction.js
+++ b/src/ol/tileurlfunction.js
@@ -1,7 +1,6 @@
 goog.provide('ol.TileUrlFunction');
 goog.provide('ol.TileUrlFunctionType');
 
-goog.require('goog.array');
 goog.require('goog.asserts');
 goog.require('goog.math');
 goog.require('ol.TileCoord');
@@ -73,7 +72,7 @@ ol.TileUrlFunction.createFromTemplate = function(template) {
  */
 ol.TileUrlFunction.createFromTemplates = function(templates) {
   return ol.TileUrlFunction.createFromTileUrlFunctions(
-      goog.array.map(templates, ol.TileUrlFunction.createFromTemplate));
+      templates.map(ol.TileUrlFunction.createFromTemplate));
 };
 
 
diff --git a/test/spec/ol/proj/proj.test.js b/test/spec/ol/proj/proj.test.js
index f9cad11ba1..f18bc0719d 100644
--- a/test/spec/ol/proj/proj.test.js
+++ b/test/spec/ol/proj/proj.test.js
@@ -10,7 +10,7 @@ describe('ol.proj', function() {
   describe('projection equivalence', function() {
 
     function _testAllEquivalent(codes) {
-      var projections = goog.array.map(codes, ol.proj.get);
+      var projections = codes.map(ol.proj.get);
       goog.array.forEach(projections, function(source) {
         goog.array.forEach(projections, function(destination) {
           expect(ol.proj.equivalent(source, destination)).to.be.ok();