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微积分 第7版 下 影印版2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

微积分 第7版 下 影印版
  • （加）史迪沃特（JAMES STEWART）著 著
  • 出版社： 北京：高等教育出版社
  • ISBN：7040396218
  • 出版时间：2014
  • 标注页数：1170页
  • 文件大小：120MB
  • 文件页数：641页
  • 主题词：

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图书目录

11 Infinite Sequences and Series689

11.1 Sequences690

Laboratory Project Logistic Sequences703

11.2 Series703

11.3 The Integral Test and Estimates of Sums714

11.4 The Comparison Tests722

11.5 Alternating Series727

11.6 Absolute Convergence and the Ratio and Root Tests732

11.7 Strategy for Testing Series739

11.8 Power Series741

11.9 Representations of Functions as Power Series746

11.10 Taylor and Maclaurin Series753

Laboratory Project An Elusive Limit767

Writing Project How Newton Discovered the Binomial Series767

11.11 Applications of Taylor Polynomials768

Applied Project Radiation from the Stars777

Review778

Problems Plus781

12 Vectors and the Geometry of Space785

12.1 Three-Dimensional Coordinate Systems786

12.2 Vectors791

12.3 The Dot Product800

12.4 The Cross Product808

Discovery Project The Geometry of a Tetrahedron816

12.5 Equations of Lines and Planes816

Laboratory Project Putting 3D in Perspective826

12.6 Cylinders and Quadric Surfaces827

Review834

Problems Plus837

13 Vector Functions839

13.1 Vector Functions and Space Curves840

13.2 Derivatives and Integrals of Vector Functions847

13.3 Arc Length and Curvature853

13.4 Motion in Space:Velocity and Acceleration862

Applied Project Kepler's Laws872

Review873

Problems Plus876

14 Partial Derivatives877

14.1 Functions of Several Variables878

14.2 Limits and Continuity892

14.3 Partial Derivatives900

14.4 Tangent Planes and Linear Approximations915

14.5 The Chain Rule924

14.6 Directional Derivatives and the Gradient Vector933

14.7 Maximum and Minimum Values946

Applied Project Designing a Dumpster956

Discovery Project Quadratic Approximations and Critical Points956

14.8 Lagrange Multipliers957

Applied Project Rocket Science964

Applied Project Hydro-Turbine Optimization966

Review967

Problems Plus971

15 Multiple Integrals973

15.1 Double Integrals over Rectangles974

15.2 Iterated Integrals982

15.3 Double Integrals over General Regions988

15.4 Double Integrals in Polar Coordinates997

15.5 Applications of Double Integrals1003

15.6 Surface Area1013

15.7 Triple Integrals1017

Discovery Project Volumes of Hyperspheres1027

15.8 Triple Integrals in Cylindrical Coordinates1027

Laboratory Project The Intersection of Three Cylinders1032

15.9 Triple Integrals in Spherical Coordinates1033

Applied Project Roller Derby1039

15.10 Change of Variables in Multiple Integrals1040

Review1049

Problems Plus1053

16 Vector Calculus1055

16.1 Vector Fields1056

16.2 Line Integrals1063

16.3 The Fundamental Theorem for Line Integrals1075

16.4 Green's Theorem1084

16.5 Curl and Divergence1091

16.6 Parametric Surfaces and Their Areas1099

16.7 Surface Integrals1110

16.8 Stokes'Theorem1122

Writing Project Three Men and Two Theorems1128

16.9 The Divergence Theorem1128

16.10 Summary1135

Review1136

Problems Plus1139

17 Second-Order Differential Equations1141

17.1 Second-Order Linear Equations1142

17.2 Nonhomogeneous Linear Equations1148

17.3 Applications of Second-Order Differential Equations1156

17.4 Series Solutions1164

Review1169

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