Multivariable Calculus ( CAL )

Publication series ：CAL

Author： James Stewart  

Publisher： Cengage‎

Publication year： 2012

E-ISBN: 9781133384533

P-ISBN(Paperback): 9780538497879

Subject： O172 Calculus

Keyword： 代数、数论、组合理论,微积分,数学

Language： ENG

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Description

James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Seventh Edition of MULTIVARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.教学资源：PPT、教师手册、题库、Archived Problems、Challenge Problems、JoinIn clicker slides、Lies My Calculator and Computer Told Me、Tools for Enriching Calculus、Author Website、Enhanced WebAssign。 教学资源目前仅能提供给老师，获取方式如下： 1. 邮箱获取：将教辅需求发邮件至asia.infochina@cengage.com 2. 电话获取：010-83435111 3. 微信获取：关注我们的公众号，会由客服人员答疑解惑 公众号名称：圣智教育服务中心 微信号：Cengage_Learning 4. QQ获取：加入我们的QQ群 群名称：圣智教育服务中心 群号：658668132

Chapter

Cover

Title Page

Copyright

Contents

Preface

10 Parametric Equations and Polar Coordinates

10.1 Curves Defined by Parametric Equations

10.2 Calculus with Parametric Curves

10.3 Polar Coordinates

10.4 Areas and Lengths in Polar Coordinates

10.5 Conic Sections

10.6 Conic Sections in Polar Coordinates

Problems Plus

11 Infinite Sequences and Series

11.1 Sequences

11.2 Series

11.3 The Integral Test and Estimates of Sums

11.4 The Comparison Tests

11.5 Alternating Series

11.6 Absolute Convergence and the Ratio and Root Tests

11.7 Strategy for Testing Series

11.8 Power Series

11.9 Representations of Functions as Power Series

11.10 Taylor and Maclaurin Series

11.11 Applications of Taylor Polynomials

Problems Plus

12 Vectors and the Geometry of Space

12.1 Three-Dimensional Coordinate Systems

12.2 Vectors

12.3 The Dot Product

12.4 The Cross Product

12.5 Equations of Lines and Planes

12.6 Cylinders and Quadric Surfaces

Problems Plus

13 Vector Functions

13.1 Vector Functions and Space Curves

13.2 Derivatives and Integrals of Vector Functions

13.3 Arc Length and Curvature

13.4 Motion in Space:Velocity and Acceleration

Problems Plus

14 Partial Derivatives

14.1 Functions of Several Variables

14.2 Limits and Continuity

14.3 Partial Derivatives

14.4 Tangent Planes and Linear Approximations

14.5 The Chain Rule

14.6 Directional Derivatives and the Gradient Vector

14.7 Maximum and Minimum Values

14.8 Lagrange Multipliers

Problems Plus

15 Multiple Integrals

15.1 Double Integrals over Rectangles

15.2 Iterated Integrals

15.3 Double Integrals over General Regions

15.4 Double Integrals in Polar Coordinates

15.5 Applications of Double Integrals

15.6 Surface Area

15.7 Triple Integrals

15.8 Triple Integrals in Cylindrical Coordinates

15.9 Triple Integrals in Spherical Coordinates

15.10 Change of Variables in Multiple Integrals

Problems Plus

16 Vector Calculus

16.1 Vector Fields

16.2 Line Integrals

16.3 The Fundamental Theorem for Line Integrals

16.4 Green's Theorem

16.5 Curl and Divergence

16.6 Parametric Surfaces and Their Areas

16.7 Surface Integrals

16.8 Stokes' Theorem

16.9 The Divergence Theorem

16.10 Summary

Problems Plus

17 Second-Order Differential Equations

17.1 Second-Order Linear Equations

17.2 Nonhomogeneous Linear Equations

17.3 Applications of Second-Order Differential Equations

17.4 Series Solutions

Appendixes

F Proofs of Theorems

G Complex Numbers

H Answers to Odd-Numbered Exercises

Index

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