Multivariable calculus 8th Edition by James Stewart ISBN 1305266641 978-1305266643

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Product details:

ISBN 10: 305266641 

ISBN 13: 978-1305266643

Author: James Stewart

 Success in your calculus course starts here! James Stewart’s CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With MULTIVARIABLE CALCULUS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.

Table of contents: 

Ch 10: Parametric Equations and Polar Coordinates

Ch 10: Introduction

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

Ch 10: Review

Ch 10: Problems Plus

Ch 11: Infinite Sequences and Series

Ch 11: Introduction

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

Ch 11: Review

Ch 11: Problems Plus

Ch 12: Vectors and the Geometry of Space

Ch 12: Introduction

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

Ch 12: Review

Ch 12: Problems Plus

Ch 13: Vector Functions

Ch 13: Introduction

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

Ch 13: Review

Ch 13: Problems Plus

Ch 14: Partial Derivatives

Ch 14: Introduction

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

Ch 14: Review

Ch 14: Problems Plus

Ch 15: Multiple Integrals

Ch 15: Introduction

15.1: Double Integrals over Rectangles

15.2: Double Integrals over General Regions

15.3: Double Integrals in Polar Coordinates

15.4: Applications of Double Integrals

15.5: Surface Area

15.6: Triple Integrals

15.7: Triple Integrals in Cylindrical Coordinates

15.8: Triple Integrals in Spherical Coordinates

15.9: Change of Variables in Multiple Integrals

Ch 15: Review

Ch 15: Problems Plus

Ch 16: Vector Calculus

Ch 16: Introduction

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

Ch 16: Review

Ch 16: Problems Plus

Ch 17: Second-Order Differential Equations

Ch 17: Introduction

17.1: Second-Order Linear Equations

17.2: Nonhomogeneous Linear Equations

17.3: Applications of Second-Order Differential Equations

17.4: Series Solutions

Ch 17: Review

Appendixes

Appendix F: Proofs of Theorems

Appendix G: Complex Numbers

Appendix H: Answers to Odd-Numbered Exercises

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Tags: James Stewart, Multivariable, Calculus