Multivariable Calculus Concepts and Contexts

Name: Multivariable Calculus Concepts and Contexts
Price: 5.68 USD
Availability: InStock
ISBN: 9780534410049

ISBN-10: 0534410049

ISBN-13: 9780534410049

Edition: 3rd 2005 (Revised)

Authors: James Stewart

List price: $286.95

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Stewart's MULTIVARIABLE CALCULUS: CONCEPTS AND CONTEXTS focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the main body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience. iLrn Homework helps you identify where you need additional help, and vMentor gives you live, one-on-one online help from an experienced calculus tutor. In addition, the Interactive Video Skillbuilder CD-ROM takes you step-by-step through examples from the book.

Book details

List price: $286.95
Edition: 3rd
Copyright year: 2005
Publisher: Brooks/Cole
Publication date: 11/4/2004
Binding: Hardcover
Pages: 525
Size: 8.00" wide x 10.00" long x 0.75" tall
Weight: 1.122
Language: English




Infinite Sequences and Series


Sequences


Series


The Integral and Comparison Tests; Estimating Sums


Other Convergence Tests


Power Series


Representation of Functions as Power Series


Taylor and Maclaurin Series


The Binomial Series


Applications of Taylor Polynomials


Review


Focus on Problem Solving



Vectors and the Geometry of Space


Three Dimensional Coordinate Systems


Vectors


The Dot Product


The Cross Product


Equations of Lines and Planes


Functions and Surfaces


Cylindrical and Spherical Coordinates


Review


Focus on Problem Solving



Vector Functions


Vector Functions and Space Curves


Derivatives and Integrals of Vector Functions


Arc Length and Curvature


Motion in Space


Parametric Surfaces


Review


Focus on Problem Solving



Partial Derivatives


Functions of Several Variables


Limits and Continuity


Partial Derivatives


Tangent Planes and Linear Approximations


The Chain Rule


Directional Derivatives and the Gradient Vector


Maximum and Minimum Values


Lagrange Multipliers


Review


Focus on Problem Solving



Multiple Integrals


Double Integrals over Rectangles


Interated Integrals


Double Integrals over General Regions


Double Integrals in Polar Coordinates


Applications of Double Integrals


Surface Area


Triple Integrals


Triple Integrals in Cylindrical and Spherical Coordinates


Change of Variables in Multiple Integrals


Review


Focus on Problem Solving



Vector Calculus


Vector Fields


Line Integrals


The Fundamental Theorem for Line Integrals


Green's Theorem


Curl and Divergence


Surface Integrals


Stokes' Theorem


The Divergence Theorem


Summary


Review


Focus on Problem Solving



Intervals, Inequalities, And Absolute Values



Coordinate Geometry



Trigonometry



Precise Definitions Of Limits



A Few Proofs



Sigma Notation



Integration Of Rational Functions By Partial Fractions



Polar Coordinates



Complex Numbers



Answers To Odd-Numbered Exercises


Index.