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Multivariable Calculus: Concepts and Contexts, Enhanced Edition,
4th Edition

James Stewart

ISBN-13: 9781337687812 | ISBN-10: 1337687812

Copyright 2019

| Published 2018

| 512 pages

List Price USD $249.95

Overview

Stewart's MULTIVARIABLE CALCULUS: CONCEPTS AND CONTEXTS, ENHANCED EDITION, FOURTH EDITION helps you learn the major concepts of calculus using precise definitions, patient explanations, and a variety of examples and exercises. The text is just one component in a comprehensive calculus course program that combines print, media, and technology tools for successful learning.

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Meet the Authors

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The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

  • Examples are now titled for easier reference, and some new examples have been added. In some cases, solutions given have been amplified, and data has been thoroughly revised and reviewed to reflect current values.
  • Some material has been rewritten for greater clarity or for better motivation. See, for example, the introduction to maximum and minimum values on pages 262-263 and the introduction to series on page 565.
  • In response to user feedback, specific areas of content have been condensed, moved, or expanded upon, including: the material motivating the derivative is briefer and is now a single section called Derivatives and Rates of Change. Rates of Change in the Natural and Social Sciences has been moved later in Ch. 3, to incorporate more differentiation rules. Coverage of inverse trigonometric functions has been consolidated in a single section (3.6). The former sections 4.6 and 4.7 have been merged into one section, with a briefer treatment of optimization problems in business and economics. There is now a full section on volumes by cylindrical shells (6.3).
  • Four new diagnostic tests in the beginning of the book gauge students’ proficiency in Basic Algebra, Analytic Geometry, Functions, and Trigonometry. Answers are provided, and students who don't do well are referred to where they should seek help.
  • INSTRUCTOR RESOURCE GUIDE WITH SOLUTIONS. The instructor's resource guide contains an abundance of resources keyed to the textbook by chapter and section, including diagnostic tests, chapter summaries, teaching strategies, chapter tests and final exams, and more.
  • CONCEPTUAL EXERCISES. The most important way to foster conceptual understanding is through assigned problems. Stewart Concepts offers various types of problems, including explanations/mathematical writing problems, use of graphs and tables, Concept Checks, and True/False quizzes in the review sections.
  • GRADED HOMEWORK EXERCISES. Each exercise set is carefully graded, progressing from basic conceptual exercises and skill-development problems to more challenging problems involving applications and proofs.
  • REAL-WORLD DATA. Interesting real-world data gathered from a variety of contemporary sources introduces, motivates, and illustrates the concepts of calculus.

Table of Contents

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9. VECTORS AND THE GEOMETRY OF SPACE.
Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective. Functions and Surfaces. Cylindrical and Spherical Coordinates. Laboratory Project: Families of Surfaces. Review. Focus on Problem Solving.
10. VECTOR FUNCTIONS.
Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler's Laws. Parametric Surfaces. Review. Focus on Problem Solving.
11. 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. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: Hydro-Turbine Optimization. Review. Focus on Problem Solving.
12. MULTIPLE INTEGRALS.
Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical and Spherical Coordinates. Applied Project: Roller Derby. Discovery Project: The Intersection of Three Cylinders. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving.
13. VECTOR CALCULUS.
Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Surface Integrals. Stokes' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Focus on Problem Solving.
APPENDIXES.
A. Intervals, Inequalities, and Absolute Values.
B. Coordinate Geometry.
C. Trigonometry.
D. Precise Definitions of Limits.
E. A Few Proofs.
F. Sigma Notation.
G. Integration of Rational Functions by Partial Fractions.
H. Polar Coordinates.
I. Complex Numbers.
J. Answers to Odd-Numbered Exercises.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

Solutions Manual (Chapters 9-13) for Stewart's Multivariable Calculus: Concepts and Contexts, Enhanced Edition, 4th

ISBN13:9780495560555
ISBN10:0495560553
Student Solutions Manual (Chapters 9-13)

Complete Solutions Manual (Chapters 9-13) for Stewart's Multivariable Calculus: Concepts and Contexts, Enhanced Edition, 4th

ISBN13:9780495560562
ISBN10:0495560561
This manual includes worked out solutions to every exercise in Multivariable Calculus: Concepts & Contexts, 4e (Chapters 8-13 of Stewart's Calculus: Concepts & Contexts, 4e).

Study Guide for Stewart's Multivariable Calculus: Concepts and Contexts, Enhanced Edition, 4th

ISBN13:9780495560579
ISBN10:049556057X
Contains key concepts, skills to master, a brief discussion of the ideas of the section, and worked-out examples with tips on how to find the solution.

CalcLabs with Maple for Stewart’s Single Variable Calculus: Concepts and Contexts, Enhanced Edition, 4th

ISBN13:9780495560623
ISBN10:0495560626
CalcLabs with Maple for Single Variable Calculus introduces Maple to students who are taking first year calculus and spend at least one hour per week in a computer lab.

CalcLabs with Mathematica for Stewart’s Calculus: Concepts and Contexts Single Variable, Enhanced Edition, 4th

ISBN13:9780495560630
ISBN10:0495560634
CalcLabs with Mathematica for Calculus: Concepts and Contexts Single Variable, Enhanced Edition

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Multivariable Calculus

  • ISBN-10: 1337687812
  • ISBN-13: 9781337687812

Price USD$ 249.95

eBook: Multivariable Calculus 12Months

  • ISBN-10: 8000029448
  • ISBN-13: 9788000029443

Price USD$ 48.49

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