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Multivariable Calculus: Concepts and Contexts (4th Edition) by James Stewart

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About this book :-
Multivariable Calculus: Concepts and Contexts (4th Edition) written by James Stewart .
Stewart's Multivariable CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. The Multivariable Calculus edition contains chapters 11-18 of the full text, and is intended to serve as a single-semester text.

Book Detail :-
Title: Multivariable Calculus: Concepts and Contexts
Edition: 4th
Author(s): James Stewart
Publisher: Cengage Learning
Series:
Year: 2009
Pages: 520
Type: PDF
Language: English
ISBN: 0495560545,9780495560548
Country: Canada
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About Author :- James Drewry Stewart was a Canadian mathematician, violinist, and professor emeritus of mathematics at McMaster University.
He received his M. S. (master of science) at Stanford University and his Ph.D. (doctor of philosophy) from the University of Toronto.
He worked as a postdoctoral fellow at the University of London, where his research focused on harmonic and functional analysis. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a best 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.


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Book Contents :-
Multivariable Calculus: Concepts and Contexts (4th Edition) written by James Stewart cover the following topics.
8. Infinite Sequence and Series
8.1 Sequences, Laboratory Project, Logistic Sequences
8.2 Series
8.3 The Integral and Comparison Tests; Estimating Sums
8.4 Other Convergence Tests
8.5 Power Series
8.6 Representations of Functions as Power Series
8.7 Taylor and Maclaurin Series, Laboratory Project, An Elusive Limit, Writing Project ¦ How Newton Discovered the Binomial Series
8.8 Applications of Taylor Polynomials, Applied Project, Radiation from the Stars, Review
9. Vectors and the Geometry of Space
9.1 Three-Dimensional Coordinate Systems
9.2 Vectors
9.3 The Dot Product,
9.4 The Cross Product, Discovery Project, The Geometry of a Tetrahedron
9.5 Equations of Lines and Planes, Laboratory Project ¦ Putting 3D in Perspective
9.6 Functions and Surfaces 673
9.7 Cylindrical and Spherical Coordinates, Laboratory Project, Families of Surfaces, Review
10. Vector Functions
10.1 Vector Functions and Space Curves
10.2 Derivatives and Integrals of Vector Functions
10.3 Arc Length and Curvature
10.4 Motion in Space: Velocity and Acceleration, Applied Project, Kepler’s Laws
10.5 Parametric Surfaces, Review
11. Partial Derivatives
11.1 Functions of Several Variables
11.2 Limits and Continuity
11.3 Partial Derivatives
11.4 Tangent Planes and Linear Approximations
11.5 The Chain Rule
11.6 Directional Derivatives and the Gradient Vector
11.7 Maximum and Minimum Values, Applied Project ¦ Designing a Dumpster, Discovery Project, Quadratic Approximations and Critical Points
11.8 Lagrange Multipliers, Applied Project ¦ Rocket Science, Applied Project, Hydro-Turbine Optimization
Review
12. Multiple Integrals
12.1 Double Integrals over Rectangles
12.2 Iterated Integrals
12.3 Double Integrals over General Regions
12.4 Double Integrals in Polar Coordinates
12.5 Applications of Double Integrals
12.6 Surface Area,
12.7 Triple Integrals, Discovery Project, Volumes of Hyperspheres
12.8 Triple Integrals in Cylindrical and Spherical Coordinates, Applied Project, Roller Derby, Discovery Project, The Intersection of Three Cylinders
12 Multiple Integrals
12.9 Change of Variables in Multiple Integrals
Review
13. Vector Calculus
13.1 Vector Fields
13.2 Line Integrals
13.3 The Fundamental Theorem for Line Integrals
13.4 Green’s Theorem
13.5 Curl and Divergence
13.6 Surface Integrals, Stokes’ Theorem, Writing Project
13.7 Three Men and Two Theorems
13.8 The Divergence Theorem
13.9 Summary
Review
Appendex
D Precise Definitions of Limits
E A Few Proofs
H Polar Coordinates
I Complex Numbers
J Answers to Odd-Numbered Exercises
Index
Appendixes


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