Vector calculus
 Author/Creator
 Colley, Susan Jane.
 Language
 English.
 Edition
 4th ed.
 Imprint
 Boston : Pearson, c2012.
 Physical description
 xvii, 603 p. : ill. (some col.) ; 26 cm.
Access
Available online

Stacks

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QA433 .C635 2012

Unknown
QA433 .C635 2012
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Contents/Summary
 Contents

 1. Vectors 1.1 Vectors in Two and Three Dimensions 1.2 More About Vectors 1.3 The Dot Product 1.4 The Cross Product 1.5 Equations for Planes Distance Problems 1.6 Some ndimensional Geometry 1.7 New Coordinate Systems True/False Exercises for Chapter 1 Miscellaneous Exercises for Chapter 1 2. Differentiation in Several Variables 2.1 Functions of Several VariablesGraphing Surfaces 2.2 Limits 2.3 The Derivative 2.4 Properties Higherorder Partial Derivatives 2.5 The Chain Rule 2.6 Directional Derivatives and the Gradient 2.7 Newton's Method (optional) True/False Exercises for Chapter 2 Miscellaneous Exercises for Chapter 2 3. VectorValued Functions 3.1 Parametrized Curves and Kepler's Laws 3.2 Arclength and Differential Geometry 3.3 Vector Fields: An Introduction 3.4 Gradient, Divergence, Curl, and the Del Operator True/False Exercises for Chapter 3 Miscellaneous Exercises for Chapter 3 4. Maxima and Minima in Several Variables 4.1 Differentials and Taylor's Theorem 4.2 Extrema of Functions 4.3 Lagrange Multipliers 4.4 Some Applications of Extrema True/False Exercises for Chapter 4 Miscellaneous Exercises for Chapter 4 5. Multiple Integration 5.1 Introduction: Areas and Volumes 5.2 Double Integrals 5.3 Changing the Order of Integration 5.4 Triple Integrals 5.5 Change of Variables 5.6 Applications of Integration 5.7 Numerical Approximations of Multiple Integrals (optional) True/False Exercises for Chapter 5 Miscellaneous Exercises for Chapter 5 6. Line Integrals 6.1 Scalar and Vector Line Integrals 6.2 Green's Theorem 6.3 Conservative Vector Fields True/False Exercises for Chapter 6 Miscellaneous Exercises for Chapter 6 7. Surface Integrals and Vector Analysis 7.1 Parametrized Surfaces 7.2 Surface Integrals 7.3 Stokes's and Gauss's Theorems 7.4 Further Vector Analysis Maxwell's Equations True/False Exercises for Chapter 7 Miscellaneous Exercises for Chapter 7 8. Vector Analysis in Higher Dimensions 8.1 An Introduction to Differential Forms 8.2 Manifolds and Integrals of kforms 8.3 The Generalized Stokes's Theorem True/False Exercises for Chapter 8 Miscellaneous Exercises for Chapter 8 Suggestions for Further Reading Answers to Selected Exercises Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Vector Calculus, Fourth Edition, uses the language and notation of vectors and matrices to teach multivariable calculus. It is ideal for students with a solid background in singlevariable calculus who are capable of thinking in more general terms about the topics in the course. This text is distinguished from others by its readable narrative, numerous figures, thoughtfully selected examples, and carefully crafted exercise sets. Colley includes not only basic and advanced exercises, but also midlevel exercises that form a necessary bridge between the two.
(source: Nielsen Book Data)
Subjects
 Subject
 Vector analysis.
Bibliographic information
 Publication date
 2012
 Responsibility
 Susan Jane Colley.
 Note
 Includes index.
 ISBN
 9780321780652
 0321780655