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Advanced Calculus

Advanced Calculus - 3rd edition

Advanced Calculus - 3rd edition

ISBN13: 9780471025665

ISBN10: 0471025666

Advanced Calculus by Angus E. Taylor - ISBN 9780471025665
Cover type: Print On Demand
Edition: 3RD 83
Copyright: 1983
Publisher: John Wiley & Sons, Inc.
Published: 1983
International: No
Advanced Calculus by Angus E. Taylor - ISBN 9780471025665

ISBN13: 9780471025665

ISBN10: 0471025666

Cover type: Print On Demand
Edition: 3RD 83

List price: $248.00

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Summary

  • Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis.
  • Reviews elementary and intermediate calculus and features discussions of elementary - point set theory, and properties of continuous functions.

Table of Contents

Table of Contents

Fundamentals of Elementary Calculus
The Real Number System
Continuous Functions
Extensions of the Law of the Mean
Functions of Several Variables
The Elements of Partial Differentiation
General Theorems of Partial Differentiation
Implicit-Function Theorems
The Inverse Function Theorem with Applications
Vectors and Vector Fields
Linear Transformations
Differential Calculus of Functions from Rn to Rm
Double and Triple Integrals
Curves and Surfaces
Line and Surface Integrals
Point-Set Theory
Fundamental Theorems on Continuous Functions
The Theory of Integration
Infinite Series
Uniform Convergence
Power Series
Improper Integrals
Answers to Selected Exercises
Index