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Advanced Calculus

Advanced Calculus - 3rd edition

ISBN13: 978-0471025665

Cover of Advanced Calculus 3RD 83 (ISBN 978-0471025665)
ISBN13: 978-0471025665
ISBN10: 0471025666
Cover type: Print On Demand
Edition/Copyright: 3RD 83
Publisher: John Wiley & Sons, Inc.
Published: 1983
International: No
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Advanced Calculus - 3RD 83 edition

ISBN13: 978-0471025665

Angus E. Taylor

ISBN13: 978-0471025665
ISBN10: 0471025666
Cover type: Print On Demand
Edition/Copyright: 3RD 83
Publisher: John Wiley & Sons, Inc.

Published: 1983
International: No
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

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