Calculus

ISBN-10: 0471000051

ISBN-13: 9780471000051

Edition: 2nd 1967 (Revised)

Authors: Tom M. Apostol

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Book details

List price: $283.95
Edition: 2nd
Copyright year: 1967
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/16/1991
Binding: Hardcover
Pages: 688
Size: 7.25" wide x 10.50" long x 1.25" tall
Weight: 3.278
Language: English

Tom Apostol is an Emeritus Professor of Mathematics at the California Institute of Technology.

Historical Introduction
Some Basic Concepts of the Theory of Sets
A Set of Axioms for the Real Number System
Mathematical Induction, Summation Notation, and Related Topics
The Concepts of the Integral Calculus
Some Applications of Differentiation
Continuous Functions
Differential Calculus
The Relation between Integration and Differentiation
The Logarithm, the Exponential, and the Inverse Trigonometric Functions
Polynomial Approximations to Functions
Introduction to Differential Equations
Complex Numbers
Sequences, Infinite Series, Improper Integrals
Sequences and Series of Functions
Vector Algebra
Applications of Vector Algebra to Analytic Geometry
Calculus of Vector-Valued Functions
Linear Spaces
Linear Transformations and Matrices
Exercises
Answers to Exercises
Index
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