Calculus, Volume 1

Name: Calculus, Volume 1
Availability: InStock
ISBN: 9780471000051

ISBN-10: 0471000051

ISBN-13: 9780471000051

Edition: 2nd 1967 (Revised)

Authors: Tom M. Apostol

List price: $332.95

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Book details

List price: $332.95
Edition: 2nd
Copyright year: 1967
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/16/1991
Binding: Hardcover
Pages: 688
Size: 6.93" wide x 10.35" long x 1.66" tall
Weight: 3.322
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