Calculus: One-variable calculus, with an introduction to linear algebra

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Wiley, 1967 - Mathematics - 688 pages
14 Reviews
Now available in paperback! An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

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Review: Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

User Review  - Daniel Cunningham - Goodreads

It never ceases to amaze me how even math I supposedly know can be difficult. Yay math. Read full review

Review: Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

User Review  - Frank Palardy - Goodreads

I used this book to refresh my Calculus. It's not easy. There are some newer books that are probably easier. I felt he covered everything, which is what you want. If there were any flaws I didn't notice. Read full review

Contents

Historical Introduction
1
Some Basic Concepts of the Theory of Sets
11
A Set of Axioms for the RealNumber System
17
Copyright

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About the author (1967)

TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

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