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

Front Cover
Wiley, 1967 - Mathematics - 688 pages
27 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.

From inside the book

What people are saying - Write a review

User ratings

5 stars
4 stars
3 stars
2 stars
1 star

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

User Review  - Goodreads

I enjoyed axiomatic approach taken by Apostle, one of the best books on calculus for beginners. Read full review

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

User Review  - Franklin Colorado - 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


Historical Introduction
Some Basic Concepts of the Theory of Sets
A Set of Axioms for the RealNumber System

17 other sections not shown

Other editions - View all

Common terms and phrases

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.

Bibliographic information