Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability

by Tom M. Apostol

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.

Genres: Mathematics, Calculus, Science, Reference, Nonfiction, Textbooks, Academic

704 pages, Hardcover

First published January 1, 1962

Reviews

[John · Rating 4 out of 5]

We used this text for freshman and sophomore calculus. It is not a good introductory text for calculus, but is excellent for those who have already had some calculus. I hear that honors calculus classes used it years ago.

I never met Professor Apostle at Caltech. He was the standard freshman math lecturer, and I didn't take the standard sequence.

[Ben Mathew · Rating 5 out of 5]

Apostol vols 1 and 2 are the best way I know of to learn calculus and linear algebra.

[Kohl Gill · Rating 5 out of 5]

Simply the clearest text I've ever had on the subject.