Saturday, September 3, 2011

Calculus: A Modern Approach by Karl Menger

It is an unfortunate reality many textbooks are quite expensive-often over $100.

Karl Menger's Calculus: A Modern Approach is a welcome exception.

This book costs less than $20 (available from Dover). It has the advantage of having been written by a noted Vienna Circle mathematician. One of Menger's areas of expertise was the "explication of [mathematical] concepts" and he also trained US military personnel in mathematics during World War II.

The book suits the needs of the absolute beginner: you can start on page one and proceed with a "miniature calculus" (which is developed into a "full calculus" in the course of the book), or, if you are using the book as a reference or refresher, the book can be used for that as well-note that it includes an entire chapter on scientific applications of calculus.