Calculus: Theory and Applications (Volume 1)

This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2.

While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles.