This book is based on an honors Calculus course given in the 1960s. The book contains more material than was normally covered in any one year. It can be used (with omissions) for a year's course in Advanced Calculus, or as a text for a 3-semester introduction to analysis. There are exercises spread throughout the book.

0.Introduction
1.Vector Spaces
2.Finite-Dimensional Vector Spaces
3.The Differential Calculus
4.Compactness and Completeness
5.Scalar Product Spaces
6.Differential Equarions
7.Multilinear Functionals
8.Integration

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