MAT 360 Texts and References

There are several good textbooks for elementary mathematical analysis. Our main text is the following; however, keep in mind that we are NOT going to follow the book page-by-page.

1. J. Marsden and M. Hoffman: Elementary Classical Analysis, 2nd ed., Freeman, 1993

This is a standard introductory text. It has good explanations, nice pictures, many exercises. It contains much more material than we intend to cover in this course.

2. R. P. Boas: A Primer of Real Functions, 4th ed., Mathematical Association of America, 1996.

This is not a textbook, but it is an outstanding monograph written by a master expositor. Its style is lively and exciting, and it reads like a novel. It contains many nice examples, counter-examples, constructions, facts, etc. I will assign parts of it for reading when appropriate.

The following books contain (often more than enough) material we need to cover in this course:

3. W. Rudin: Principles of Mathematical Analysis, 3rd ed., McGraw-Hill, 1976.

This is still the best available text on mathematical analysis, though it is a bit advanced for this course. Try to check out different topics in this book as we discuss them in class. Highly recommended for those who want to pursue Math as a major.

4. T. Apostol: Mathematical Analysis, 2nd ed., Addison-Wesley, 1974.

A very clear (although somewhat lengthy) exposition of the basics plus more advanced topics. It has many exercises ranging from routine to difficult.

5. A. Kolmogorov and S. Fomin: Introductory Real Analysis, Dover, 1977.

Again, this book contains much more material, but the first few chapters are very useful for this course. Note that ``real analysis'' is often used for a more advanced and rather different field which treats measures theory and Lebesgue integration as well.

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