| A First Course in Real Analysis 1991. Softcover Edition Contributor(s): Protter, Murray H. (Author), Morrey, Charles B. Jr. (Author) |
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ISBN: 146126460X ISBN-13: 9781461264606 Publisher: Springer OUR PRICE: $71.20 Product Type: Paperback Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Functional Analysis - Mathematics | Mathematical Analysis |
| Dewey: 515.8 |
| Series: Undergraduate Texts in Mathematics |
| Physical Information: 1.14" H x 6.14" W x 9.21" (1.71 lbs) 536 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the presentation is on theory, but the book also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series, Fourier series, multidimensional calculus, elements of metric spaces, and vector field theory. There are many exercises that enable the student to learn the techniques of proofs and the standard tools of analysis. In this second edition, improvements have been made in the exposition, and many of the proofs have been simplified. Additionally, this new edition includes an assortment of new exercises and provides answers for the odd-numbered problems. |