| Understanding Infinity: The Mathematics of Infinite Processes Contributor(s): Gardiner, A. (Author), Mathematics (Author) |
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ISBN: 048642538X ISBN-13: 9780486425382 Publisher: Dover Publications OUR PRICE: $17.96 Product Type: Paperback Published: December 2010 Annotation: Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition. |
| Additional Information |
| BISAC Categories: - Mathematics | Infinity |
| Dewey: 515.243 |
| LCCN: 2002071494 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.65" H x 6.22" W x 9.26" (0.90 lbs) 318 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Conceived by the author as an introduction to "why the calculus works" (otherwise known as "analysis"), this volume represents a critical reexamination of the infinite processes encountered in elementary mathematics. Part I presents a broad description of the coming parts, and Part II offers a detailed examination of the infinite processes arising in the realm of number--rational and irrational numbers and their representation as infinite decimals. Most of the text is devoted to analysis of specific examples. Part III explores the extent to which the familiar geometric notions of length, area, and volume depend on infinite processes. Part IV defines the evolution of the concept of functions by examining the most familiar examples--polynomial, rational, exponential, and trigonometric functions. Exercises form an integral part of the text, and the author has provided numerous opportunities for students to reinforce their newly acquired skills. Unabridged republication of Infinite Processes as published by Springer-Verlag, New York, 1982. Preface. Advice to the Reader. Index. |