| A Garden of Integrals Contributor(s): Burk, Frank (Author) |
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ISBN: 088385337X ISBN-13: 9780883853375 Publisher: Mathematical Association of America (MAA) OUR PRICE: $62.70 Product Type: Hardcover - Other Formats Published: August 2007 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Calculus - Mathematics | Mathematical Analysis |
| Dewey: 515.43 |
| LCCN: 2007925414 |
| Series: Dolciani Mathematical Expositions Dolciani Mathematical Expo |
| Physical Information: 296 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue-Steiltjes, Henstock-Kurzweil, Weiner, and Feynman. The basic properties of each are proved, their similarities and differences are pointed out, and the reasons for their existence and their uses are given, with plentiful historical information. The audience for the book is advanced undergraduate mathematics students, graduate students, and faculty members, of which even the most experienced are unlikely to be aware of all of the integrals in the Garden of Integrals. Professor Burk's clear and well-motivated exposition makes this book a joy to read. There is no other book like it. |
Contributor Bio(s): Burk, Frank: - Frank Burk was Professor Emeritus at the California State University in Chico before his death in March 2007. |