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A Garden of Integrals (Dolciani Mathematical Expositions)
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by Frank E. Burk
Sales Rank: 221335
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List Price: $53.95
$52.87
At Amazon
on 10-14-2008
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Hardcover: 281 pages
Publisher: Mathematical Association of America May 1, 2007
Language: English
ISBN-10: 088385337X
ISBN-13: 978-0883853375
Product Dimensions:
9.1 x 5.9 x 0.8 inches
Shipping Weight: 1.2 pounds
Product 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 reason for their existence and their uses are given. There is plentiful historical information. The audience for the book is advanced undergraduate mathematics majors, graduate students, and faculty members. Even experienced faculty members are unlikely to be aware of all of the integrals in the Garden of Integrals and the book provides an opportunity to see them and appreciate their richness. Professor Burks clear and well-motivated exposition makes this book a joy to read. The book can serve as a reference, as a supplement to courses that include the theory of integration, and a source of exercises in analysis. There is no other book like it.
Book Description
Though there is essentially only one derivative, there is a variety of integrals. In this book 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. There is no other book like it.
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A Garden of Integrals (Dolciani Mathematical Expositions)
Available from Amazon
Price: $52.87
Updated on 10-14-2008
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