## A Garden of IntegralsThe 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. |

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New MAA Book: A Garden of Integrals

Frank E. Burk's book, A Garden of Integrals, takes an in-depth look at these integrals, which have a long and distinctive history. ...

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A garden of integrals. 2. First there were Newton and Leibniz for whom ... A garden of integrals. 3. short summary of integration theory is given by ...

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A Garden of Integrals can serve as a reference, as a supplement to. courses that include the theory of integration, and a source of exercises in analysis. ...

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University of Texas Libraries /PAL

Title, A garden of integrals / Frank E. Burk. Imprint, Washington, DC : Mathematical Association of America, c2007. item image · Find it at ut ...

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