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A Garden of Integrals

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dc.contributor.author Burk, Frank
dc.date.accessioned 2022-08-01T08:08:56Z
dc.date.available 2022-08-01T08:08:56Z
dc.date.issued 2007
dc.identifier.uri https://doi.org/10.7135/UPO9781614442097
dc.identifier.uri https://libjncir.jncasr.ac.in/xmlui/handle/123456789/3262
dc.description Contact the library to access the ebook. en_US
dc.description.abstract 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 Burk's 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. en_US
dc.language.iso en en_US
dc.publisher Mathematical Association of America en_US
dc.subject Integrals en_US
dc.title A Garden of Integrals en_US
dc.type Book en_US


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