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.
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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.About the Author :
Frank Burk earned his PhD from the University of California, Riverside. He taught mathematics at Chico State University for 37 years before retiring in 2004. His other books are Lebesgue Measure and Integration (John Wiley) and and The Garden of Integrals (Mathematical Association of America).
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Description du livre Mathematical Association of America. Hardcover. État : New. 088385337X New. Looks like an interesting title, learn more! We provide domestic tracking upon request. We provide personalized customer service and want you to have a great experience purchasing from us. 100% satisfaction guaranteed and thank you for your consideration. N° de réf. du libraire S-088385337X
Description du livre Mathematical Association of Am, 2007. Hardcover. État : New. N° de réf. du libraire P11088385337X