A Garden of Integrals - Rilegato

Burk, Frank

Rilegato

ISBN 10: 088385337X ISBN 13: 9780883853375

Casa editrice: The Mathematical Association of America, 2007

Riassunto

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.

Su questo libro

Descrizione del libro:

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.

L'autore:

Frank Burk was Professor Emeritus at the California State University in Chico before his death in March 2007.

Su questa edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2007
• ISBN 10: 088385337X
• ISBN 13: 9780883853375
• Rilegatura: Copertina rigida
• Numero di pagine: 296