A Garden of Integrals

Front Cover
MAA, Aug 30, 2007 - Mathematics - 281 pages
0 Reviews
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.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Related books

Contents

An Historical Overview
1
The Cauchy Integral
29
The Riemann Integral
45
The RiemannStieltjes Integral
75
Lebesgue Measure
85
The Lebesgue Integral
111
The LebesgueStieltjes Integral
155
The HenstockKurzweil Integral
169
The Wiener Integral
205
The Feynman Integral
235
Index
279
Copyright

Common terms and phrases

References from web pages

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. ...
www.maa.org/ news/ 061107garden.html

A garden of integrals | scitech Book News | Find Articles at BNET.com
A garden of integrals from scitech Book News in Reference provided free by Find Articles.
findarticles.com/ p/ articles/ mi_m0QLT/ is_2007_Sept/ ai_n20510993

<a href="http://arxiv.org/abs/0802.0895v1">arxiv:0802.0895v1 [math ...
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 ...
arxiv.org/ pdf/ 0802.0895

To order
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. ...
www.ams.org/ notices/ 200710/ tx071001349p.pdf

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 ...
catalog.lib.utexas.edu/ record=b6965503

biggerbooks.com – Discount Bookstore. Bestsellers, New Books, Used ...
A Garden of Integrals. Author(s): Burk, Frank E. ISBN10: 088385337X. ISBN13: 9780883853375. Cover: Hardcover. Copyright: 05/16/2007 ...
www.biggerbooks.com/ book/ 9780883853375

Burk Frank: A Garden Of Integrals | ISBN: 9780883853375 ...
Burk proves the basic properties of various integrals, draws comparisons and analyses their uses
www.bookfayre.cz/ books/ item/ 9780883853375.html.cs

Linear and Nonlinear Aspects of Vortices / The Ginzburg-Landau ...
Название: A Garden of Integrals ISBN: 088385337X ISBN-13(EAN): 9780883853375 Издательство: Cambridge University Press Классификация: ...
www.logobook.ru/ prod_show.php?object_uid=11145070

About the author (2007)

Frank Burk was raised in Liberty, Missouri, and graduated from Liberty High School in 1960, a Merit Scholar. In 1963 he graduated from the University of Missouri with a BA in mathematics. He earned his PhD in mathematics from the University of California, Riverside in 1969. Frank joined the faculty at California State University, Chico as a member of the mathematics department in 1968. He taught 37 years before retiring in 2004. He also taught for Butte College. Frank was the author of two books, this one and Lebesgue Measure and Integration (Wiley, 1998). He was a long-time member of the Mathematical Association of America. Frank was a man of many interests. He was a runner his entire adult life and was one of the founders of the Chico Running Club. Frank earned the rank of Eagle Scout in his youth and continued in scouting as scoutmaster of Troop 230 for 18 years. Frank and his wife were foster parents. He was a proud member of the Greater Chico Kiwanis Club. He was a backpacker and hiked the entire John Muir Trail in 2001. Frank enjoyed reading, gardening, and playing bridge. After a losing battle with cancer, Frank passed away Saturday, Mary 17, 2007, at his home in Chico.

Bibliographic information