A Garden of Integrals [Dolciani Mathematical Expositions]

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN
9780883853375
Category

About this product

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
088385337X
ISBN-13
9780883853375
eBay Product ID (ePID)
25038697371

Product Key Features

Number of Pages
296 Pages
Publication Name
Garden of Integrals
Language
English
Publication Year
2007
Subject
Calculus, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Author
Frank E. Burk
Series
Dolciani Mathematical Expositions Ser.
Format
Hardcover

Dimensions

Item Height
0.8 in
Item Weight
18.4 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
College Audience
LCCN
2007-925414
Dewey Edition
22
TitleLeading
A
Series Volume Number
31
Illustrated
Yes
Dewey Decimal
515.43
Table Of Content
Foreword; 1. An historical overview; 2. The Cauchy integral; 3. The Riemann integral; 4. The Riemann-Stieltjes integral; 5. Lebesgue measure; 6. The Lebesgue integral; 7. The Lebesgue-Stieltjes integral; 8. The Henstock-Kurzweil integral; 9. The Wiener integral; 10. The Feynman integral; Index; About the author.
Synopsis
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.
LC Classification Number
QA308 .B868 2007

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