A Garden of Integrals

A Garden of Integrals
Author :
Publisher : MAA
Total Pages : 312
Release :
ISBN-10 : 088385337X
ISBN-13 : 9780883853375
Rating : 4/5 (7X Downloads)

Book Synopsis A Garden of Integrals by : Frank Burk

Download or read book A Garden of Integrals written by Frank Burk and published by MAA. This book was released on 2007-08-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


A Garden of Integrals Related Books

A Garden of Integrals
Language: en
Pages: 312
Authors: Frank Burk
Categories: Mathematics
Type: BOOK - Published: 2007-08-30 - Publisher: MAA

DOWNLOAD EBOOK

The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, devel
Approximate Calculation of Integrals
Language: en
Pages: 372
Authors: V. I. Krylov
Categories: Mathematics
Type: BOOK - Published: 2012-01-27 - Publisher: Courier Corporation

DOWNLOAD EBOOK

An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint
Asymptotic Expansions of Integrals
Language: en
Pages: 453
Authors: Norman Bleistein
Categories: Mathematics
Type: BOOK - Published: 1986-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Wat
Measure and Integral
Language: en
Pages: 289
Authors: Richard Wheeden
Categories: Mathematics
Type: BOOK - Published: 1977-11-01 - Publisher: CRC Press

DOWNLOAD EBOOK

This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensi
Limits, Series, and Fractional Part Integrals
Language: en
Pages: 289
Authors: Ovidiu Furdui
Categories: Mathematics
Type: BOOK - Published: 2013-05-30 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of mode