عنوان

A garden of integrals /

1614442096

9781614442097

088385337X

9780883853375

b704649

A garden of integrals /

[Book]

Frank Burk.

Washington, DC :

Mathematical Association of America,

©2007.

1 online resource (xiv, 281 pages) :

illustrations

Dolciani mathematical expositions ;

no. 31

Includes bibliographical references and index.

The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there are 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. Historical information is plentiful. Advanced undergraduate mathematics majors, graduate students, and faculty members are the audience for the book. 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 the richness of the idea of integral. Professor Burke's clear and well-motivated exposition makes this book a joy to read.

JSTOR

22573/ctt69twzh

Garden of integrals.

9780883853375

Integrals.

Integral

Integrals.

MATHEMATICS-- Calculus.

MATHEMATICS-- Mathematical Analysis.

Reelle Funktion

MAT-- 005000

MAT-- 034000

MAT005000

Burk, Frank.

Scully, Terence,1935-

20201207200621.0

pn

[Book]

Y