Riemann Approach to Integration by Washek F. Pfeffer
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Riemann Approach to Integration
By Washek F. Pfeffer

The Riemann Approach to Integration

Local Geometric Theory

By (author) See other recent books by Washek F. Pfeffer
Series edited by B. Bollobas See other recent books by B. Bollobas See other recent books by W. Fulton
Format: Hardback

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Riemann Approach to Integration by Washek F. Pfeffer

Book Description

This book presents a detailed and mostly elementary exposition of the generalised Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and McShane. Along with the classical results, it contains some recent developments connected with lipeomorphic change of variables and the divergence theorem for discontinuously differentiable vector fields. Defining the Lebesgue integral in Euclidean spaces from the McShane point of view has a clear pedagogical advantage: the initial stages of development are both conceptually and technically simpler. The McShane integral evolves naturally from the initial ideas about integration taught in basic calculus courses. The difficult transition from subdividing the domain to subdividing the range, intrinsic to the Lebeque definition, is completely bypassed. The unintuitive Caratheodory concept of measurability is also made more palatable by means of locally fine partitions. Although written as a monograph, the book can be used as a graduate text, and certain portions of it can be presented even to advanced undergraduate students with a working knowledge of limits, continuity and differentiation on the real line.

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Book Details

ISBN: 9780521440356
ISBN-10: 0521440351
Format: Hardback
(228mm x 152mm x 22mm)
Pages: 324
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Feb-1994
Country of Publication: United Kingdom

Other Editions...


Books By Author Washek F. Pfeffer

Derivation and Integration by Washek F. Pfeffer Derivation and Integration, Paperback (July 2010)

A 2001 treatment of the classical problem of derivation and integration, with applications to the Gauss-Green and Stokes theorems.

Riemann Approach to Integration by Washek F. Pfeffer Riemann Approach to Integration, Paperback (March 2008)

A detailed exposition of generalised Riemann-Stieltjes integrals.

» View all books by Washek F. Pfeffer

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