The Riemann Approach to Integration 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Washek F. Pfeffer 作者

Cambridge University Press

译者

2008-3-24 出版日期

324 页数

USD 69.00 价格

Paperback

Cambridge Tracts in Mathematics 丛书系列

9780521056823 图书编码

The Riemann Approach to Integration 在线电子书图书标签: 数学 to theory local integration geometric approach The

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The Riemann Approach to Integration 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Riemann Approach to Integration 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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The Riemann Approach to Integration 在线电子书图书描述

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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