The Riemann Approach to Integration 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Washek F. Pfeffer 作者

Cambridge University Press

譯者

2008-3-24 出版日期

324 頁數

USD 69.00 價格

Paperback

Cambridge Tracts in Mathematics 叢書系列

9780521056823 圖書編碼

The Riemann Approach to Integration 在線電子書圖書標籤: 數學 to theory local integration geometric approach The

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The Riemann Approach to Integration 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Riemann Approach to Integration 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Riemann Approach to Integration 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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The Riemann Approach to Integration 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Riemann Approach to Integration 在線電子書圖書描述

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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