Riemann Approach to Integration

Name: Riemann Approach to Integration
Brand: Cambridge University Press
SKU: 9780521056823
Price: 74.55 EUR
Availability: InStock

Local Geometric Theory

Автор: Washek F. Pfeffer

Език:

Корици: С меки корици

Издател: Cambridge University Press

Наличност: Външен склад

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74.55 € 145.80 лв

This book presents a detailed and mostly elementary exposition of the generalised Riemann-Stieltjes...

Информация за книгата

Автор

Washek F. Pfeffer

Език

Английски език

Корици

Книга - С меки корици

Издадена

2008

страници

324

EAN

9780521056823

ISBN

0521056829

Enbook ID

02020137

Издател

Cambridge University Press

Теглоt

494

Размери

152 x 228 x 18

Пълно описание

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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Riemann Approach to Integration

Local Geometric Theory

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