Name: The Riemann Approach to Integration: Local Geometric Theory (Cambridge Tracts in Mathematics) (en Inglés)
Price: 216.75 PEN
Availability: InStock
Author: Washek F. Pfeffer
ISBN: 9780521056823

portada The Riemann Approach to Integration: Local Geometric Theory (Cambridge Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Washek F. Pfeffer

Año

2008

Idioma

Inglés

N° páginas

324

Encuadernación

Tapa Blanda

ISBN

0521056829

ISBN13

9780521056823

N° edición

Categorías

Cálculo

The Riemann Approach to Integration: Local Geometric Theory (Cambridge Tracts in Mathematics) (en Inglés)

Washek F. Pfeffer (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "The Riemann Approach to Integration: Local Geometric Theory (Cambridge Tracts in Mathematics) (en Inglés)"

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.