Riemann Approach to Integration: Local Geometric Theory: 109 (Cambridge Tracts in Mathematics, Series Number 109) - Tapa blanda

Pfeffer, Washek F.

 
9780521056823: Riemann Approach to Integration: Local Geometric Theory: 109 (Cambridge Tracts in Mathematics, Series Number 109)

Sinopsis

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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Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

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Otras ediciones populares con el mismo título

9780521440356: The Riemann Approach to Integration Hardback: Local Geometric Theory: 109 (Cambridge Tracts in Mathematics, Series Number 109)

Edición Destacada

ISBN 10:  0521440351 ISBN 13:  9780521440356
Editorial: Cambridge University Press, 1994
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