The Riemann Approach to Integration (Paperback)

Lingua: inglese

Editore: Cambridge University Press, Cambridge, 2008

0521056829 / 9780521056823

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Paperback. 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. This book presents a detailed and mostly elementary exposition of the generalised Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and McShane more than thirty years ago. Aside from classical results, it contains some recent developments connected with lipeomorphic change of variable and the divergence theorem for discontinuously differentiable vector fields. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Codice articolo 9780521056823

Titolo
The Riemann Approach to Integration (Paperback)
Autore
Washek F. Pfeffer
Editore
Cambridge University Press, Cambridge
Anno di pubblicazione
2008
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
0521056829
ISBN 13
9780521056823

CitiRetail

Stevenage, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 29 giugno 2022

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 7 a 14 giorni lavorativiDa 7 a 60 giorni lavorativi
Primo articoloEUR 43,06EUR 43,06
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