The Integral: An Easy Approach after Kurzweil and Henstock - Couverture souple

Yee, Lee Peng

 
9780521779685: The Integral: An Easy Approach after Kurzweil and Henstock

Synopsis

Integration has a long history: its roots can be traced as far back as the ancient Greeks. The first genuinely rigorous definition of an integral was that given by Riemann, and further (more general, and so more useful) definitions have since been given by Lebesgue, Denjoy, Perron, Kurzweil and Henstock, and this culminated in the work of McShane. This textbook provides an introduction to this theory, and it presents a unified yet elementary approach that is suitable for beginning graduate and final year undergraduate students.

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Présentation de l'éditeur

Integration has a long history: its roots can be traced as far back as the ancient Greeks. The first genuinely rigorous definition of an integral was that given by Riemann, and further (more general, and so more useful) definitions have since been given by Lebesgue, Denjoy, Perron, Kurzweil and Henstock, and this culminated in the work of McShane. This textbook provides an introduction to this theory, and it presents a unified yet elementary approach that is suitable for beginning graduate and final year undergraduate students.

Revue de presse

'... already it is worthy of a place in our standard curriculum ... The book of Lee and Vyborny serves well as an introduction and reference for anyone interested in this topic.' J. Alan Alewine and Eric Schechter, American Mathematical Monthly

'... the authors do an excellent job of presenting their material. The book is written with clarity and enthusiasm.' Brian Jefferies

'This is a valuable addition to the literature ...'. Jean Mawhin, Bulletin of the Belgian Mathematical Society

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.