The Integral: An Easy Approach after Kurzweil and Henstock: 14 (Australian Mathematical Society Lecture Series, Series Number 14) - Softcover

Yee, Lee Peng

Softcover

ISBN 10: 0521779685 ISBN 13: 9780521779685

Publisher: Cambridge University Press, 2000

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.

About this title

Review

'... 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

Book Description

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 many others. This textbook provides a unified-yet-elementary introduction to this theory and is suitable for beginning graduate and final year undergraduate students.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2000
• ISBN 10: 0521779685
• ISBN 13: 9780521779685
• Binding: Paperback
• Language: English
• Number of pages: 324