A Radical Approach to Lebesgue's Theory of Integration by David M Bressoud

A Radical Approach to Lebesgue's Theory of Integration by David M Bressoud

Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis.

'This introduction to measure theory and Lebesgue integration is intended for advancerd undergraduate and graduate students in mathematics, and is rooted in and motivated by the historical questions that led to its development' The Times Higher Education Supplement
'Bressoud is an insightful writer and he presents this material in an enchanting fashion. The writing is scholarly but inviting, rigourous but readable.' The UMAP Journal
'The way that facts are presented makes the book accessible for graduate or advanced undergraduate students as an alternative to the standard approach of teaching real analysis. The book will be interesting for teachers as well.' EMS Newsletter
'I find it difficult to think of a better introduction to this cornerstone of modern mathematics and highly recommend the book to a very broad readership of students and researchers alike.' Journal of the American Statistical Association

Bressoud, David M.: - David Bressoud is DeWitt Wallace Professor of Mathematics at Macalester College, Minnesota. He is Chair of the MAA Committee on the Undergraduate Program in Mathematics and Chair-Elect of the MAA Special Interest Group on Teaching Advanced High School Mathematics.

SKU	Nicht verfügbar
ISBN 13	9780521711838
ISBN 10	0521711835
Titel	A Radical Approach to Lebesgue's Theory of Integration
Autor	David M Bressoud
Serie	Mathematical Association Of America Textbooks
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Cambridge University Press
Erscheinungsjahr	2008-01-14
Seitenanzahl	344
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar