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Modern Theory of Integration
Robert G. Bartle
€ 105.67
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Description for Modern Theory of Integration
Hardcover. Gives an introduction to the theory of the integral (called the 'generalized Riemann integral' or the 'Henstock-Kurzweil integral') that corrects the defects in the classical Riemann theory and both simplifies and extends the Lebesgue theory of integration. This book includes a study of measure theory as an application of the integral. Series: Graduate Studies in Mathematics. Num Pages: 448 pages, Illustrations. BIC Classification: PBKB; PBKL. Category: (P) Professional & Vocational. Dimension: 186 x 261 x 30. Weight in Grams: 1032.
The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is 'better' because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with 'improper' integrals. This book is an introduction to a relatively new theory of the integral (called the 'generalized Riemann integral' or the 'Henstock-Kurzweil integral') that corrects the defects in ... Read more
The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is 'better' because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with 'improper' integrals. This book is an introduction to a relatively new theory of the integral (called the 'generalized Riemann integral' or the 'Henstock-Kurzweil integral') that corrects the defects in ... Read more
Product Details
Publisher
American Mathematical Society United States
Number of pages
448
Format
Hardback
Publication date
2001
Series
Graduate Studies in Mathematics
Condition
New
Number of Pages
448
Place of Publication
Providence, United States
ISBN
9780821808450
SKU
V9780821808450
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
Reviews for Modern Theory of Integration
A comprehensive, beautifully written exposition. Zentralblatt MATH