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The Integrals of Lebesgue, Denjoy, Perron and Henstock
Russell A. Gordon
€ 112.92
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Description for The Integrals of Lebesgue, Denjoy, Perron and Henstock
Hardcover. Offers an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock. This book contains over 230 exercises (with solutions) that illustrate and expand the material. It is suitable for first-year graduate students who have background in real analysis. Series: Graduate Studies in Mathematics. Num Pages: 395 pages. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 260 x 186 x 25. Weight in Grams: 888.
This book provides an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock. The Lebesgue integral and its essential properties are first developed in detail. The other three integrals are all generalizations of the Lebesgue integral that satisfy the ideal version of the Fundamental Theorem of Calculus: if $F$ is differentiable on the interval $[a,b]$, then $F'$ is integrable on $[a,b]$ and $\int_a^b F'= F(b) - F(a)$. One of the book's unique features is that the Denjoy, Perron, and Henstock integrals are each developed fully and carefully from their corresponding definitions.The last part of the ... Read more
This book provides an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock. The Lebesgue integral and its essential properties are first developed in detail. The other three integrals are all generalizations of the Lebesgue integral that satisfy the ideal version of the Fundamental Theorem of Calculus: if $F$ is differentiable on the interval $[a,b]$, then $F'$ is integrable on $[a,b]$ and $\int_a^b F'= F(b) - F(a)$. One of the book's unique features is that the Denjoy, Perron, and Henstock integrals are each developed fully and carefully from their corresponding definitions.The last part of the ... Read more
Product Details
Format
Hardback
Publication date
1994
Publisher
American Mathematical Society United States
Number of pages
395
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
395
Place of Publication
Providence, United States
ISBN
9780821838051
SKU
V9780821838051
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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