Theories of Integration: The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane
Charles W Swartz
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Description for Theories of Integration: The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane
Hardback. Using classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock - Kurzweil and McShane, this book shows how new theories of integration were developed to solve problems that earlier integration theories could not handle. Series: Series in Real Analysis. Num Pages: 312 pages, black & white illustrations, black & white line drawings, figures. BIC Classification: PBKL. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 231 x 155 x 25. Weight in Grams: 726.
The book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.
The book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.
Product Details
Format
Hardback
Publication date
2011
Publisher
World Scientific Publishing Co Pte Ltd Singapore
Number of pages
312
Condition
New
Series
Series in Real Analysis
Number of Pages
312
Place of Publication
Singapore, Singapore
ISBN
9789814368995
SKU
V9789814368995
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-2
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