eBook - PDF
Theories of Integration
The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and McShane
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- 284 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Theories of Integration
The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and McShane
Book details
Table of contents
Citations
About This Book
This book presents 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 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 can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.
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Yes, you can access Theories of Integration by Douglas S Kurtz, Charles W Swartz;;; in PDF and/or ePUB format, as well as other popular books in Matemáticas & Ecuaciones diferenciales. We have over one million books available in our catalogue for you to explore.
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Topic
MatemáticasSubtopic
Ecuaciones diferencialesTable of contents
- THEORIES OF INTEGRATION: The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane
- Contents
- Preface
- 1. Introduction
- 2. Riemann integral
- 3. Convergence theorems and the Lebesgue integral
- 4. Fundamental Theorem of Calculus and the Henstock-Kurzweil integral
- 5. Absolute integrability and the McShane integral
- Bibliography
- Index