Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane

Charles W Swartz, Douglas S Kurtz (Autoren)

Buch | Hardcover

284 Seiten

2004
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-238-843-8 (ISBN)

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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.

Riemann Integral; Convergence Theorems and the Lebesgue Integral; Fundamental Theorem of Calculus and the Henstock-Kurzweil Integral; Absolute Integrability and the McShane Integral.

Reihe/Serie	Series In Real Analysis ; 9
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-238-843-5 / 9812388435
ISBN-13	978-981-238-843-8 / 9789812388438
Zustand	Neuware