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An introduction to measure and integration

Author: Inder K Rana
Publisher: Harrow, Middlesex, U.K. : Alpha Science International, ©2005.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been presented in terms of measure theory. This book starts with the historical  Read more...

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Document Type: Book
All Authors / Contributors: Inder K Rana
ISBN: 1842651048 9781842651049
OCLC Number: 68567162
Description: xxii, 424 pages : illustrations ; 25 cm
Contents: Preface to the Second Edition / Preface to the First Edition / Recipe for One Semester Course and Interdependence of the Chapters / Notations used in the text / Prologue: The Length Function / Riemann Integration / Recipes for Extending The Riemann Integral / General Extension Theory / The Lebesgue Measure of R and Its Properties / Integration / Fundamental Theorem of The Integral Calculus for Lebesgue Integral / Measure and Integration on Product Spaces / Modes of Convergence and Lp-Spaces / The Radon-Nikodym Theorem and Its Applications / Signed Measures and Complex Measures / Appendix A: Extended Real Numbers / Appendix B: Axiom of Choice / Appendix C: Continuum Hypothesis / Appendix D: Urysohn's Lemma / Appendix E: Singular value decomposition of a Matrix / Appendix F: Functions of bounded variation / Appendix G: Differentiable Transformations / References/ Index / Index of Notations.
Responsibility: Inder K. Rana.

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