ISBN: 9781118030981
A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on on… More...
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ISBN: 9781118030981
A superb text on the fundamentals of Lebesgue measure and integration.This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on onl… More...
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ISBN: 9781118030981
A superb text on the fundamentals of Lebesgue measure and integration.This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on onl… More...
hive.co.uk No. 9781118030981. Shipping costs:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., plus shipping costs Details... |
ISBN: 9781118030981
Lebesgue Measure and Integration ab 13.99 € als pdf eBook: An Introduction. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Lebesgue Measure and Integrati… More...
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2011, ISBN: 9781118030981
An Introduction, eBooks, eBook Download (PDF), 1. Auflage, [PU: John Wiley & Sons], John Wiley & Sons, 2011
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ISBN: 9781118030981
A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on on… More...
ISBN: 9781118030981
A superb text on the fundamentals of Lebesgue measure and integration.This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on onl… More...
ISBN: 9781118030981
A superb text on the fundamentals of Lebesgue measure and integration.This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on onl… More...
ISBN: 9781118030981
Lebesgue Measure and Integration ab 13.99 € als pdf eBook: An Introduction. Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Lebesgue Measure and Integrati… More...
2011, ISBN: 9781118030981
An Introduction, eBooks, eBook Download (PDF), 1. Auflage, [PU: John Wiley & Sons], John Wiley & Sons, 2011
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Details of the book - Lebesgue Measure and Integration
EAN (ISBN-13): 9781118030981
ISBN (ISBN-10): 1118030982
Publishing year: 2011
Publisher: John Wiley & Sons
Book in our database since 2008-09-07T20:01:13-04:00 (New York)
Detail page last modified on 2024-01-11T05:34:36-05:00 (New York)
ISBN/EAN: 9781118030981
ISBN - alternate spelling:
1-118-03098-2, 978-1-118-03098-1
Alternate spelling and related search-keywords:
Book author: frank burk
Book title: measure for measure, the last measure, lebesgue measure and integration introduction
Information from Publisher
Author: Frank Burk
Title: Wiley Series in Pure and Applied Mathematics; Lebesgue Measure and Integration - A Wiley-Interscience Series of Texts, Monographs, and Tracts; An Introduction
Publisher: Wiley-Interscience; John Wiley & Sons
312 Pages
Publishing year: 2011-10-14
Language: English
15,99 € (DE)
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EA; E107; E-Book; Nonbooks, PBS / Mathematik; Mathematik; Lebesguesches Integral; Mass (Math.); Mathematical Analysis; Mathematics; Mathematics Special Topics; Mathematik; Mathematik / Analysis; Mathematische Analyse; Spezialthemen Mathematik; Mathematische Analyse; Spezialthemen Mathematik; BB; BC
Preface xi Chapter 1. Historical Highlights 1 1.1 Rearrangements 2 1.2 Eudoxus (408-355 B.C.E.) and the Method of Exhaustion 3 1.3 The Lune of Hippocrates (430 B.C.E.) 5 1.4 Archimedes (287-212 B.C.E.) 7 1.5 Pierre Fermat (1601-1665) 1.6 Gottfried Leibnitz (1646-1716), Issac Newton (1642-1723) 12 1.7 Augustin-Louis Cauchy (1789-1857) 15 1.8 Bernhard Riemann (1826-1866) 17 1.9 Emile Borel (1871 -1956), Camille Jordan (1838-1922), Giuseppe Peano (1858-1932) 20 1.10 Henri Lebesgue (1875-1941), William Young (1863-1942) 22 1.11 Historical Summary 25 1.12 Why Lebesgue 26 Chapter 2. Preliminaries 32 2.1 Sets 32 2.2 Sequences of Sets 34 2.3 Functions 35 2.4 Real Numbers 42 2.5 Extended Real Numbers 49 2.6 Sequences of Real Numbers 51 2.7 Topological Concepts of R 62 2.8 Continuous Functions 66 2.9 Differentiable Functions 73 2.10 Sequences of Functions 75 Chapter 3. Lebesgue Measure 87 3.1 Length of Intervals 90 3.2 Lebesgue Outer Measure 93 3.3 Lebesgue Measurable Sets 100 3.4 BorelSets 112 3.5 "Measuring" 115 3.6 Structure of Lebesgue Measurable Sets 120 Chapter 4. Lebesgue Measurable Functions 126 4.1 Measurable Functions 126 4.2 Sequences of Measurable Functions 135 4.3 Approximating Measurable Functions 137 4.4 Almost Uniform Convergence 141 Chapter 5. Lebesgue Integration 147 5.1 The Riemann Integral 147 5.2 The Lebesgue Integral for Bounded Functions on Sets of Finite Measure 173 5.3 The Lebesgue Integral for Nonnegative Measurable Functions 194 5.4 The Lebesgue Integral and Lebesgue Integrability 224 5.5 Convergence Theorems 237 Appendix A. Cantor's Set 252 Appendix B. A Lebesgue Nonmeasurable Set 266 Appendix C. Lebesgue, Not Borel 273 Appendix D. A Space-Filling Curve 276 Appendix E. An Everywhere Continuous, Nowhere Differentiable, Function 279 References 285 Index 288More/other books that might be very similar to this book
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