Measure Theory | Second Edition | Donald L. Cohn | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | Paperback | XXI | Englisch | 2015 | Springer New York | EAN 9781489997623 - Taschenbuch
2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer New York], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally co… Mehr…
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Measure Theory | Second Edition | Donald L. Cohn | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | Paperback | xxi | Englisch | 2015 | Springer US | EAN 9781489997623 - Taschenbuch
2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer US], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact … Mehr…
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Measure Theory / Second Edition / Donald L. Cohn / Taschenbuch / Birkhäuser Advanced Texts Basler Lehrbücher / Paperback / xxi / Englisch / 2015 / Springer US / EAN 9781489997623 - Taschenbuch
2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer US], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact … Mehr…
| booklooker.de |
Measure Theory | Second Edition | Donald L. Cohn | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | Paperback | XXI | Englisch | 2015 | Springer US | EAN 9781489997623 - Taschenbuch
2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer US], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact … Mehr…
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2015, ISBN: 1489997628
Softcover reprint of the original 2nd ed. 2013 Kartoniert / Broschiert Mathematische Analysis, allgemein, Wahrscheinlichkeitsrechnung und Statistik, Stochastik, Banach-Tarskiparadox; Bo… Mehr…
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Measure Theory | Second Edition | Donald L. Cohn | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | Paperback | XXI | Englisch | 2015 | Springer New York | EAN 9781489997623 - Taschenbuch
2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer New York], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally co… Mehr…
Cohn, Donald L.:
Measure Theory | Second Edition | Donald L. Cohn | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | Paperback | xxi | Englisch | 2015 | Springer US | EAN 9781489997623 - Taschenbuch2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer US], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact … Mehr…
Measure Theory / Second Edition / Donald L. Cohn / Taschenbuch / Birkhäuser Advanced Texts Basler Lehrbücher / Paperback / xxi / Englisch / 2015 / Springer US / EAN 9781489997623 - Taschenbuch
2015
ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer US], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact … Mehr…
Measure Theory | Second Edition | Donald L. Cohn | Taschenbuch | Birkhäuser Advanced Texts Basler Lehrbücher | Paperback | XXI | Englisch | 2015 | Springer US | EAN 9781489997623 - Taschenbuch
2015, ISBN: 9781489997623
[ED: Taschenbuch], [PU: Springer US], Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact … Mehr…
2015, ISBN: 1489997628
Softcover reprint of the original 2nd ed. 2013 Kartoniert / Broschiert Mathematische Analysis, allgemein, Wahrscheinlichkeitsrechnung und Statistik, Stochastik, Banach-Tarskiparadox; Bo… Mehr…
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Detailangaben zum Buch - Measure Theory by Donald L. Cohn Paperback | Indigo Chapters
EAN (ISBN-13): 9781489997623
ISBN (ISBN-10): 1489997628
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2015
Herausgeber: Donald L. Cohn
Buch in der Datenbank seit 2015-03-17T22:19:29+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-23T23:23:25+01:00 (Berlin)
ISBN/EAN: 1489997628
ISBN - alternative Schreibweisen:
1-4899-9762-8, 978-1-4899-9762-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: cohn, kurzweil
Titel des Buches: measure theory, advanced second edition, birkhäuser
Daten vom Verlag:
Autor/in: Donald L. Cohn
Titel: Birkhäuser Advanced Texts Basler Lehrbücher; Measure Theory - Second Edition
Verlag: Birkhäuser; Springer US
457 Seiten
Erscheinungsjahr: 2015-08-06
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
60,98 € (DE)
62,69 € (AT)
67,50 CHF (CH)
POD
XXI, 457 p.
BC; Hardcover, Softcover / Mathematik/Analysis; Integralrechnung und -gleichungen; Verstehen; Banach-Tarski paradox; Borel subsets; Daniell integral; Kurzweil-Henstock integral; measure-theoretic probability theory; Measure and Integration; Analysis; Probability Theory; Mathematische Analysis, allgemein; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; BB
Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition includes a chapter on measure-theoretic probability theory, plus brief treatments of the Banach-Tarski paradox, the Henstock-Kurzweil integral, the Daniell integral, and the existence of liftings.
provides a solid background for study in both functional analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are basic courses in point-set topology and in analysis, and the appendices present a thorough review of essential background material.
Measure Theory1. Measures.- Algebras and sigma-algebras.- Measures.- Outer measures.- Lebesgue measure.- Completeness and regularity.- Dynkin classes.- 2. Functions and Integrals.- Measurable functions.- Properties that hold almost everywhere.- The integral.- Limit theorems.- The Riemann integral.- Measurable functions again, complex-valued functions, and image measures.- 3. Convergence.- Modes of Convergence.- Normed spaces.- Definition of L^p and L^p.- Properties of L^p and L-p.- Dual spaces.- 4. Signed and Complex Measures.- Signed and complex measures.- Absolute continuity.- Singularity.- Functions of bounded variation.- The duals of the L^p spaces.- 5. Product Measures.- Constructions.- Fubini’s theorem.- Applications.- 6. Differentiation.- Change of variable in R^d.- Differentiation of measures.- Differentiation of functions.- 7. Measures on Locally Compact Spaces.- Locally compact spaces.- The Riesz representation theorem.- Signed and complex measures; duality.- Additional properties of regular measures.- The µ^*-measurable sets and the dual of L^1.- Products of locally compact spaces.- 8. Polish Spaces and Analytic Sets.- Polish spaces.- Analytic sets.- The separation theorem and its consequences.- The measurability of analytic sets.- Cross sections.- Standard, analytic, Lusin, and Souslin spaces.- 9. Haar Measure.- Topological groups.- The existence and uniqueness of Haar measure.- The algebras L^1 (G) and M (G).- Appendices.- A. Notation and set theory.- B. Algebra.- C. Calculus and topology in R^d.- D. Topological spaces and metric spaces.- E. The Bochner integral.- F Liftings.- G The Banach-Tarski paradox.- H The Henstock-Kurzweil and McShane integralsBibliography.- Index of notation.- Index.
From the book reviews:
“This textbook provides a comprehensive and consistent introduction to measure and integration theory. … The book can be recommended to anyone having basic knowledge of calculus and point-set topology. It is very self-contained, and can thus serve as an excellent reference book as well.” (Ville Suomala, Mathematical Reviews, July, 2014)
“In this second edition, Cohn has updated his excellent introduction to measure theory … and has made this great textbook even better. Those readers unfamiliar with Cohn’s style will discover that his writing is lucid. … this is a wonderful text to learn measure theory from and I strongly recommend it.” (Tushar Das, MAA Reviews, June, 2014)
Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition includes a chapter on measure-theoretic probability theory, plus brief treatments of the Banach-Tarski paradox, the Henstock-Kurzweil integral, the Daniell integral, and the existence of liftings.
provides a solid background for study in both functional analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are basic courses in point-set topology and in analysis, and the appendices present a thorough review of essential background material.
Measure Theory The author aims to present a straightforward treatment of the part of measure theory necessary for analysis and probability' assuming only basic knowledge of analysis and topology...Each chapter includes numerous well-chosen exercises, varying from very routine practice problems to important extensions and developments of the theory; for the difficult ones there are helpful hints. It is the reviewer's opinion that the author has succeeded in his aim. In spite of its lack of new results, the selection and presentation of materials makes this a useful book for an introduction to measure and integration theory. —Mathematical Reviews (Review of the First Edition) The book is a comprehensive and clearly written textbook on measure and integration...The book contains appendices on set theory, algebra, calculus and topology in Euclidean spaces, topological and metric spaces, and the Bochner integral. Each section of the book contains a number of exercises. —zbMATH (Review of the First Edition)
New edition provides additional topics such as the Kurzweil-Henstock integral, Banach-Tasrki paradox, a proof of the existence of liftings, the Daniell integral, and a brief introduction to measure-theoretic probability theory Contains numerous examples and exercises Provides a solid background for study in harmonic analysis and probability theory
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