My main purpose in this book is to present a unified treatment of that part of measure theory which in recent years has shown itself to be most useful for its. Purchase Measure theory and Integration - 2nd Edition. Print Book & E-Book. Free Shipping. Free global shipping. No minimum order.
Intended as a self-contained introduction to measure theory, this textbook provides 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. How to delete a program for mac. Best screen for mac mini. This second edition provides the reader with a broad perspective on measure theory through additional topics such as the Kurzweil-Henstock integral, the Banach-Tarski paradox, a proof of the existence of liftings, the Daniell integral. In addition, applications and introductions to other related areas such as measure-theoretic probability theory are also included in this new edition.
Measure Theory provides a solid background for study in both harmonic analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites are courses in topology and analysis, and the appendices present a thorough review of essential background material.
- Springer New York; July 2013
- ISBN: 9781461469568
- Edition: 2
- Read online, or download in DRM-free PDF format
- Title: Measure Theory
- Series: Birkhäuser Advanced Texts Basler Lehrbücher
- Author: Donald L. Cohn
- Imprint: Birkhäuser
Subject categories
- Mathematics > Calculus
- Mathematics > Probability & Statistics
ISBNs
- 1461469562
- 9781461469551
- 9781461469568
In The Press
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)
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Measure theory is a classical area of mathematics born more than two thousand years ago. Nowadays it continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics.
This book gives an exposition of the foundations of modern measure theory and offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course (the material of this level corresponds to a variety of special courses), and, finally, more specialized topics partly covered by more than 850 exercises.
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Volume 1 (Chapters 1-5) is devoted to the classical theory of measure and integral. Whereas the first volume presents the ideas that go back mainly to Lebesgue, the second volume (Chapters 6-10) is to a large extent the result of the later development up to the recent years. The central subjects in Volume 2 are: transformations of measures, conditional measures, and weak convergence of measures. These three topics are closely interwoven and form the heart of modern measure theory.
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The organization of the book does not require systematic reading from beginning to end; in particular, almost all sections in the supplements are independent of each other and are directly linked only to specific sections of the main part.
Measure Theory Textbook
The target readership includes graduate students interested in deeper knowledge of measure theory, instructors of courses in measure and integration theory, and researchers in all fields of mathematics. The book may serve as a source for many advanced courses or as a reference.