This book is intended to be an introductory, yet sophisticated, treatment of measure theory. It should provide an in-depth reference for the practicing mathematician. It is hoped that advanced students as well as instructors will find it useful. The first part of the book should prove useful to both analysts and probabilists. One may treat the second and third parts as an introduction to the theory of probability, or use the fourth part as an introduction to analysis. The treatment is for the most part self-contained. Other than familiarity with general topology, some functional analysis and a certain degree of mathematical sophistication, little is required for profitable reading of this text. At the end of each chapter, exercises are provided which are designed to present some additional material and examples.
Measures and Probabilities
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Inside This Book
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First Sentence:
Let X be the space of continuous functions on [a, b] (a, b reals). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
two conjugate exponents, deduce from part, locally compact subspace, integrable subsets, many compact sets, triadic expansion, integrable set, disjoint complement, summable family, positive linear form, disjoint compact sets, locally bounded variation, disjoint compact subsets, metrizable space, conditional law, ordered vector space, proper expansion, vague topology, filter basis, upper envelope, continuous linear form, compact subinterval, conditional expected value, locally compact group, upper semicontinuous functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Spaces Let, Beppo Levi, Corollary Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Let X be the space of continuous functions on [a, b] (a, b reals). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
two conjugate exponents, deduce from part, locally compact subspace, integrable subsets, many compact sets, triadic expansion, integrable set, disjoint complement, summable family, positive linear form, disjoint compact sets, locally bounded variation, disjoint compact subsets, metrizable space, conditional law, ordered vector space, proper expansion, vague topology, filter basis, upper envelope, continuous linear form, compact subinterval, conditional expected value, locally compact group, upper semicontinuous functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Spaces Let, Beppo Levi, Corollary Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 55
books:
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38
books
cite this book:
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- Functional Analysis by Walter Rudin in Front Matter, page 44, and page 47
- Probability and Measure, 3rd Edition by Patrick Billingsley on page 164, and page 318
- Linear Algebra by Jin Ho Kwak in Front Matter
- Introduction to Arithmetical Functions (Universitext) by Paul J. McCarthy in Front Matter
- Introduction to Algebra (Universitext) by A.I. Kostrikin in Front Matter
See all 55 books this book cites
- Option Theory with Stochastic Analysis: An Introduction to Mathematical Finance (Universitext) by Fred Espen Benth in Back Matter
- Complex Geometry: An Introduction (Universitext) by Daniel Huybrechts in Back Matter
- A Course in Credibility Theory and its Applications (Universitext) by Hans Bühlmann in Back Matter
- Theory and Numerics of Differential Equations by James F. Blowey in Back Matter
- p-adic Numbers: An Introduction (Universitext) by Fernando Quadros Gouvea in Back Matter
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