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Adams, Malcolm

Measure theory and probability by Malcolm Adams and Victor Guillemin - Boston : Birkhauser, ©1996 - xiv, 205 p. : ill. ; 24 cm.

This book includes bibliographical references and index.

Chapter: 1 Measure Theory 1.1. Introduction. 1.2. Randomness. 1.3. Measure Theory. 1.4. Measure Theoretic Modeling Chapter: 2 Integration 2.1. Measurable Functions. 2.2. The Lebesgue Integral. 2.3. Further Properties of the Integral; Convergence Theorems. 2.4. Lebesgue Integration versus Riemann Integration. 2.5. Fubini Theorem. 2.6. Random Variables, Expectation Values, and Independence. 2.7. The Law of Large Numbers. 2.8. The Discrete Dirichlet Problem Chapter: 3 Fourier Analysis 3.1. L[superscript 1]-Theory. 3.2. L[superscript 2]-Theory. 3.3. The Geometry of Hilbert Space. 3.4. Fourier Series. 3.5. The Fourier Integral. 3.6. Some Applications of Fourier Series to Probability Theory. 3.7. An Application of Probability Theory to Fourier Series. 3.8. The Central Limit Theorem

ISBN: 9780817638849

LCCN: 95046511

Subjects--Topical Terms:
Measure theory.
Probabilities.
Distribution (Probability theory)
Mathematics

LC Class. No.: QA273 / .A414 1996

Dewey Class. No.: 515.42 / ADA-M