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Measure theory and probability

By: Contributor(s): Material type: TextTextPublication details: Boston : Birkhauser, ©1996Description: xiv, 205 p. : ill. ; 24 cmISBN:
  • 9780817638849
Subject(s): DDC classification:
  • 515.42 20 ADA-M
LOC classification:
  • QA273 .A414 1996
Contents:
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
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD Reference Mathematics REF 515.42 ADA-M (Browse shelf(Opens below)) Available 012412
Total holds: 0

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

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