Analysis and probability / Aurel Spataru.

By:

Spataru, Aurel

Material type: Text

TextSeries: Elsevier insightsPublication details: Amsterdam : Elsevier, 2013.Description: x, 448 p. ; 24 cmISBN:

9780124016651

Subject(s):

DDC classification:

519.2 23 Sp738

Contents:

pt. 1. Analysis -- 1. Elements of Set Theory -- 2. Topological Preliminaries -- 3. Measure Spaces -- 4. The Integral -- 5. Measures on Product v-Algebras -- pt. 2. Probability -- 6. Elementary Notions in Probability Theory -- 7. Distribution Functions and Characteristic Functions -- 8. Probabilities on Metric Spaces -- 9. Central Limit Problem -- 10. Sums of Independent Random Variables -- 11. Conditioning -- 12. Ergodicity, Mixing, and Stationarity-- List of symbols.

Summary: Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology --

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	519.2 Sp738 (Browse shelf(Opens below))	Available		135922

Total holds: 0

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Previous	519.2 Sn671 Introduction to probability theory with computing	519.2 So689 Geometric probability	519.2 So711 Probabilistic modeling and analysis in science and engineering	519.2 Sp738 Analysis and probability /	519.2 Sp745 Strange logic of random graphs	519.2 Sp755 Schaum's outline of theory and problems of probability and statistics	519.2 Sp759 Causation prediction, and search	Next

pt. 1. Analysis --
1. Elements of Set Theory --
2. Topological Preliminaries --
3. Measure Spaces --
4. The Integral --
5. Measures on Product v-Algebras --

pt. 2. Probability --
6. Elementary Notions in Probability Theory --
7. Distribution Functions and Characteristic Functions --
8. Probabilities on Metric Spaces --
9. Central Limit Problem --
10. Sums of Independent Random Variables --
11. Conditioning --
12. Ergodicity, Mixing, and Stationarity--
List of symbols.

Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology --

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