MARC details
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| fixed length control field |
02339nam a22003377a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250524020003.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250421b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030564018 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.2 |
| Item number |
KLE-P |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Klenke, Achim |
| 245 00 - TITLE STATEMENT |
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| Title |
Probability theory : |
| Remainder of title |
a comprehensive course |
| Statement of responsibility, etc |
by Achim Klenke |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
3rd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
London : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
©2020 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiv, 716 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
1. Basic Measure Theory |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
2. Independence |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
3. Generating Functions |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
4. The Integral |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
5. Moments and Laws of Large Numbers |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
6. Convergence Theorems |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
7. L p -Spaces and the Radon-Nikodym Theorem |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
8. Conditional Expectations |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineering and computer science. They help us to understand magnetism, amorphous media, genetic diversity and the perils of random developments on the financial markets, and they guide us in constructing more efficient algorithms. This text is a comprehensive course in modern probability theory and its measure-theoretical foundations. Aimed primarily at graduate students and researchers, the book covers a wide variety of topics, many of which are not usually found in introductory textbooks, such as: limit theorems for sums of random variables; martingales; percolation; Markov chains and electrical networks; construction of stochastic processes; Poisson point processes and infinite divisibility; large deviation principles and statistical physics; Brownian motion; and stochastic integral and stochastic differential equations. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Probability |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
"Mixing (mathematics)" |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Probabilidade. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Koha issues (borrowed), all copies |
2 |
