Probability and information :: an integrated approach /
This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©2008.
|
| Ausgabe: | 2nd ed. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors. |
| Beschreibung: | 1 online resource (xvi, 273 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511650031 0511650035 9780511413308 0511413300 0521899044 9780521899048 052172788X 9780521727884 9780511414244 0511414242 9780511755262 0511755260 1107188105 9781107188105 |
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| 250 | |a 2nd ed. | ||
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| 520 | |a This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors. | ||
| 505 | 0 | |a Cover; Half-title; Title; Copyright; Contents; Preface to the second edition; Preface to the first edition; 1 Introduction; 2 Combinatorics; 3 Sets and measures; 4 Probability; 5 Discrete random variables; 6 Information and entropy; 7 Communication; 8 Random variables with probability density functions; 9 Random vectors; 10 Markov chains and their entropy; Exploring further; Appendix 1: Proof by mathematical induction; Appendix 2: Lagrange multipliers; Appendix 3: Integration of exp -12x2; Appendix 4: Table of probabilities associated with the standardnormal distribution. | |
| 505 | 8 | |a Appendix 5: A rapid review of matrix algebraSelected solutions; Index. | |
| 546 | |a English. | ||
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| 650 | 0 | |a Information theory. |0 http://id.loc.gov/authorities/subjects/sh85066289 | |
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| 650 | 6 | |a Théorie de l'information. | |
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| author | Applebaum, David, 1956- |
| author_GND | http://id.loc.gov/authorities/names/n95108612 |
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| contents | Cover; Half-title; Title; Copyright; Contents; Preface to the second edition; Preface to the first edition; 1 Introduction; 2 Combinatorics; 3 Sets and measures; 4 Probability; 5 Discrete random variables; 6 Information and entropy; 7 Communication; 8 Random variables with probability density functions; 9 Random vectors; 10 Markov chains and their entropy; Exploring further; Appendix 1: Proof by mathematical induction; Appendix 2: Lagrange multipliers; Appendix 3: Integration of exp -12x2; Appendix 4: Table of probabilities associated with the standardnormal distribution. Appendix 5: A rapid review of matrix algebraSelected solutions; Index. |
| ctrlnum | (OCoLC)607563673 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd ed. |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn607563673 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:07Z |
| institution | BVB |
| isbn | 9780511650031 0511650035 9780511413308 0511413300 0521899044 9780521899048 052172788X 9780521727884 9780511414244 0511414242 9780511755262 0511755260 1107188105 9781107188105 |
| language | English |
| lccn | 2008279233 |
| oclc_num | 607563673 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvi, 273 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Applebaum, David, 1956- https://id.oclc.org/worldcat/entity/E39PBJy8y3QGCbgDCrfbc6hmBP http://id.loc.gov/authorities/names/n95108612 Probability and information : an integrated approach / David Applebaum. 2nd ed. Cambridge ; New York : Cambridge University Press, ©2008. 1 online resource (xvi, 273 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes bibliographical references and index. Print version record. This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors. Cover; Half-title; Title; Copyright; Contents; Preface to the second edition; Preface to the first edition; 1 Introduction; 2 Combinatorics; 3 Sets and measures; 4 Probability; 5 Discrete random variables; 6 Information and entropy; 7 Communication; 8 Random variables with probability density functions; 9 Random vectors; 10 Markov chains and their entropy; Exploring further; Appendix 1: Proof by mathematical induction; Appendix 2: Lagrange multipliers; Appendix 3: Integration of exp -12x2; Appendix 4: Table of probabilities associated with the standardnormal distribution. Appendix 5: A rapid review of matrix algebraSelected solutions; Index. English. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Information theory. http://id.loc.gov/authorities/subjects/sh85066289 Probabilités. Théorie de l'information. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Information theory fast Probabilities fast Electronic book. Electronic books. Applebaum, David, 1956- Probability and information. 2nd ed. Cambridge ; New York : Cambridge University Press, ©2008 9780521899048 (DLC) 2008279233 (OCoLC)222156525 Print version: Applebaum, David, 1956- Probability and information. 2nd ed. Cambridge ; Cambridge University Press, ©2008 9780521899048 (DLC) 2008279233 (OCoLC)222156525 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=304662 Volltext |
| spellingShingle | Applebaum, David, 1956- Probability and information : an integrated approach / Cover; Half-title; Title; Copyright; Contents; Preface to the second edition; Preface to the first edition; 1 Introduction; 2 Combinatorics; 3 Sets and measures; 4 Probability; 5 Discrete random variables; 6 Information and entropy; 7 Communication; 8 Random variables with probability density functions; 9 Random vectors; 10 Markov chains and their entropy; Exploring further; Appendix 1: Proof by mathematical induction; Appendix 2: Lagrange multipliers; Appendix 3: Integration of exp -12x2; Appendix 4: Table of probabilities associated with the standardnormal distribution. Appendix 5: A rapid review of matrix algebraSelected solutions; Index. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Information theory. http://id.loc.gov/authorities/subjects/sh85066289 Probabilités. Théorie de l'information. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Information theory fast Probabilities fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85107090 http://id.loc.gov/authorities/subjects/sh85066289 |
| title | Probability and information : an integrated approach / |
| title_auth | Probability and information : an integrated approach / |
| title_exact_search | Probability and information : an integrated approach / |
| title_full | Probability and information : an integrated approach / David Applebaum. |
| title_fullStr | Probability and information : an integrated approach / David Applebaum. |
| title_full_unstemmed | Probability and information : an integrated approach / David Applebaum. |
| title_short | Probability and information : |
| title_sort | probability and information an integrated approach |
| title_sub | an integrated approach / |
| topic | Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Information theory. http://id.loc.gov/authorities/subjects/sh85066289 Probabilités. Théorie de l'information. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Information theory fast Probabilities fast |
| topic_facet | Probabilities. Information theory. Probabilités. Théorie de l'information. probability. MATHEMATICS Probability & Statistics General. Information theory Probabilities Electronic book. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=304662 |
| work_keys_str_mv | AT applebaumdavid probabilityandinformationanintegratedapproach |