Probability and Information: An Integrated Approach
Autor David Applebaumen Limba Engleză Paperback – 13 aug 2008
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Specificații
ISBN-13: 9780521727884
ISBN-10: 052172788X
Pagini: 290
Ilustrații: 65 b/w illus. 3 tables 240 exercises
Dimensiuni: 174 x 247 x 14 mm
Greutate: 0.59 kg
Ediția:2
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 052172788X
Pagini: 290
Ilustrații: 65 b/w illus. 3 tables 240 exercises
Dimensiuni: 174 x 247 x 14 mm
Greutate: 0.59 kg
Ediția:2
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
Preface to the first edition; Preface to the second 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 (-½x²); Appendix 4. Table of probabilities associated with the standard normal distribution; Appendix 5. A rapid review of Matrix algebra; Selected solutions; Index.
Recenzii
Reviews for the first edition: 'I found the book interesting and entertaining … The level of difficulty of the material is well judged …' D. A. Stephens, The Statistician
'This text provides a blend of the traditional disciplines of probability theory and the relatively new field of information science in a well written manner … the author succeeds in introducing concepts of probability theory gently paced and user friendly as stated on page xi of the preface … The blend of probability theory and information science makes this an innovative text... The innovative blend of probability theory and information theory make this text a good choice for teachers wanting to present both a traditional background and modern ideas to their students.' Journal of the American Statistical Association
'Reviewing this book was a pleasure. Clearly the author is delighted by his subject and this attitude is communicated well … this is an excellent book which will make a stimulating text for Honours courses in probability for applied mathematicians, statisticians, physicists or engineers' John M. Halley, The Statistician
'… a nice introductory text for a modern course on basic facts in the theory of probability and information. The author always has in mind that many students, especially those specializing in informatics and/or technical sciences, do not often have a firm background in traditional mathematics. Therefore he attempts to keep the development of material gently paced and user-friendly.' EMS Newsletter
'This text provides a blend of the traditional disciplines of probability theory and the relatively new field of information science in a well written manner … the author succeeds in introducing concepts of probability theory gently paced and user friendly as stated on page xi of the preface … The blend of probability theory and information science makes this an innovative text... The innovative blend of probability theory and information theory make this text a good choice for teachers wanting to present both a traditional background and modern ideas to their students.' Journal of the American Statistical Association
'Reviewing this book was a pleasure. Clearly the author is delighted by his subject and this attitude is communicated well … this is an excellent book which will make a stimulating text for Honours courses in probability for applied mathematicians, statisticians, physicists or engineers' John M. Halley, The Statistician
'… a nice introductory text for a modern course on basic facts in the theory of probability and information. The author always has in mind that many students, especially those specializing in informatics and/or technical sciences, do not often have a firm background in traditional mathematics. Therefore he attempts to keep the development of material gently paced and user-friendly.' EMS Newsletter
Descriere
An update of this popular introduction to probability theory and information theory with new material on Markov chains.