Foundations of Probability (Dover Books on Mathematics)

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9780486462615: Foundations of Probability (Dover Books on Mathematics)

Taking an innovative approach to both content and methods, this book explores the foundations, basic concepts, and fundamental results of probability theory. Geared toward those unfamiliar with probability theory, it offers a firm basis for the study of topics related to the probability of mathematical statistics and to information theory.
The effective construction of probability spaces receives particular attention. Author Alfred Rényi—former Director of the Mathematical Institute of the Hungarian Academy of Sciences and an expert in the fields of probability theory, mathematical statistics, and number theory—considered effective construction of probability spaces particularly important to applying methods and results of probability theory to other branches of mathematics. Professor Rényi discusses basic theorems of probability theory in terms specific to the theorem in question, rather than in the most general form. His rigorous treatment also covers the mathematical notions of experiments and independence, the laws of chance for independent random variables, and the effects of dependence. Two brief appendixes offer helpful background in measure theory and functional analysis.

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About the Author:

Alfred Renyi was Director of the Mathematical Institute of the Hungarian Academy of Sciences.

Alfred Renyi: The Happy Mathematician
Alfred Renyi (1921–1970) was one of the giants of twentieth-century mathematics who, during his relatively short life, made major contributions to combinatorics, graph theory, number theory, and other fields.

Reviewing Probability Theory and Foundations of Probability simultaneously for the Bulletin of the American Mathematical Society in 1973, Alberto R. Galmarino wrote:

"Both books complement each other well and have, as said before, little overlap. They represent nearly opposite approaches to the question of how the theory should be presented to beginners. Rényi excels in both approaches. Probability Theory is an imposing textbook. Foundations is a masterpiece."

In the Author's Own Words:
"If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy."

"Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?" — Alfred Rényi

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Descrizione libro 2007. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486462615

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486462617

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Descrizione libro Dover Publications Inc., United States, 2008. Paperback. Condizione libro: New. Dover.. Language: English . Brand New Book. Taking an innovative approach to both content and methods, this book explores the foundations, basic concepts, and fundamental results of probability theory. Geared toward those unfamiliar with probability theory, it offers a firm basis for the study of topics related to the probability of mathematical statistics and to information theory. The effective construction of probability spaces receives particular attention. Author Alfred Renyi--former Director of the Mathematical Institute of the Hungarian Academy of Sciences and an expert in the fields of probability theory, mathematical statistics, and number theory--considered effective construction of probability spaces particularly important to applying methods and results of probability theory to other branches of mathematics. Professor Renyi discusses basic theorems of probability theory in terms specific to the theorem in question, rather than in the most general form. His rigorous treatment also covers the mathematical notions of experiments and independence, the laws of chance for independent random variables, and the effects of dependence. Two brief appendixes offer helpful background in measure theory and functional analysis. Codice libro della libreria AAC9780486462615

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Descrizione libro Dover Publications Inc., United States, 2008. Paperback. Condizione libro: New. Dover.. Language: English . Brand New Book. Taking an innovative approach to both content and methods, this book explores the foundations, basic concepts, and fundamental results of probability theory. Geared toward those unfamiliar with probability theory, it offers a firm basis for the study of topics related to the probability of mathematical statistics and to information theory. The effective construction of probability spaces receives particular attention. Author Alfred Renyi--former Director of the Mathematical Institute of the Hungarian Academy of Sciences and an expert in the fields of probability theory, mathematical statistics, and number theory--considered effective construction of probability spaces particularly important to applying methods and results of probability theory to other branches of mathematics. Professor Renyi discusses basic theorems of probability theory in terms specific to the theorem in question, rather than in the most general form. His rigorous treatment also covers the mathematical notions of experiments and independence, the laws of chance for independent random variables, and the effects of dependence. Two brief appendixes offer helpful background in measure theory and functional analysis. Codice libro della libreria AAC9780486462615

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Descrizione libro Dover Publications Inc., United States, 2008. Paperback. Condizione libro: New. Dover.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Taking an innovative approach to both content and methods, this book explores the foundations, basic concepts, and fundamental results of probability theory. Geared toward those unfamiliar with probability theory, it offers a firm basis for the study of topics related to the probability of mathematical statistics and to information theory. The effective construction of probability spaces receives particular attention. Author Alfred Renyi--former Director of the Mathematical Institute of the Hungarian Academy of Sciences and an expert in the fields of probability theory, mathematical statistics, and number theory--considered effective construction of probability spaces particularly important to applying methods and results of probability theory to other branches of mathematics. Professor Renyi discusses basic theorems of probability theory in terms specific to the theorem in question, rather than in the most general form. His rigorous treatment also covers the mathematical notions of experiments and independence, the laws of chance for independent random variables, and the effects of dependence. Two brief appendixes offer helpful background in measure theory and functional analysis. Codice libro della libreria BTE9780486462615

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Descrizione libro Dover Publications, 2007. Paperback. Condizione libro: New. book. Codice libro della libreria M0486462617

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Descrizione libro Dover Pubns, 2007. Paperback. Condizione libro: Brand New. f first edition edition. 384 pages. 8.50x5.25x0.75 inches. In Stock. Codice libro della libreria zk0486462617

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Descrizione libro Dover Publications, 2007. Paperback. Condizione libro: New. Never used!. Codice libro della libreria P110486462617

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Descrizione libro 2007. Paperback. Condizione libro: New. Paperback. Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers s.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 366 pages. 0.386. Codice libro della libreria 9780486462615

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