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ISBN: 9781439867679
ID: 9781439867679
The Curiosities of a Mathematical Crystal Ball Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo&apos s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner&apos s dilemmaNewcomb&apos s paradox-a great philosophical paradox of free willBenford&apos s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, " a statistical crystal ball." Listen to an interview with the author on NewBooksinMath.com. Unexpected Expectations: Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo&apos s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner&apos s dilemmaNewcomb&apos s paradox-a great philosophical paradox of free willBenford&apos s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, " a statistical crystal ball." Listen to an interview with the author on NewBooksinMath.com., CRC Press
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ISBN: 9781439867679
ID: 9781439867679
The Curiosities of a Mathematical Crystal Ball Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo`s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner`s dilemmaNewcomb`s paradox-a great philosophical paradox of free willBenford`s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "e a statistical crystal ball."e Listen to an interview with the author on NewBooksinMath.com. Unexpected Expectations: Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo`s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner`s dilemmaNewcomb`s paradox-a great philosophical paradox of free willBenford`s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "e a statistical crystal ball."e Listen to an interview with the author on NewBooksinMath.com., Taylor And Francis
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ISBN: 9781439867679
ID: 9781439867679
The Curiosities of a Mathematical Crystal Ball Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo`s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner`s dilemmaNewcomb`s paradox-a great philosophical paradox of free willBenford`s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "e a statistical crystal ball."e Listen to an interview with the author on NewBooksinMath.com. Unexpected Expectations: Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo`s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner`s dilemmaNewcomb`s paradox-a great philosophical paradox of free willBenford`s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "e a statistical crystal ball."e Listen to an interview with the author on NewBooksinMath.com., CRC Press
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ISBN: 9781439867679
ID: 125957143
Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo´s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner´s dilemmaNewcomb´s paradox-a great philosophical paradox of free willBenford´s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "e;a statistical crystal ball."e;Listen to an interview with the author on NewBooksinMath.com. The Curiosities of a Mathematical Crystal Ball eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Technik, CRC Press
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ISBN: 9781439867679
ID: 125957143
Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball explores how paradoxical challenges involving mathematical expectation often necessitate a reexamination of basic premises. The author takes you through mathematical paradoxes associated with seemingly straightforward applications of mathematical expectation and shows how these unexpected contradictions may push you to reconsider the legitimacy of the applications.The book requires only an understanding of basic algebraic operations and includes supplemental mathematical background in chapter appendices. After a history of probability theory, it introduces the basic laws of probability as well as the definition and applications of mathematical expectation/expected value (E). The remainder of the text covers unexpected results related to mathematical expectation, including:The roles of aversion and risk in rational decision makingA class of expected value paradoxes referred to as envelope problemsParrondo´s paradox-how negative (losing) expectations can be combined to give a winning result Problems associated with imperfect recallNon-zero-sum games, such as the game of chicken and the prisoner´s dilemmaNewcomb´s paradox-a great philosophical paradox of free willBenford´s law and its use in computer design and fraud detection While useful in areas as diverse as game theory, quantum mechanics, and forensic science, mathematical expectation generates paradoxes that frequently leave questions unanswered yet reveal interesting surprises. Encouraging you to embrace the mysteries of mathematics, this book helps you appreciate the applications of mathematical expectation, "e;a statistical crystal ball."e;Listen to an interview with the author on NewBooksinMath.com. The Curiosities of a Mathematical Crystal Ball eBook eBooks>Fachbücher>Mathematik, CRC Press
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Titel: | Unexpected Expectations |
ISBN-Nummer: | 9781439867679 |
Detailangaben zum Buch - Unexpected Expectations
EAN (ISBN-13): 9781439867679
Erscheinungsjahr: 2012
Herausgeber: A K Peters/CRC Press
Buch in der Datenbank seit 07.12.2008 13:39:53
Buch zuletzt gefunden am 19.07.2016 01:48:20
ISBN/EAN: 9781439867679
ISBN - alternative Schreibweisen:
978-1-4398-6767-9
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