Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball

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9781568817217: Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball
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Book by Wapner Leonard M

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"Apart from its general interest, this book contains much material which would be suitable for presentation to students at many levels of achievement. When full details are not included, there are adequate references to the literature, and there is a good balance between mathematics and qualitative description."
―Peter Giblin, The Mathematical Gazette, March 2014

"the book is highly recommended as Leonard Wapner has a great writing style that both comforts and challenges the reader in the world of confusing paradoxes. Most of the content was new to me, yet it was enjoyable and helped ‘un-solidify’ my belief in mathematical expectations. Get the book and read it if you enjoy being puzzled and discovering new things about what you thought you understood!"
―MathNEXUS, March 2014

"Expectation is an extension of the idea of average value, and is a basic tool of probability theory that underlies both the gaming and insurance industries. Unexpected Expectations is a fascinating look at some of the counterintuitive aspects of this apparently simple concept."
―Jim Stein, NewBooksinMath.com, May 2013

"Every reader―unless they are encyclopedic consumers of all things related to mathematical expectation both in technical journals and the popular press―will find illuminating discussions of paradoxical probabilities that are new to them."
―Andrew James Simoson, Mathematical Reviews, January 2013

"... the thrust of the book is to illustrate the myriad of applications of the simple formula for expected value, independent of the mathematical justification that underlies them. At this, Unexpected Expectations is a success. ... an excellent contribution to popular mathematics writing."
―Mark Bollman, MAA Reviews, July 2012

Reseña del editor:

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 making
  • A class of expected value paradoxes referred to as envelope problems
  • Parrondo’s paradox―how negative (losing) expectations can be combined to give a winning result
  • Problems associated with imperfect recall
  • Non-zero-sum games, such as the game of chicken and the prisoner’s dilemma
  • Newcomb’s paradox―a great philosophical paradox of free will
  • Benford’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.

"Sobre este título" puede pertenecer a otra edición de este libro.

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Brand: A K Peters/CRC Press
Publicado por A K Peters/CRC Press
ISBN 10: 1568817215 ISBN 13: 9781568817217
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Leonard M. Wapner
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Descripción Taylor Francis Inc, United States, 2012. Hardback. Condición: New. Language: English . Brand New Book. 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, a statistical crystal ball. Listen to an interview with the author on . Nº de ref. del artículo: AA69781568817217

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Leonard M. Wapner
Publicado por Taylor Francis Inc, United States (2012)
ISBN 10: 1568817215 ISBN 13: 9781568817217
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Descripción Taylor Francis Inc, United States, 2012. Hardback. Condición: New. Language: English . Brand New Book. 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, a statistical crystal ball. Listen to an interview with the author on . Nº de ref. del artículo: AA69781568817217

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Leonard M. Wapner
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Leonard M. Wapner (author)
Publicado por Taylor and Francis 2012-07-13, Boca Raton, FL (2012)
ISBN 10: 1568817215 ISBN 13: 9781568817217
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Descripción Taylor and Francis 2012-07-13, Boca Raton, FL, 2012. hardback. Condición: New. Nº de ref. del artículo: 9781568817217

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Leonard M. Wapner
Publicado por A K Peters/CRC Press (2012)
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Descripción A K Peters/CRC Press, 2012. HRD. Condición: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. del artículo: FT-9781568817217

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WAPNER, LEONARD M.
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Descripción A K Peters/CRC Press, 2012. Hardback. Condición: NEW. 9781568817217 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE0179818

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Leonard M. Wapner
Publicado por A K Peters/CRC Press (2012)
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Leonard M. Wapner
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Descripción Taylor Francis Inc, United States, 2012. Hardback. Condición: New. 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. 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, a statistical crystal ball. Listen to an interview with the author on . Nº de ref. del artículo: BTE9781568817217

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Wapner, Leonard M. (Author)
Publicado por A K Peters Ltd (2012)
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Descripción A K Peters Ltd, 2012. Hardcover. Condición: Brand New. 1st edition. 220 pages. 9.00x6.20x0.90 inches. In Stock. Nº de ref. del artículo: __1568817215

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