God Created The Integers

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God Created The Integers

God Created The Integers

  • Author: Stephen Hawking
  • Publisher: Taylor & Francis US
  • ISBN: 9780762419227
  • Category: Mathematics
  • Page: 1160
  • View: 4126
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Looks at landmark mathematical discoveries over the past 2500 years by such mathematicians as Euclid, Isaac Newton, Pierre Simon de Laplace, Gerog Cantor, and Alan Turing.

Integers and Theory of Numbers

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Integers and Theory of Numbers

Integers and Theory of Numbers

  • Author: Abraham Adolf Fraenkel
  • Publisher: Courier Corporation
  • ISBN: 9780486495880
  • Category: Mathematics
  • Page: 102
  • View: 9958
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A concise work on important topics in number theory, this classic text was devised by a prominent mathematician to explain the essentials of mathematics in a manner accessible to high school and college students as well as to other readers. Clear-cut explanations cover natural numbers as cardinals, with discussions of positional notation and the ordering of numbers according to magnitude; natural numbers as ordinals, including Peano's axioms and the relation of ordinals to cardinals; the theory of numbers, encompassing prime numbers and their distribution, partitions of the circle, Fermat's simple and last theorems, perfect numbers, amicable numbers, and algebraic and ideal numbers; and rational numbers, with considerations of positive fractions, negative integers, and the field of rationals. 1955 ed.

Is God a Mathematician?

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Is God a Mathematician?

Is God a Mathematician?

  • Author: Mario Livio
  • Publisher: Simon and Schuster
  • ISBN: 1416594434
  • Category: Mathematics
  • Page: 320
  • View: 7496
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Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Algebra

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Algebra

Algebra

With Arithmetic and Mensuration

  • Author: Brahmagupta
  • Publisher: N.A
  • ISBN: N.A
  • Category: Algebra
  • Page: 378
  • View: 1165
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Groups, Rings and Fields

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Groups, Rings and Fields

Groups, Rings and Fields

  • Author: David A.R. Wallace
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540761778
  • Category: Mathematics
  • Page: 248
  • View: 9717
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This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.

Stephen Hawking: An Unfettered Mind

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Stephen Hawking: An Unfettered Mind

Stephen Hawking: An Unfettered Mind

  • Author: Kitty Ferguson
  • Publisher: St. Martin's Press
  • ISBN: 1137000228
  • Category: Biography & Autobiography
  • Page: 368
  • View: 459
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Kitty Ferguson, the award-winning and international bestselling author of Stephen Hawking’s biography, presents an even deeper portrait of the legendary physicist’s life and scientific theories. This updated edition of Stephen Hawking: An Unfettered Mind looks at one of the most remarkable figures of our age: the bestselling author of A Brief History of Time, celebrated theoretical physicist, and an inspiration to millions around the world. Ferguson offers fresh insights into the way Hawking thinks and works, his ever-more-imaginative adventures in science at the “flaming ramparts of the world,” the discovery of gravity waves, the blockbuster proposal for “Starshot” to explore the cosmos, and his powerful use of his celebrity on behalf of human rights and survival on earth and beyond. With rare access to Hawking, including childhood photos and in-depth research, Ferguson creates a rich and comprehensive picture of his life: his childhood; the heartbreaking ALS diagnosis when he was a first-year graduate student; his long personal battle for survival in pursuit of a scientific understanding of the universe; and his rise to international fame. She also uses her gift for translating the language of theoretical physics into the language of the rest of us to make Hawking’s scientific work accessible. This is an insightful, absorbing, and definitive account of a brilliant mind and the extraordinary life of a man who always looks towards tomorrow.

Origins and Foundations of Computing

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Origins and Foundations of Computing

Origins and Foundations of Computing

In Cooperation with Heinz Nixdorf MuseumsForum

  • Author: Friedrich L. Bauer
  • Publisher: Springer Science & Business Media
  • ISBN: 9783642029929
  • Category: Computers
  • Page: 142
  • View: 5999
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The Heinz Nixdorf Museum Forum (HNF) is the world’s largest c- puter museum and is dedicated to portraying the past, present and future of information technology. In the “Year of Informatics 2006” the HNF was particularly keen to examine the history of this still quite young discipline. The short-lived nature of information technologies means that individuals, inventions, devices, institutes and companies“age” more rapidly than in many other specialties. And in the nature of things the group of computer pioneers from the early days is growing smaller all the time. To supplement a planned new exhibit on “Software and Inform- ics” at the HNF, the idea arose of recording the history of informatics in an accompanying publication. Mysearchforsuitablesourcesandauthorsveryquickly cameupwith the right answer, the very rst name in Germany: Friedrich L. Bauer, Professor Emeritus of Mathematics at the TU in Munich, one of the - thers of informatics in Germany and for decades the indefatigable author of the“Historical Notes” column of the journal Informatik Spektrum. Friedrich L. Bauer was already the author of two works on the history of informatics, published in different decades and in different books. Both of them are notable for their knowledgeable, extremely comp- hensive and yet compact style. My obvious course was to motivate this author to amalgamate, supplement and illustrate his previous work.

Foundations of Mathematical Economics

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Foundations of Mathematical Economics

Foundations of Mathematical Economics

  • Author: Michael Carter
  • Publisher: MIT Press
  • ISBN: 9780262531924
  • Category: Business & Economics
  • Page: 649
  • View: 3362
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An economics-focused introduction to the mathematical foundations of the field.

Mathematics Matters Secondary 1 Express Textbook

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Mathematics Matters Secondary 1 Express Textbook

Mathematics Matters Secondary 1 Express Textbook

  • Author: N.A
  • Publisher: Panpac Education Pte Ltd
  • ISBN: 9789812738820
  • Category:
  • Page: N.A
  • View: 3293
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Testlet Response Theory and Its Applications

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Testlet Response Theory and Its Applications

Testlet Response Theory and Its Applications

  • Author: Howard Wainer,Eric T. Bradlow,Xiaohui Wang
  • Publisher: Cambridge University Press
  • ISBN: 1139462679
  • Category: Social Science
  • Page: N.A
  • View: 5808
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The measurement models employed to score tests have been evolving over the past century from those that focus on the entire test (true score theory) to models that focus on individual test items (item response theory) to models that use small groups of items (testlets) as the fungible unit from which tests are constructed and scored (testlet response theory, or TRT). In this book, the inventors of TRT trace the history of this evolution and explain the character of modern TRT. Written for researchers and professionals in statistics, psychometrics, and educational psychology, the first part offers an accessible introduction to TRT and its applications. The second part presents a comprehensive, self-contained discussion of the model couched within a fully Bayesian framework. Its parameters are estimated using Markov chain Monte Carlo procedures, and the resulting posterior distributions of the parameter estimates yield insights into score stability that were previously unsuspected.