An Introduction To The Theory Of Surreal Numbers

Author: Harry Gonshor
Editor: Cambridge University Press
ISBN: 0521312051
Size: 16,89 MB
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These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.

Ordered Algebraic Structures And Related Topics

Author: Fabrizio Broglia
Editor: American Mathematical Soc.
ISBN: 1470429667
Size: 17,13 MB
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This volume contains the proceedings of the international conference ""Ordered Algebraic Structures and Related Topics'', held from October 12-16, 2015, at CIRM, Luminy, Marseilles, France. Papers contained in this volume cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.

Pursuit Of The Universal

Author: Arnold Beckmann
Editor: Springer
ISBN: 3319401890
Size: 15,99 MB
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This book constitutes the refereed proceedings of the 12th Conference on Computability in Europe, CiE 2016, held in Paris, France, in June/July 2016. The 18 revised full papers and 19 invited papers and invited extended abstracts were carefully reviewed and selected from 40 submissions. The conference CiE 2016 has six special sessions – two sessions, cryptography and information theory and symbolic dynamics, are organized for the first time in the conference series. In addition to this new developments in areas frequently covered in the CiE conference series were addressed in the following sessions: computable and constructive analysis; computation in biological systems; history and philosophy of computing; weak arithmetic.

The Colossal Book Of Mathematics

Author: Martin Gardner
Editor: W. W. Norton & Company
ISBN: 9780393020236
Size: 10,83 MB
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The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.

Number And Numbers

Author: Alain Badiou
Editor: John Wiley & Sons
ISBN: 1509534067
Size: 17,32 MB
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The political regime of global capitalism reduces the world to an endless network of numbers within numbers, but how many of us really understand what numbers are? Without such an understanding, how can we challenge the regime of number? In Number and Numbers Alain Badiou offers an philosophically penetrating account with a powerful political subtext of the attempts that have been made over the last century to define the special status of number. Badiou argues that number cannot be defined by the multiform calculative uses to which numbers are put, nor is it exhausted by the various species described by number theory. Drawing on the mathematical theory of surreal numbers, he develops a unified theory of Number as a particular form of being, an infinite expanse to which our access remains limited. This understanding of Number as being harbours important philosophical truths about the structure of the world in which we live. In Badiou's view, only by rigorously thinking through Number can philosophy offer us some hope of breaking through the dense and apparently impenetrable capitalist fabric of numerical relations. For this will finally allow us to point to that which cannot be numbered: the possibility of an event that would deliver us from our unthinking subordination of number.

London Mathematical Society Lecture Note Series

Author: E. Tournier
Size: 14,83 MB
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London Mathematical Society Lecture Note Series

Author: Manfred Stoll
Size: 18,67 MB
Format: PDF
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Lectures On Block Theory

Author: Burkhard Külshammer
Editor: Cambridge University Press
ISBN: 9780521405652
Size: 12,59 MB
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This textbook is intended as a self contained introduction into that part of algebra known as representation of finite groups.