Articles liés à Practical Foundations of Mathematics
Synopsis
Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.
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Présentation de l'éditeur
Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.
Revue de presse
Review of the hardback: 'This is a fascinating and rewarding book ... each chapter has several pages of subtle, provocative and imaginative exercises. In summary, it is a magnificent compilation of ideas and techniques: it is a mine of (well-organised) information suitable for the graduate student and experienced researcher alike.' Roy Dyckhoff, Bulletin of the London Mathematical Society
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Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Ancien ou d'occasion
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Practical Foundations of Mathematics
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Ancien ou d'occasion
Couverture rigide
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Practical Foundations of Mathematics
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Ancien ou d'occasion
Couverture rigide
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Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
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Practical Foundations of Mathematics
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
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Practical Foundations of Mathematics
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Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
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Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)
Edité par
Cambridge University Press, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
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Practical Foundations of Mathematics
Edité par
Cambridge Univ Pr, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
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Hardcover. Etat : Brand New. 572 pages. 9.50x6.50x1.25 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521631076
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Practical Foundations of Mathematics (Hardcover)
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Cambridge University Press, Cambridge, 1999
ISBN 10 : 0521631076
ISBN 13 : 9780521631075
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. Practical Foundations collects the methods of construction of the objects of twentieth century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work. Practical Foundations of Mathematics explains the basis of mathematical reasoning both in pure mathematics itself (algebra and topology in particular) and in computer science. In addition to the formal logic, this volume examines the relationship between computer languages and "plain English" mathematical proofs. The book introduces the reader to discrete mathematics, reasoning, and categorical logic. It offers a new approach to term algebras, induction and recursion and proves in detail the equivalence of types and categories. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries across universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521631075
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