Articoli correlati a On the Shape of Mathematical Arguments: 445
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This book deals with the presentation and systematic design of mathematical proofs, including correctness proofs of algorithms. Its purpose is to show how completeness of argument, an important constraint especially for the correctness of algorithms, can be combined with brevity. The author stresses that the use of formalism is indispensible for achieving this. A second purpose of the book is to discuss matters of design. Rather than addressing psychological questions, the author deals with more technical questions like how analysis of the shape of the demonstrandum can guide the design of a proof. This technical rather than psychological view of heuristics together with the stress on exploiting formalism effectively are two key features of the book. The book consists of two independently readable parts. One part includes a number of general chapters discussing techniques for clear exposition, the use of formalism, the choice of notations, the choice of what to name and how to name it, and so on. The other part consists of a series of expositional essays, each dealing with a proof or an algorithm and illustrating the use of techniques discussed in the more general chapters.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
A termination argument.- A problem on bichrome 6-graphs.- Proving the existence of the Euler line.- In adherence to symmetry.- On a proof by Arbib, Kfoury, and Moll.- Not about open and closed sets.- A monotonicity argument.- On the inverse of a function.- A calculational proof of Helly's theorem on convex figures.- The formal derivation of a proof of the invariance theorem.- Proving theorems with Euclid's algorithm.- On the deisng of an in-situ permutation algorithm.- Shiloach's algorithm.- Clarity of exposition.- On naming.- On the ue of formalism.- Epilogue.- Proof rules for guarded-command programs.- Notational conventions.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer
- Data di pubblicazione2008
- ISBN 10 3540528490
- ISBN 13 9783540528494
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine196
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On the Shape of Mathematical Arguments (Lecture Notes in Computer Science, 445)
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On the Shape of Mathematical Arguments (Lecture Notes in Computer Science, 445)
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Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:3540528490. Codice articolo 8245812
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On the Shape of Mathematical Arguments (Lecture Notes in Computer Science, 445)
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On the Shape of Mathematical Arguments
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Springer Berlin Heidelberg Jul 1990, 1990
ISBN 10: 3540528490
ISBN 13: 9783540528494
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book deals withthe presentation and systematic design of mathematical proofs, including correctness proofs of algorithms. Its purpose is to show how completeness of argument, an important constraint especially for the correctness of algorithms, can be combined with brevity. The author stresses that the use of formalism is indispensible for achieving this. A second purpose of the book is to discuss matters of design. Rather than addressing psychological questions, the author deals with more technical questions like how analysis of the shape of the demonstrandum can guide the design of a proof. This technical rather than psychological view of heuristics together with the stress on exploiting formalism effectively are two key features of the book. The book consists of two independently readable parts. One part includes a number of general chapters discussing techniques for clear exposition, the use of formalism, the choice of notations, the choice of what to name and how to name it, and so on. The other part consists of a series of expositional essays, each dealing with a proof or an algorithm and illustrating the use of techniques discussed in the more general chapters. 196 pp. Englisch. Codice articolo 9783540528494
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On the Shape of Mathematical Arguments (Lecture Notes in Computer Science)
Da: Chiron Media, Wallingford, Regno Unito
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Paperback. Condizione: New. Codice articolo 6666-IUK-9783540528494
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On the Shape of Mathematical Arguments
Editore:
Springer Berlin Heidelberg, 1990
ISBN 10: 3540528490
ISBN 13: 9783540528494
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Taschenbuch
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book deals withthe presentation and systematic design of mathematical proofs, including correctness proofs of algorithms. Its purpose is to show how completeness of argument, an important constraint especially for the correctness of algorithms, can be combined with brevity. The author stresses that the use of formalism is indispensible for achieving this. A second purpose of the book is to discuss matters of design. Rather than addressing psychological questions, the author deals with more technical questions like how analysis of the shape of the demonstrandum can guide the design of a proof. This technical rather than psychological view of heuristics together with the stress on exploiting formalism effectively are two key features of the book. The book consists of two independently readable parts. One part includes a number of general chapters discussing techniques for clear exposition, the use of formalism, the choice of notations, the choice of what to name and how to name it, and so on. The other part consists of a series of expositional essays, each dealing with a proof or an algorithm and illustrating the use of techniques discussed in the more general chapters. Codice articolo 9783540528494
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On the Shape of Mathematical Arguments
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book deals with the presentation and systematic design of mathematical proofs, including correctness proofs of algorithms. A technical rather than psychological view of heuristics and a stress on exploiting for- malism effectively are two key features. Codice articolo 4892544
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On the Shape of Mathematical Arguments (Lecture Notes in Computer Science, 445)
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paperback. Condizione: New. In shrink wrap. Looks like an interesting title! Codice articolo Q-3540528490
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