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On the Shape of Mathematical Arguments
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On the Shape of Mathematical Arguments - novo libro

ISBN: 9783540528494

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 imp… mais…

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On the Shape of Mathematical Arguments - Antonetta J.M. van Gasteren
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Antonetta J.M. van Gasteren:

On the Shape of Mathematical Arguments - Livro de bolso

ISBN: 9783540528494

*On the Shape of Mathematical Arguments* - Auflage 1990 / Taschenbuch für 53.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Natu… mais…

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Antonetta J.M. van Gasteren:
On the Shape of Mathematical Arguments 445 Lecture Notes in Computer Science - Livro de bolso

1990

ISBN: 3540528490

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Gasteren, Antonetta J.M. van:
On the Shape of Mathematical Arguments (Lecture Notes in Computer Science (445)) - Livro de bolso

1990, ISBN: 3540528490

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Antonetta J.M. van Gasteren:
On the Shape of Mathematical Arguments - novo libro

ISBN: 9783540528494

Springer , pp. 200 . Papeback. New., Springer, 6

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On the Shape of Mathematical Arguments
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9783540528494


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.

Dados detalhados do livro - On the Shape of Mathematical Arguments


EAN (ISBN-13): 9783540528494
ISBN (ISBN-10): 3540528490
Livro de bolso
Ano de publicação: 1990
Editor/Editora: Springer Berlin Heidelberg
196 Páginas
Peso: 0,304 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-05-28T19:39:21+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-09-29T18:50:44+01:00 (Lisbon)
Número ISBN/EAN: 9783540528494

Número ISBN - Ortografia alternativa:
3-540-52849-0, 978-3-540-52849-4
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: edsger dijkstra, dijkstra antonetta, gaster, van gasteren
Título do livro: mathematical, shape, handbook experimental pharmacology, just the arguments, lecture notes computer science

Dados da editora

Autor: Antonetta J.M. van Gasteren
Título: Lecture Notes in Computer Science; On the Shape of Mathematical Arguments
Editora: Springer; Springer Berlin
184 Páginas
Ano de publicação: 1990-07-24
Berlin; Heidelberg; DE
Língua: Inglês
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XII, 184 p.

BC; Hardcover, Softcover / Informatik, EDV/Informatik; Software Engineering; Verstehen; Algorithmenentwurf; Lösen von Aufgaben; algorithm; algorithm design; algorithms; formalization; mathematical methodology; mathematische Methodik; problem solving; proof theory; Software Engineering; Logic; Computer Science Logic and Foundations of Programming; Philosophie: Logik; Theoretische Informatik; EA

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.

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9783540471660 On the Shape of Mathematical Arguments (Antonetta J.M. van Gasteren; Edsger W. Dijkstra)

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