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Sinopsis
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This textbook will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarise students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratchwork' sections to expose the machinery of proofs about the natural numbers, relations, functions and infinite sets. Numerous exercises give students the opportunity to construct their own proofs. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
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Críticas
'... we can warmly advise this excellent book for those who need to get acquainted with or must teach course on formalism and proof techniques.' Acta Scientiarum Mathematicarum
Reseña del editor
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This textbook will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarise students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratchwork' sections to expose the machinery of proofs about the natural numbers, relations, functions and infinite sets. Numerous exercises give students the opportunity to construct their own proofs. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
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How to Prove It: A Structured Approach
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Cambridge University Press, 1994
ISBN 10: 0521446635
ISBN 13: 9780521446631
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How to Prove It: A Structured Approach
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How to Prove It: A Structured Approach
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Paperback. Condición: Very Good. How to Prove It: A Structured Approach This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Nº de ref. del artículo: 7719-9780521446631
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How to Prove It: A Structured Approach
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Cambridge University Press, 1994
ISBN 10: 0521446635
ISBN 13: 9780521446631
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How to Prove It: A Structured Approach
Publicado por
Cambridge University Press, 1994
ISBN 10: 0521446635
ISBN 13: 9780521446631
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How to Prove It: A Structured Approach
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ISBN 13: 9780521446631
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How to Prove It: A Structured Approach
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Cambridge University Press, 1994
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ISBN 13: 9780521446631
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How to Prove It: A Structured Approach
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How to Prove It: A Structured Approach
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ISBN 13: 9780521446631
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How to Prove It: A Structured Approach
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Cambridge University Press, 1994
ISBN 10: 0521446635
ISBN 13: 9780521446631
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