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A carregar... How to Prove It: A Structured Approachpor Daniel J. Velleman
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Adira ao LibraryThing para descobrir se irá gostar deste livro. Ainda não há conversas na Discussão sobre este livro. This book demonstrates proofs and shows the underlying logical machinery behind them. It focuses especially on the language of mathematical logic. This is a good thing since most of the symbols might as well be from an alien language. It is split into seven chapters with two appendices, a section on suggested further reading, a summary of proof techniques mentioned, and an index. The book also mentions Proof Building Software, but I did not check to see if the link still worked or not. sem críticas | adicionar uma crítica
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text 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 familiarize 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 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. 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. Não foram encontradas descrições de bibliotecas. |
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Google Books — A carregar... GénerosSistema Decimal de Melvil (DDC)511.3Natural sciences and mathematics Mathematics General Principles Mathematical (Symbolic) logicClassificação da Biblioteca do Congresso dos EUA (LCC)AvaliaçãoMédia:
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The exercises are great, though they are plenty and can take a considerable amount of time to work through. ( )