Daniel j velleman how to prove it

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daniel j velleman how to prove it

How to Prove It: A Structured Approach by Daniel J. Velleman

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches 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. To help students 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. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5
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Published 15.04.2019

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Daniel J. Velleman

How to Prove It: A Structured Approach

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches 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. To help students construct their own proofs, this new edition contains over new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed.

Daniel J. Velleman received his BA at Dartmouth College in summa cum laude, the highest distinction in mathematics. Among his awards and distinctions are the Lester R. He has been a member of the editorial board for American Mathematical Monthly since and was Editor of Dolciani Mathematical Expositions from to 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.

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A Structured Approach

MHF 3202 Sets & Logic // 1.1 Deductive Reasoning & Logical Connectives

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