发表于2024-11-21
How to Prove It 2024 pdf epub mobi 电子书
图书标签: 数学 思维 Mathematics 数理逻辑 数学证明 逻辑学 方法论 证明论
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.
还在豆瓣时读了一半的书,最近终于捡起来读完。最后一章关于 infinity 的一些定理证明还是看不太懂,过段时间再读一遍好了。书后面有答案,不过我答的题不是很多,毕竟每道题都写的话,早晨一下子就用光了,唉 ……
评分Don't let others' comments fool you. This is a must read for advanced high school kids.
评分Really helpful
评分差点挂掉…
评分差点挂掉…
How to Prove It 2024 pdf epub mobi 电子书