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.
發表於2024-11-07
How to Prove It 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 思維 Mathematics 數理邏輯 數學證明 邏輯學 方法論 證明論
Really helpful
評分差點掛掉…
評分坑爹的殺手。。。
評分學過Rosen的離散數學這本書就沒必要瞭
評分數理邏輯入門
How to Prove It 2024 pdf epub mobi 電子書 下載