How to Prove It: A Structured Approach
| Author | : | |
| Rating | : | 4.42 (813 Votes) |
| Asin | : | 0521446635 |
| Format Type | : | paperback |
| Number of Pages | : | 309 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
' 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
The best PROOF book I've ever seen. This is it folks, the best there is!However, it could have been better. I bought the book almost 10 years ago. I am a secondary ed. math teacher and when I left college I was quite upset with myself that I had this fancy math degree and couldn't prove anything. I picked up. A good start on writing proofs, but falls short! I found that this book utilized a little too much set theory for beginning students. If the author could have given more concrete examples, perhaps from group theory or simpler ones from analysis or number theory, it would have been much better. For students wanting a more. "Breakthrough and Original" according to A Customer. I recall it was a few years back when I encountered this little gem at my first analysis class. In fact this book wasn't assigned and instead we used Analysis by Lay. I didn't get essential proof tactics/strategies out of Lay's so I plunged myself into Library and after lo
No background beyond standard high school mathematics is assumed. 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. 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. Numerous exercises give students the opportunity to construct their own proofs. 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. Many mathematics students have trouble the first time they take a course, such as linear algebra, abstract algebra, introductory analysis, or discrete mathematics, in which they are asked to prove various theorems. This book will be useful to anyone interest