Proofs: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)

The book is good, but I guess we are getting a trimmed down edition in India. The product description itself is not upto the mark. It says its width is 2.95 cm, but what I got is approx. 1.5 cm. The author's webpage and amazon.com says that the print length is 511 pages, but we get only 312 pages. No Appendices, Indexes, Preface, acknowledgement in Indian edition. The back cover says that we cover addtional topics like Ramsey theory, Real Analysis..... but these are not available in Indian edition. So, be careful. The pages quality is quite good, but binding is not proper. Pages will come out if not handled carefully. Enjoy!

This version of the book is shortened with things taken out of the original. It is noticeably considerably smaller than the original

The ‘Introduction To’ sections of the book were my favourite and I loved the inclusion of open problems as it builds a curiosity towards mathematics.

Very good Math book

Amazing book to start proofs!

Libro eccezionale che non richiede una conoscenza approfondita per poter essere compreso. Le spiegazioni sono molto chiare e le dimostrazioni piacevoli e divertenti da svolgere. L'approccio è molto informale ed aiuta a mantenere alto il livello di attenzione durante lo studio. Consigliatissimo!

I just finished reading another wonderful book by Jay Cummings. The book is titled "Proofs" and is intended to help the reader learn how to write diverse kinds of proofs from many different areas of mathematics. I especially liked Chapter 4 on Induction because the writing is very clear and to the point. He discusses both weak and strong induction and his examples are extremely well chosen. I especially like his writing style. He also writes about math proofs by induction that contain mistakes that can mislead the reader. His example of how all people have the same name is the same as a similar example not in his book that all horses have the same color. Trying to find the mistakes in these proofs can be a real challenge, but once you do it you will understand math induction even better than you did before. This book has a rather ambitious aim, as proof writing is all anyone does in upper division math courses. Trying to learn how to write proofs in such a wide open field is not easy. However, the author does not try to teach you any advanced math and that is another reason I am so attracted to his writing style. Here is another small but important example. In discussing functions, Jay explains that writing f(x) is standard for a 1-tuple, but writing f((x,y)) with an order pair is not necessary. This a small notational convention that can trip up some students. Jay gives you permission to be confused at times and is aware that even very small things can make your life complicated! Jay has written three books that are all very different. I recently learned that I read his three books in the reverse time order in which he wrote them. Nonetheless, I think most people will find his books very worth while. The "Proofs" book is as good as any and contains a lot of information.