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

Not only does this textbook introduce proof-writing in a wonderfully clear and organized way, the text is also full of wildly amusing footnotes. I've laughed out loud MULTIPLE times while reading this text as a supplement to the very staid text assigned for my Intro to Abstract Mathematics class.This proofs book feels like my friend. Seriously. It's weird. I love it so much. I truly, genuinely look forward to reading each section.If you are a math or CS major, buy this book. It will help mold your intuition. It will make math feel fuzzy and warm and exciting and delightful and fun. It will be a wonderful complement to the (probably) staid and formal textbook you have been assigned for your proofs book.THANK YOU, Professor Cummings!

Solid book for the price. Self-published that's why it's cheap, but content is really good and approachable. Has answers to the problems on their website.

This books it's exactly what I'm looking for: I want/need to do the jump from calculus, Lin-Algebra, PDEs to further topics like Integral Equations. Those are formulated on the more abstract grounds of Hilbert Spaces (i.e infinite dimensional vector spaces), to go there I must (willingly) detour to Real Analysis, which in turns requires mathematical proofs, and that's why I acquired this title, influenced mostly from the video about it, here in AmazonFor me the wining point is the style on which the book is written: introductory, intuitive, chatty: not too terse, not too wordy; telling you what is going on between lines, and where concepts come from and to where they are headingI'm writing this just after reading those first 20 pages, and I'm excited about for what is yet to come!I will be reporting more as I advance. I will definitely purchase the author's other book on Real AnalysisUpgrade after completing Chapter 4I'm working out in detail the text and the problem sets. My opinion of the book hasn't changed. It's a great book.

I am a mid-career engineer with a need to have a better understanding of mathematical proofs for projects in work. I’ve just finished chapter 1. Normally, I prefer my mathematical instruction to come through YouTube as I find most textbooks are good at giving information, but not teaching it. This text is entirely different. The author has kept it engaging and understandable. The information isn’t just presented, but taught and taught well.Hopefully I will update this as I go through the book.

Great book to learn how to write proofs, there are tons of helpful tips! I think this book helped a lot with my proof-based math classes.

I liked this book a lot as a 50 year old learning how to do math proofs. A little easy, but a good primer

I am a Y2 math undergrad and I really enjoyed this book. It provides clear explanations how to write a proof, i.e. the book gives you blue-prints how to approach and deal with proofs and what kind of types of proofs there are.The writing style is conversational and often even entertaining. You also (re-)learn a lot about math methods, conventions and standards, some can appear rather basic - but no one might have ever told you before. The book also helped me to mentally organize many concepts I have learned previously, i.e. things I already knew but could not put into the appropriate context.A few things to keep in mind:- the author self-published the book - our benefit is the fair price (thanks Jay), the downside might be the rather poor paper quality (it's okayish, I have seen worse paper - but any highlighter leaks rights through the pages). The book is printed in black-and-white, i.e. no colors - but this is perfectly fine.- the book has lots of (good) exercises but no solutions. Some hints are published on the accompanying website, but proper solutions would greatly enhance the self-study experience and make this book and ever more valuable study tool.Overall: if you are an undergrad STEM major: buy this book, you won't regret it!