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

This isn't a rehash of simple proof techniques but rather more of an exploration -- its value is indeed in the long form. As a former math major, I can see how valuable this would be as a summer project particularly after the first or second year at University.

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.

Excelente llego en tiempo y forma realmente magnífico el servicio

Very useful for learning proofs and the intuition. An essential part of any budding mathematics education.

Jay effectively wields a sincere and conversational approach as he takes on the role of Sherpa to guide the reader on the arduous journey into the rigor and jargon-filled of formal mathematics. There are humorous footnotes, quirky diagrams/pictures, and insightful intuitions - all in an effort to acclimate the reader to a thinkspace where abstractions can crystallize into concepts more easily.He isn't shy about math being a tough and discouraging journey. The moment I knew I fell in love with this book is when I saw that Exercise 1.1 was to read Carol Dweck's "The Secret to Raising Smart Kids" - an insightful article that dispels the myth of people self-sorting into "good at math" and "bad at math". He constantly stresses that the ability to understand math is overwhelmingly a function of diligence, not some innate von Neumann-ian trait. He encourages confronting earnest failure/adversity and understanding that though frustration is discouraging, it is an indicator of progress and development. Jay is contagiously optimistic in guiding the reader through the journey and it cultivates more profound fulfillment when concepts finally "click".He has solutions to chosen (not all) exercises on his website - I can see why people are frustrated at this, because it can feel akin to having no 'supervision' to train your burgeoning 'neural math model', which can spark self-doubts as to whether you're navigating a problem correctly or not. However, for some other people, it's akin to pouring the alcohol down the drain for the alcoholic. I realize I an answer-aholic who often lets my frustration tempt me to look at the solutions to retro-verify whether my thinking was correct (and defeat the definition of an "exercise"), so I don't mind the lack of solutions as much. This just means it forces me frustration threshold to be a lot higher before I neurotically google/search for solutions online (which is my own shortcoming!).This is all to say that this book is an optimistic and humorous guide in approaching the fundamentals of formal math.

El producto llegó bien, y antes del tiempo acordado. Solo presentaba algunos detalles en la pasta, me imagino que en el envío, ya que no estaba bien empacado del todo. Pero en general estuvo bien.

Written in a conversational tone that exudes the joy of mathematics, this is the perfect book for anyone looking to enter into the world of higher math. It gives an excellent and very accessible introduction to all the essential general proof methods (direct proof, contradiction, contrapositive, induction, etc.) And prepares the reader for math at the college level by introducing them to key ideas that are generally applicable.

The fact that I genuinely laugh when reading this book about proofs says it all