How to Prove It: A Structured Approach, 3rd Edition

by Kirael

How to Prove A Structured Approach 3rd Edition


Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of 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 an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and computer scientists, philosophers, linguists, and, of course, mathematicians.

Genres: Mathematics, Science

466 pages, Paperback

Published August 25, 2022

Reviews

[W · Rating 5 out of 5]

Absolutely lovely. Takes you from the most basic building blocks of propositional logic all the way to number theory & infinite sets. But more than that, it holds your hand as it teaches you how to think about math in a formal manner.

I wish I had read this before taking any math classes in college. It would have made life much easier…

[Thea · Rating 5 out of 5]

i think i love this book.
It doesn’t matter how much i’ve studied or what, this will always be one of my favourites!