Proofs play a key role in advanced mathematics and theoretical computer science, yet many learners struggle the first time they take a course in which shreds of evidence play a significant role. This bestselling textbook’s 3rd edition helps students transition from solving problems to proving theorems by teaching them the techniques required to read and write proofs. Featuring more than 150 new exercises and a new chapter on number theory, How to Prove It: A Structured Approach, 3rd Edition, (PDF) presents students to the world of advanced mathematics through the mastery of proofs. The ebook begins with the basic concepts of logic and sets theory to acquaint students with the language of mathematics and how it is inferred. These concepts are used as the ground for an analysis of techniques that can be used to build up complicated proofs step by step, using detailed ‘scratch work’ sections to expose the machinery of proofs about numbers, relations, sets, and functions. Assuming no background beyond standard high school mathematics, this ebook will be useful to anyone interested in logic and proofs: computer scientists, linguists, philosophers, and, of course, mathematicians.
NOTE: The product only includes the ebook How to Prove It: A Structured Approach, 3rd Edition, in PDF. No access codes are included.