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 proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.
✔ Author(s): Daniel J. Velleman
✔ Title: How to Prove It: A Structured Approach
✔ Rating : 4.7 out of 5 base on (238 reviews)
✔ ISBN-10: 1108439535
✔ ISBN-13: 9781108439534
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle
Readers' opinions about How to Prove It by Daniel J. Velleman
Beata Shepard
The way the author handled complex emotions and relationships was remarkable. I felt deeply connected to the characters, and their growth throughout the story was both inspiring and moving.
Sydney Richardson
The rich historical context of the book added a layer of depth that I found fascinating. It was like stepping back in time and experiencing history firsthand.
Aileen Menzie
This book is a work of art. The language, the imagery, the symbolism - everything came together beautifully to create a memorable reading experience.
