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Mathematics - How to Prove It: A Structured Approach

Description

Book Synopsis: 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.

Details

Are you ready to take your mathematical skills to the next level? Look no further than "How to Prove It: A Structured Approach"! This bestselling book is designed to help students like you transition from simply solving problems to mastering the art of proofs. With over 150 new exercises and a dedicated chapter on number theory, this new edition is the ultimate resource for those seeking a deep understanding of advanced mathematics.

One of the biggest challenges students face when encountering proofs for the first time is understanding the language of mathematics. That's why "How to Prove It" starts by laying a strong foundation in logic and set theory, ensuring you are equipped with the necessary tools to interpret mathematical concepts. From there, the book takes you on a step-by-step journey, providing you with detailed "scratch work" sections that demystify the process of constructing complex proofs.

What sets "How to Prove It" apart from other math textbooks is its accessibility. You don't need any background beyond standard high school mathematics to dive into this book. Whether you are a computer scientist, philosopher, linguist, or a dedicated mathematician, this book is tailor-made to help you develop your logic and proof skills.

Don't miss out on the opportunity to master the art of proofs with "How to Prove It: A Structured Approach"! Get your copy today and unlock the door to advanced mathematics. Click here to purchase now.

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