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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 e-book How to Prove It

🗸 Author(s): Daniel J. Velleman
🗸 Title: How to Prove It: A Structured Approach
🗸 Rating : 4.7 from 5 stars (180 reviews)
🗸 Languange: English
🗸 Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
🗸 Supported Devices: Android, iOS, PC and Amazon Kindle

Readers' opinions about How to Prove It by Daniel J. Velleman

Bently Miller
Delve into the pages of this thought-provoking philosophical treatise, where the author grapples with some of life's most profound questions. From the nature of existence to the meaning of morality, each chapter offers a fresh perspective on the human condition. With its rigorous logic and elegant prose, this book is sure to spark lively debate and introspection.

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This poignant memoir offers a deeply personal account of one woman's journey to overcome adversity and find redemption. From childhood trauma to adult struggles, the author shares her experiences with honesty and vulnerability, offering hope and inspiration to readers facing their own challenges. With its raw emotion and powerful storytelling, this book is a testament to the resilience of the human spirit.

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This captivating science fiction novel transports readers to a distant future where humanity has colonized the stars and forged new alliances among the cosmos. Against the backdrop of interstellar conflict, the story follows a group of intrepid explorers as they journey to the far reaches of space in search of a lost civilization. With its gripping plot twists and richly imagined world-building, this book is a thrilling adventure that will leave readers eagerly anticipating the next installment.