Book of Proof 3rd Edition by Richard Hammack ISBN 9472135 9780989472128

Book of Proof 3rd Edition by Richard Hammack  – Ebook PDF Instant Download/Delivery: 0989472135 ,9780989472128 
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Product details:
ISBN 10: 0989472135
ISBN 13: 9780989472128 
Author: Richard Hammack 
A comprehensive introduction to the language and techniques of mathematical proofs, designed for students transitioning from computational mathematics to more abstract thinking. This edition provides clear and structured explanations of foundational topics such as logic, set theory, relations, functions, and induction, all of which are essential for anyone beginning to study advanced mathematics. The book emphasizes the importance of precise language and rigorous reasoning, offering readers a thorough understanding of how to construct and verify mathematical arguments. With numerous exercises and examples, Book of Proof encourages active engagement with the material and aims to equip students with the necessary skills to approach and solve mathematical problems effectively. The 3rd edition updates various sections and includes new content to better guide students through the complexities of mathematical proof-writing, making it an invaluable resource for students in discrete mathematics, abstract algebra, and other higher-level math courses

Book of Proof 3rd Edition Table of contents:

Part I: Fundamentals

1. Sets
2. Logic
3. Counting

Part II: How to Prove Conditional Statements
4. Direct Proof
5. Contrapositive Proof
6. Proof by Contradiction

Part III: More on Proof
7. Proving Non-Conditional Statements
8. Proofs Involving Sets
9. Disproof
10. Mathematical Induction

Part IV: Relations, Functions, and Cardinality
11. Relations
12. Functions
13. Proofs in Calculus
14. Cardinality of Sets

Solutions
Index

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