Books like Proofs by Jay Cummings


First publish date: 2021
Authors: Jay Cummings
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Proofs by Jay Cummings

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Books similar to Proofs (8 similar books)

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πŸ“˜ Introduction to logic


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πŸ“˜ How to prove it

A clear, step‑by‑step guide for beginners that teaches the language and techniques of mathematical proofs, with exercises and software support.

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Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing proofs, and writing proofs of their own that are not only mathematically correct but clearly written. Written in a student-friendly manner, it provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as optional excursions into fields such as number theory, combinatorics, and calculus. The exercises receive consistent praise from users for their thoughtfulness and creativity. They help students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This book is also an excellent reference for students to use in future courses when writing or reading proofs.

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πŸ“˜ Mathematical reasoning


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πŸ“˜ Proofs from THE BOOK

The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul ErdΓΆs, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added.

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πŸ“˜ Real Analysis


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Some Other Similar Books

Mathematical Proofs: A Transition to Advanced Mathematics by Gary Chartrand
How to Prove It: A Structured Approach by Daniel J. Velleman
Elements of Discrete Mathematics by C.L. Liu
Formal Reasoning: An Introduction by Nuel D. Belnap
Book of Proof by Richard Hammack
A Mathematical Introduction to Logic by Ronald L. Graham, Donald E. Knuth, Oren Patashnik

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