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This introductory treatment of theory, proof techniques, and related concepts is designed for undergraduate courses. Topics include propositional logic, quantifiers, sets, functions, relations, mathematical induction, and combinatorics. The emphasis throughout is on proof and learning how to write mathematical proofs, and the book includes many proof exercises. No knowledge of calculus is assumed, making it a useful text for students at many levels. 2005 edition.
Write Your Own Proofs in Set Theory and Discrete Mathematics
by Babich, Amy; Person, LauraFormat: Paperback
Pub. Date: 2019-08-14
Publisher(s): Dover Publications
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Summary
Author Biography
Novelist and mathematician Amy Babich resides in Austin, Texas.
Laura Person is a Professor of Mathematics at SUNY Potsdam, a liberal arts university in northern New York.
Laura Person is a Professor of Mathematics at SUNY Potsdam, a liberal arts university in northern New York.
Table of Contents
Foreword A--This Book and How to Use It.
Foreword B--Words and Numbers: Mathematics, Writing, and the Two Cultures
Foreword C--Mathematical Proof as a Form of Writing
Foreword D--Amazing Secrets of Professional Mathematicians Revealed!
1. Basic Logic
2. Proving Theorems About Sets
3. Cartesian Products and Relations
4. Functions
5. Induction, Power Sets, and Cardinality
6. Introduction to Combinatorics
7. Derangements and Other Entertainments
Afterword A--A Few Words on the History of Set Theory
Afterword B--A Little Bit About Limits
Afterword C--Why No Answers in the Back of this Book
Afterword D--What Next? Concise Synopses of Selected College Mathematics Courses
Dr. Spencer's Mantra for the Relief of Anxiety that Accompanies Attempts to Create and Write Proofs
Bibliography
Index
List of Symbols
Foreword B--Words and Numbers: Mathematics, Writing, and the Two Cultures
Foreword C--Mathematical Proof as a Form of Writing
Foreword D--Amazing Secrets of Professional Mathematicians Revealed!
1. Basic Logic
2. Proving Theorems About Sets
3. Cartesian Products and Relations
4. Functions
5. Induction, Power Sets, and Cardinality
6. Introduction to Combinatorics
7. Derangements and Other Entertainments
Afterword A--A Few Words on the History of Set Theory
Afterword B--A Little Bit About Limits
Afterword C--Why No Answers in the Back of this Book
Afterword D--What Next? Concise Synopses of Selected College Mathematics Courses
Dr. Spencer's Mantra for the Relief of Anxiety that Accompanies Attempts to Create and Write Proofs
Bibliography
Index
List of Symbols
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