| Hardcover ISBN: | 978-1-4704-4696-3 |
| Product Code: | TEXT/41 |
| List Price: | $75.00 |
| MAA Member Price: | $56.25 |
| AMS Member Price: | $56.25 |
| eBook ISBN: | 978-1-4704-4912-4 |
| Product Code: | TEXT/41.E |
| List Price: | $69.00 |
| MAA Member Price: | $51.75 |
| AMS Member Price: | $51.75 |
| Hardcover ISBN: | 978-1-4704-4696-3 |
| eBook: ISBN: | 978-1-4704-4912-4 |
| Product Code: | TEXT/41.B |
| List Price: | $144.00 $109.50 |
| MAA Member Price: | $108.00 $82.13 |
| AMS Member Price: | $108.00 $82.13 |
| Hardcover ISBN: | 978-1-4704-4696-3 |
| Product Code: | TEXT/41 |
| List Price: | $75.00 |
| MAA Member Price: | $56.25 |
| AMS Member Price: | $56.25 |
| eBook ISBN: | 978-1-4704-4912-4 |
| Product Code: | TEXT/41.E |
| List Price: | $69.00 |
| MAA Member Price: | $51.75 |
| AMS Member Price: | $51.75 |
| Hardcover ISBN: | 978-1-4704-4696-3 |
| eBook ISBN: | 978-1-4704-4912-4 |
| Product Code: | TEXT/41.B |
| List Price: | $144.00 $109.50 |
| MAA Member Price: | $108.00 $82.13 |
| AMS Member Price: | $108.00 $82.13 |
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Book DetailsAMS/MAA TextbooksVolume: 41; 2018; 388 ppMSC: Primary 97
Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines.
The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective.
Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.
Ancillaries:
ReadershipUndergraduate students interested in discrete mathematics and computer science.
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Table of Contents
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Chapters
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Chapter 1. Convince me!
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Chapter 2. Mini-theories
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Chapter 3. Logic and sets
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Chapter 4. Logic and proof
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Chapter 5. Relations and functions
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Chapter 6. Induction
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Chapter 7. Number theory
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Chapter 8. Counting
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Chapter 9. Graph theory
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Chapter 10. Invariants and monovariants
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Chapter 11. Topics in counting
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Chapter 12. Topics in number theory
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Chapter 13. Topics in graph theory
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Hints
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Additional Material
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseInstructor's Solutions Manual – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines.
The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective.
Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.
Ancillaries:
Undergraduate students interested in discrete mathematics and computer science.
-
Chapters
-
Chapter 1. Convince me!
-
Chapter 2. Mini-theories
-
Chapter 3. Logic and sets
-
Chapter 4. Logic and proof
-
Chapter 5. Relations and functions
-
Chapter 6. Induction
-
Chapter 7. Number theory
-
Chapter 8. Counting
-
Chapter 9. Graph theory
-
Chapter 10. Invariants and monovariants
-
Chapter 11. Topics in counting
-
Chapter 12. Topics in number theory
-
Chapter 13. Topics in graph theory
-
Hints
