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Discrete Mathematics: An Open Introduction
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This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach.
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- This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning.While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course.It is written to be used in a course for future math teachers.It is open source, with low cost print editions and free electronic editions.Update: as of July 2017, this 2nd edition has been updated, correcting numerous typos and a few mathematical errors. Pagination is almost identical to the earlier printing of the 2nd edition. For a list of changes, see the book's website: http: //discretetext.oscarlevin.com
| Publisher | 12th Media Services |
| Publication date | August 16, 2016 |
| Edition | 2nd ed. |
| Language | English |
| Print length | 246 pages |
| ISBN-10 | 168092186X |
| ISBN-13 | 978-1680921861 |
| Item Weight | 1.28 pounds (580 grams) |
| Dimensions | 8.5 x 0.52 x 11 inches (21.6 x 1.3 x 27.9 cm) |
Who Should Buy?
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Undergraduate Students
Ideal for college students seeking a comprehensive introduction to discrete mathematics concepts and techniques.
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Self-learners
Great for individuals studying on their own, as it offers clear explanations and numerous examples.
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Educators
Useful for teachers looking for a supplemental resource to enhance their curriculum in discrete mathematics.
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Advanced Mathematicians
Not suitable for those seeking advanced topics, as it focuses on an introductory level of discrete mathematics.
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Features & Benefits
- Designed for first and second year math majors, particularly future teachers.
- Covers essential topics: counting, sequences, logic, and graph theory.
- Includes over 360 exercises, with 230 solutions for enhanced learning.
- Supports active, inquiry-based learning with 'Investigate!' activities.
- Open source with low-cost print editions and free electronic access.
- Updated 2nd edition captures corrections to typos and mathematical errors.
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