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Discrete Mathematics: An Open Introduction Paperback – 31 December 2018

by Oscar Levin (Author)
4.5 4.5 out of 5 stars 137 ratings
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Note: This is the 3rd edition. If you need the 2nd edition for a course you are taking, it can be found as a "other format" on amazon, or by searching its isbn: 1534970746

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 470 exercises, including 275 with solutions and over 100 with hints. 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.
This third edition brings improved exposition, a new section on trees, and a bunch of new and improved exercises. For a complete list of changes, and to view the free electronic version of the text, visit the book's website at discrete.openmathbooks.org

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  1. ISBN-10
    1792901690
  2. ISBN-13
    978-1792901690
  3. Publication date
    31 December 2018
  4. Language
    English
  5. Dimensions
    17.78 x 2.36 x 25.4 cm
  6. Print length
    409 pages
  7. See all details
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Product details

  • Publisher ‏ : ‎ Independently published (31 December 2018)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 409 pages
  • ISBN-10 ‏ : ‎ 1792901690
  • ISBN-13 ‏ : ‎ 978-1792901690
  • Dimensions ‏ : ‎ 17.78 x 2.36 x 25.4 cm
  • Customer Reviews:
    4.5 4.5 out of 5 stars 137 ratings

About the author

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Oscar Levin

Oscar Levin

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Oscar Levin is an associate professor in the School of Mathematical Sciences at the University of Northern Colorado. He has taught math at the college level for over 10 years, winning multiple teaching awards. He received his Ph.D. in 2009 from the University of Connecticut in mathematical logic.

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Top reviews from Australia

vlad
5.0 out of 5 stars An enjoyable introduction
Reviewed in Australia on 6 February 2023
Using this with my daughter, it has interesting examples and some are plain fun - exactly what a good math text should be.
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Taylor Greig
3.0 out of 5 stars Great content, book falling apart
Reviewed in Australia on 5 May 2023
Verified Purchase
Nice and cheap and easy to follow, book is glued poorly though and pages have fallen out.
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Sanjee
5.0 out of 5 stars Excellent condition
Reviewed in Canada on 25 February 2023
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Book was in excellent condition
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Amazon Customer
5.0 out of 5 stars A great introduction!
Reviewed in the United States on 31 January 2023
Verified Purchase
I use this book in my introductory discrete math course. It’s a great introduction to the subject. Levin provides concise explanation with many examples to help with the material.

I hope a future edition will include more on relations (partial orders and equivalence), matrix representation of graphs, and big-O notation.
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Rafael T.M
5.0 out of 5 stars Genial
Reviewed in Brazil on 31 May 2022
Verified Purchase
Exatamente o que queria num livro de matemática discreta. Lógica, grafos, sequências, combinatória, perfeitamente definidos e explicados, com exercícios e exemplos.
One person found this helpful
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Cliente Amazon
4.0 out of 5 stars Ottima indroduzione, ma non molto approfondito
Reviewed in Italy on 26 February 2024
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Ottima indroduzione, ma non molto approfondito
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Victor Ricart
5.0 out of 5 stars Good explanations, great range of topics
Reviewed in Sweden on 2 June 2022
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I really enjoyed the chapter on combinatorics specifically. The way permutations and combinations were presented and explained (along with the exercises that came with) made my understanding of these types of problems much more intuitive than before, where I would always struggle to recall a formula I am now able to derive it from just exploring the problem.
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