If you're looking to brush up on your discrete mathematics in 2021, then you've come to the right place! This field of mathematics deals with objects that can only take on separate, distinct values, as opposed to continuous values like those found in calculus. It has many practical applications, from cryptography to computer science.
Discrete Mathematics (8th Edition)
If you're new to the subject, Discrete Mathematics (8th Edition) is an excellent introductory text. It covers the basics of the field in a clear, concise manner that's easy to understand even if you're not a math expert. The book is packed with examples, exercises, and illustrations that help you visualize abstract concepts.
The 8th edition, published in 2019, has been updated to reflect the latest advances in discrete mathematics. It includes new sections on graph theory, combinatorics, and coding theory, as well as expanded coverage of mathematical reasoning, proof techniques, and algorithmic thinking. The authors, Richard Johnsonbaugh and Marcus Schaefer, are both well-respected mathematicians who bring their years of experience to bear on this comprehensive guide.
Discrete Mathematics and Its Applications (7th Edition)
If you're looking for a more advanced text, Discrete Mathematics and Its Applications (7th Edition) by Kenneth H. Rosen is a good choice. This book covers a broad range of topics, including logic, set theory, graph theory, and number theory. The 7th edition, published in 2012, has been updated to include new examples, exercises, and applications.
One of the strengths of this book is its emphasis on applications. Each chapter includes real-world examples that illustrate the relevance of discrete mathematics to fields like computer science, engineering, and operations research. The author also provides historical notes and biographies of famous mathematicians throughout the text, which add a human touch to the subject matter.
Whether you're studying discrete mathematics for the first time or looking to deepen your knowledge, these two books are excellent resources. With their clear explanations, engaging examples, and helpful exercises, they'll help you better understand this fascinating field of mathematics.
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