Journey into Discrete Mathematics

Journey into Discrete Mathematics is a textbook designed for a first course in mathematical abstraction for early-career undergraduate mathematics majors. It covers important ideas such as logic, sets, proof writing, relations, counting, number theory, and graph theory, promoting the development of a mathematical mindset and preparing students for further study. The exposition is exquisite and engaging, with detailed descriptions of the thought processes that one might follow to attack mathematical problems. The problems are appealing and vary widely in depth and difficulty, helping the student reader learn to think like a mathematician. The book is authored by three professors of mathematics with specialized expertise and research publications in discrete mathematics, and has over fifty semesters of combined experience in teaching the subject.

\n Format: Hardback
\n Length: 389 pages
\n Publication date: 30 November 2018
\n Publisher: American Mathematical Society
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Discrete Mathematics: A Journey into Mathematical Abstraction is a comprehensive textbook designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The book aims to introduce the fundamental concepts of discrete mathematics in a manner that fosters the development of a mathematical mindset and prepares students for further studies in the field.

The treatment of discrete mathematics encompasses a wide range of topics, including logic, sets, proof writing, relations, counting, number theory, and graph theory. These topics are presented in a way that promotes the growth of a mathematical perspective and equips students with the necessary skills for advanced mathematical exploration. While the book is primarily intended to serve as a resource for students pursuing a mathematics major, its engaging and appealing nature makes it equally valuable to students of computer science and other problem-solving disciplines.

The exposition in Discrete Mathematics is exquisite and engaging, providing detailed descriptions of the thought processes involved in solving mathematical problems. The problems presented in the book are diverse in depth and difficulty, challenging students to apply their mathematical knowledge and analytical skills. The careful design of the book facilitates the learning process by guiding students through the exposition and presenting them with a series of thought-provoking problems.

Several core topics in discrete mathematics, such as counting, number theory, and graph theory, are revisited twice throughout the book. The first introduction serves as a foundational understanding, while the later chapter delves into more advanced concepts and offers a deeper perspective. This approach allows students to build upon their knowledge and develop a comprehensive grasp of these fundamental subjects.

Owen D. Byer and Deirdre L. Smeltzer, both Professors of Mathematics at Eastern Mennonite University, are the authors of Discrete Mathematics. Kenneth L. Wantz, Professor of Mathematics at Regent University, also contributes to the book. Collectively, the authors possess extensive expertise and research publications in discrete mathematics, covering a wide range of topics. With over fifty semesters of combined experience in teaching this subject, they bring a wealth of knowledge and practical insights to the textbook.

Discrete Mathematics: A Journey into Mathematical Abstraction is an essential resource for students embarking on their journey into the world of mathematics. Its comprehensive coverage, engaging exposition, and challenging problems make it an invaluable tool for developing a strong foundation in discrete mathematics and preparing students for further academic and professional pursuits. Whether you are a mathematics major, computer science student, or someone interested in problem-solving, this book will provide you with the necessary skills and knowledge to excel in the field of mathematics.

\n Weight: 832g\n
Dimension: 187 x 264 x 22 (mm)\n
ISBN-13: 9781470446963\n \n