Journey into discrete mathematics

by Byer, Owen

Type Book

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Title Statements

Full title :Journey into discrete mathematics / Owen D. Byer, Deirdre L. Smeltzer, Kenneth L. Wantz.

Summary

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.

Edition Statements

Publication Date:©2018

Publication Statements

Publisher(s):MAA Press, an imprint of the American Mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©2018

The Physical Object

Description:1 online resource (xi, 388 pages) : : illustrations

Edition Identifiers

ISBN:9781470449124, 1470449129
oclc:on1078935842
LC Classification:QA248
Dewey Decimal:511/.1

Convince me! -- Mini-theories -- Logic and sets -- Logic and proof -- Relations and functions -- Induction -- Number theory -- Counting -- Graph theory -- Invariants and monovariants -- Topics in counting -- Topics in number theory -- Topics in graph theory.

Subjects

Analyse combinatoire Analyse mathématique Combinatorial analysis Electronic books Mathematical analysis MATHEMATICS -- General Mathematics education -- Arithmetic, nu… Mathematics education -- Combinatorics,… Mathematics education -- Foundations of… Mathematics education -- Numerical math… Number theory Set theory Théorie des ensembles Théorie des nombres