Title
The Intricate Nature of Mathematics
Files
Description
This book emerged from a set of lecture notes used by one of the authors to teach a 200 level course in Nature of Mathematics. The course was introduced as a bridge from traditional Calculus I, II, III courses to higher level courses of Mathematics, such as Abstract Algebra and Advanced Calculus. The book introduces basic notions from set theory, symbolic logic, functions and relations, number theory, combinatorics and graph theory. It also gives an introduction to more abstract mathematical proofs. The techniques discussed in the book include: direct proof, in particular proof by enumeration of cases, proof by contradiction, proof by mathematical induction, proofs using Well Ordering Principle, pigeonhole principle, inclusion-exclusion principle and coloring arguments.
ISBN
978-3659424434
Publication Date
7-11-2013
Publisher
LAP Lambert Academic Publishing
City
Saarbrücken, Germany
Disciplines
Mathematics
Recommended Citation
Nitica, Viorel and Nitica, Catalin, "The Intricate Nature of Mathematics" (2013). College of Arts & Sciences Faculty Books. 91.
https://digitalcommons.wcupa.edu/casfaculty_books/91