The Whole Truth About Whole Numbers: An Elementary Introduction to Number Theory

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The Whole Truth About Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory. The topics covered are many of those included in an introductory Number Theory course for mathematics majors, but the presentation is carefully tailored to meet the needs of elementary education, liberal arts, and other non-mathematical majors. The text covers logic and proofs, as well as major concepts in Number Theory, and contains an abundance of worked examples and exercises to both clearly illustrate concepts and evaluate the students’ mastery of the material.

Author(s): Sylvia Forman, Agnes M. Rash (auth.)
Edition: 1
Publisher: Springer International Publishing
Year: 2015

Language: English
Pages: 282
Tags: Number Theory; Numerical Analysis; Mathematics, general

Front Matter....Pages i-xvii
Introduction....Pages 1-7
Conjectures, Proofs, and Counterexamples....Pages 9-62
Pythagorean Triples....Pages 63-86
Prime Numbers....Pages 87-111
The Euclidean Algorithm....Pages 113-146
Congruences....Pages 147-199
Numerical Functions and Special Congruences....Pages 201-227
Cryptology....Pages 229-255
Back Matter....Pages 257-282