The Whole Truth About Whole Numbers

An Elementary Introduction to Number Theory

• Introduction to Number Theory for non-math and non-science majors

• Very accessible to liberal arts students with many relevant proof-solving techniques and exercises

• Includes standard topics in a first Number Theory course as well as applications to identification numbers and cryptography

Textbook

1. Front Matter
Pages i-xvii
2. Sylvia Forman, Agnes M. Rash
Pages 1-7
3. Sylvia Forman, Agnes M. Rash
Pages 9-62
4. Sylvia Forman, Agnes M. Rash
Pages 63-86
5. Sylvia Forman, Agnes M. Rash
Pages 87-111
6. Sylvia Forman, Agnes M. Rash
Pages 113-146
7. Sylvia Forman, Agnes M. Rash
Pages 147-199
8. Sylvia Forman, Agnes M. Rash
Pages 201-227
9. Sylvia Forman, Agnes M. Rash
Pages 229-255
10. Sylvia Forman, Agnes M. Rash
Pages E1-E2
11. Back Matter
Pages 257-281

Introduction

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.

Keywords

Division algorithm Euclidean algorithm Integers Number theory Pythagorean triplets Whole numbers

Authors and affiliations

1. 1.Department of MathematicsSt. Joseph's UniversityPhiladelphiaUSA
2. 2.Department of MathematicsSt. Joseph's UniversityPhiladelphiaUSA

Bibliographic information

• Book Title The Whole Truth About Whole Numbers
• Book Subtitle An Elementary Introduction to Number Theory
• Authors Sylvia Forman
Agnes M. Rash
• DOI https://doi.org/10.1007/978-3-319-11035-6
• Copyright Information Sylvia Forman and Agnes M. Rash 2015
• Publisher Name Springer, Cham
• eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
• Hardcover ISBN 978-3-319-11034-9
• Softcover ISBN 978-3-319-38142-8
• eBook ISBN 978-3-319-11035-6
• Edition Number 1
• Number of Pages XVII, 281
• Number of Illustrations 5 b/w illustrations, 9 illustrations in colour
• Topics
• Buy this book on publisher's site
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