The whole truth about whole numbers
Subtitle: an elementary introduction to number theory
By: Sylvia Forman, Agnes M. Rash
Contributors: Rash, Agnes M., author
Publisher: Springer
Published: 2015
Place of publication: Cham
Language: eng
Number of pages: 282
ISBN-13: 9783319110356; 9783319110349
Subjects: Number theory; Numerical analysis; Mathematics; Number Systems; General; Number Theory
Description: 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.
Notes: Includes bibliographical references and index.
Table of contents: title: Introduction; title: Conjectures, Proofs and Counterexamples; title: Pythagorean Triples; title: Prime Numbers; title: The Division Algorithm and the Euclidean Algorithm; title: Congruences; title: Numerical Functions and Special Congruences; title: Cryptography.