Methods of Solving Number Theory Problems

• Main Author: Grigorieva, Ellina (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Subjects: Number theory.; Mathematics-Study and teaching .; Mathematical logic.; Number Theory.; Mathematics Education.; Mathematical Logic and Foundations.

Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a sys...

Table of Contents:

• Preface
• Numbers: Problems Involving Integers
• Further Study of Integers
• Diophantine Equations and More
• Pythagorean Triples, Additive Problems, and More
• Homework.