Number Theory Structures, Examples, and Problems /

• Main Authors: Andrica, Dorin. (Author), Andreescu, Titu. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2009.
• Subjects: Mathematics.; Algebra.; Combinatorics.; Number theory.; Mathematics, general.; Number Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b11856

Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated and famous open pr...

Table of Contents:

• Preface
• Divisibility
• Powers of Integers
• Floor Function and Fractional Part
• Digits of Numbers
• Basic Principles in Number Theory
• Arithmetic Functions
• More on Divisibility
• Diophantine Equations
• Some Special Problems in Number Theory
• Problems Involving Binomial Coefficients
• Miscellaneous
• Glossary
• References
• Index.