Elementary Number Theory (7th Edition)

Elementary Number Theory (7th Edition) by David M. Burton is an internationally acclaimed, classical textbook designed to introduce students to the elegance, history, and fundamental principles of number theory. Published by McGraw-Hill, this 7th Edition bridges historical mathematical developments with modern computational applications.

This textbook is extensively prescribed across BS Mathematics, BS Computer Science, Software Engineering, BS Data Science, and competitive examination preparation courses (such as CSS and PMS) at leading Pakistani universities and colleges.

The book thoroughly covers the complete spectrum of classical elementary number theory. Core topics include mathematical induction and divisibility theory, the Euclidean Algorithm and Greatest Common Divisor (GCD), prime numbers and the Fundamental Theorem of Arithmetic, theory of congruences and linear Diophantine equations, Fermat’s Little Theorem, Wilson’s Theorem, and Euler’s Phi-function ($\phi$), primitive roots and indices, quadratic residues and the Law of Quadratic Reciprocity, perfect numbers and Mersenne primes, continued fractions, and introductory public-key cryptography (RSA algorithm).

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