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Tag: Number Theory

Problem-Solving and Selected Topics in Number Theory (In the Spirit of the Mathematical Olympiads)

The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed Read more…


Elementary Number Theory, Cryptography and Codes

In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography Read more…


Elementary Number Theory and Its Applications

Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of Read more…


Elementary Number Theory in Nine Chapters

Intended to serve as a one-semester introductory course in number theory, this second edition has been revised throughout. In particular, the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Read more…


Number Theory for Mathematical Contests

These notes started in the summer of 1993 when I was teaching Number Theory at the Center for Talented Youth Summer Program at the Johns Hopkins University. The pupils were between 13 and 16 years of age. Download ToanKho: http://123link.pw/Dy9XS


A Primer of Analytic Number Theory (From Pythagoras to Riemann)

This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. Jeffrey Stopple pays special attention to the rich history of the subject and ancient questions on polygonal numbers, perfect numbers and Read more…


A Course in Computational Number Theory

This text will be a modern introduction to number theory, a course taught at most colleges and universities, primarily to math and c.s. majors, and will place heavy and continuing emphasis on algorithmic aspects of the subject. The language of Read more…


Solved and Unsolved Problems in Number Theory

The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results Read more…


Elementary Number Theory – Allyn and Bacon

Emphasizes the biographical and historical aspects of number theory. The book incorporates current discoveries and discusses unsolved mysteries in number theory. The problem sets range in difficulty from the mechanical to the theoretical. Download ToanKho: http://123link.pw/SLSoBaZA


Elementary Number Theory (A Problem Oriented Approach)

Elementary Number Theory (A Problem Oriented Approach) Download ToanKho: http://123link.pw/ohw9