Free Computer, Mathematics, Technical Books and Lecture Notes, etc.
Elementary Number Theory: Primes, Congruences, and Secrets
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. Many numerical examples are given throughout the book using the Sage mathematical software.
Topology of Numbers (Allen Hatcher)
A textbook on elementary number theory from a geometric point of view, as opposed to the usual strictly algebraic approach. A fair amount of the book is devoted to studying Conway's topographs associated to quadratic forms in two variables.
A Computational Introduction to Number Theory and Algebra
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The coverage includes the basics of number theory, abstract algebra and discrete probability theory.
Algorithmic Number Theory: Lattices, Curves, and Cryptography
This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes several articles that cover the essential topics in this area.
Analytic Number Theory: A Tribute to Gauss and Dirichlet
The book begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet.
Essays on the Theory of Numbers (Richard Dedekind)
This book contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The contents of these essays belong to the foundations of mathematics and our number system.
Algorithms for Modular Elliptic Curves, 2nd Edition (J. E. Cremona)
This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves with remarks on computer implementation.
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