This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.

Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)

Computers & Technology

Cohen, Henri

Programming

Springer

The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.

Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics, 239)

This proceedings volume provides a broad overview of recent developments in computer simulation studies of condensed-matter systems. It presents new physical results, simulation techniques and new ways of interpreting simulational data. The contributions are collected in four parts. The first part contains invited contributors dealing with simulational studies of classical systems including an introduction to new techniques and special-purpose computers. The second part is devoted to contributions on quantum systems with newest results on strongly correlated electron and quantum spin models. The third part provides a description of a newly developed software shell designed for parallel processing of programs. Contributed papers comprise the fourth part.

Number Theory

Science & Math

Mathematics

Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.

Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193)

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.

Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics)

Reprint of the sixth, and best, edition of this bibliography of French 18th-century illustrated books. Revised and enlarged by Seymour DeRicci. Originally published in Paris by Librairie A. Rouquette in 1912. With the bookplate and pencil signature of Gavin Bridson. xxvi, 1247 pages. cloth.. thick 8vo..

Guide De L'Amateur De Livres a Gravures Du XVIII Siecle

History

World

Martino Pub

A Course in Computational Algebraic Number Theory (Graduate Texts in Mathematics)

A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

A Course in Computational Algebraic Number Theory (Graduate Texts in Mathematics, 138)

Computer Science

A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

See the best price to sell, buy, or rent books by Cohen, Henri. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Cohen, Henri

See the best price to sell, buy, or rent books by Cohen, Henri. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)

Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics, 239)

Number Theory

Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics, 193)

Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)

Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics, 239)

Advanced Topics in Computational Number Theory (Graduate Texts in Mathematics)

Guide De L'Amateur De Livres a Gravures Du XVIII Siecle

A Course in Computational Algebraic Number Theory (Graduate Texts in Mathematics, 138)

A Course in Computational Algebraic Number Theory (Graduate Texts in Mathematics)