Everest, Graham 1957
Overview
Works:  7 works in 58 publications in 2 languages and 1,487 library holdings 

Roles:  Author 
Publication Timeline
.
Most widely held works by
Graham Everest
An introduction to number theory by
Graham Everest(
)
26 editions published between 2005 and 2010 in English and held by 850 WorldCat member libraries worldwide
"An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory. A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and SwinnertonDyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography. Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory."Publisher's website
26 editions published between 2005 and 2010 in English and held by 850 WorldCat member libraries worldwide
"An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory. A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and SwinnertonDyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography. Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory."Publisher's website
Recurrence sequences by
Graham Everest(
Book
)
13 editions published between 2003 and 2015 in English and held by 342 WorldCat member libraries worldwide
Recurrent sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics, including combinatorics, dynamical systems and cryptography, and to computer science are described
13 editions published between 2003 and 2015 in English and held by 342 WorldCat member libraries worldwide
Recurrent sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics, including combinatorics, dynamical systems and cryptography, and to computer science are described
Heights of polynomials and entropy in algebraic dynamics by
Graham Everest(
Book
)
14 editions published between 1998 and 1999 in English and held by 290 WorldCat member libraries worldwide
The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a paper by Lehmer is looked at, which is extremely welltimed due to the revival of interest following the work of Boyd and Deninger on special values of Mahler's measure. The authors'approach is very down to earth as they cover the rationals, assuming no prior knowledge of elliptic curves. The chapters include examples and particular computations. A large chunk of the book has been devoted to the elliptic Mahler's measure. Special calculation have been included and will be selfcontained. One of the most important results about Mahler's measure is that it is the entropy associated to a dynamical system. The authors devote space to discussing this and to giving some convincing and original examples to explain this phenomenon
14 editions published between 1998 and 1999 in English and held by 290 WorldCat member libraries worldwide
The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a paper by Lehmer is looked at, which is extremely welltimed due to the revival of interest following the work of Boyd and Deninger on special values of Mahler's measure. The authors'approach is very down to earth as they cover the rationals, assuming no prior knowledge of elliptic curves. The chapters include examples and particular computations. A large chunk of the book has been devoted to the elliptic Mahler's measure. Special calculation have been included and will be selfcontained. One of the most important results about Mahler's measure is that it is the entropy associated to a dynamical system. The authors devote space to discussing this and to giving some convincing and original examples to explain this phenomenon
Gauss'sche Summen : nach Vorlesungen gehalten in Köln 1982 u. Cambridge, 1983 by
A Fröhlich(
Book
)
2 editions published in 1983 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1983 in German and held by 2 WorldCat member libraries worldwide
On the compensation measuring apparatus of the Great trigonometrical survey of India by
Graham Everest(
Book
)
1 edition published in 1833 in English and held by 1 WorldCat member library worldwide
1 edition published in 1833 in English and held by 1 WorldCat member library worldwide
Dynamical systems arising from elliptic curves(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
On the formulae for calculating Azimuth in trigonometrical operations by
Graham Everest(
Book
)
1 edition published in 1833 in English and held by 1 WorldCat member library worldwide
1 edition published in 1833 in English and held by 1 WorldCat member library worldwide
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