WorldCat Identities

Everest, Graham 1957-

Overview
Works: 7 works in 58 publications in 2 languages and 1,487 library holdings
Roles: Author
Publication Timeline
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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 Swinnerton-Dyer. 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
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 well-timed 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 self-contained. 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

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

Dynamical systems arising from elliptic curves( )

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

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.60 (from 0.54 for An introdu ... to 0.99 for On the com ...)

An introduction to number theory
Covers
Recurrence sequencesHeights of polynomials and entropy in algebraic dynamics
Alternative Names
Everest, G.

Everest, G. 1957-2010

Graham Everest britischer Mathematiker

Graham Everest British mathematician

Graham Everest Brits wiskundige (1957-2010)

Graham Everest matemático británico

Languages
English (56)

German (2)