WorldCat Identities

Cassels, J. W. S. (John William Scott)

Overview
Works: 54 works in 363 publications in 6 languages and 7,553 library holdings
Genres: Conference papers and proceedings  Records and correspondence 
Roles: Author, Editor, Other
Publication Timeline
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Most widely held works by J. W. S Cassels
An introduction to the geometry of numbers by J. W. S Cassels( Book )

68 editions published between 1959 and 1997 in 4 languages and held by 888 WorldCat member libraries worldwide

Reihentext + Geometry of Numbers From the reviews: "The work is carefully written. It is well motivated, and interesting to read, even if it is not always easy ... historical material is included ... the author has written an excellent account of an interesting subject." (Mathematical Gazette) "A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowski's Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." (The American Mathematical Monthly)
Algebraic number theory by A Fröhlich( Book )

71 editions published between 1967 and 2010 in English and Undetermined and held by 701 WorldCat member libraries worldwide

This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists
An introduction to diophantine approximation by J. W. S Cassels( Book )

34 editions published between 1957 and 2010 in 3 languages and held by 682 WorldCat member libraries worldwide

Rational quadratic forms by J. W. S Cassels( Book )

30 editions published between 1978 and 2008 in 3 languages and held by 480 WorldCat member libraries worldwide

Lectures on elliptic curves by J. W. S Cassels( Book )

24 editions published between 1991 and 2001 in English and Japanese and held by 475 WorldCat member libraries worldwide

Local fields by J. W. S Cassels( Book )

21 editions published between 1985 and 1995 in English and held by 449 WorldCat member libraries worldwide

"The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students"--Publisher description
Prolegomena to a middlebrow arithmetic of curves of genus 2 by J. W. S Cassels( Book )

19 editions published between 1996 and 2005 in English and held by 328 WorldCat member libraries worldwide

The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. Included is an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. The Mordell-Weil group can then be determined for many curves, and in many non-trivial cases all rational points can be found. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not assumed in the main text. Number theorists, algebraic geometers and workers in related areas will find that this book offers unique insights into the arithmetic of curves of genus 2
Vvedenie v teorii︠u︡ diofantovykh priblizheniĭ by J. W. S Cassels( Book )

6 editions published in 1961 in Russian and held by 16 WorldCat member libraries worldwide

Algebraičeskaja teorija čisel( Book )

4 editions published in 1969 in Russian and held by 13 WorldCat member libraries worldwide

Britain's real skill shortage : and what do to about it by J. W. S Cassels( Book )

2 editions published in 1990 in English and held by 12 WorldCat member libraries worldwide

Local fields( )

1 edition published in 1986 in English and held by 5 WorldCat member libraries worldwide

Sur les idees modernes en geometrie des nombres. Conference 1956 by J. W. S Cassels( Book )

1 edition published in 1956 in French and held by 4 WorldCat member libraries worldwide

Lectures on elliptic curves by J. W. S Cassels( )

1 edition published in 1991 in English and held by 4 WorldCat member libraries worldwide

Geometric group theory : Symposium : Papers( Book )

2 editions published in 1993 in Undetermined and English and held by 1 WorldCat member library worldwide

LMSST: 24 Lectures on Elliptic Curves by J. W. S Cassels( Book )

3 editions published in 1991 in English and held by 1 WorldCat member library worldwide

26 Factorizing using elliptic curves 26. Exercises; Formulary; Further Reading; INDEX
Quantum groups and Lie theory by Andrew Pressley( )

2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide

This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses
Surveys in combinatorics, 2003 by C. D Wensley( )

2 editions published in 2003 in English and held by 0 WorldCat member libraries worldwide

In 2003 the British Combinatorial Conference conference was held at the University of Wales, Bangor. The papers contained here are high quality surveys contributed by the invited speakers, covering topics of significant interest. Ideal for established researchers and graduate students who will find much here to inspire future work
Geometric Galois actions by Leila Schneps( )

1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide

This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest among workers in algebraic geometry, number theory, algebra and topology
 
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Audience level: 0.47 (from 0.03 for Geometric ... to 0.93 for Local fiel ...)

Local fieldsLocal fields
Alternative Names
Cassels, Ian

Cassels, J. W.

Cassels, J. W. S.

Cassels, J.W.S. 1922-

Cassels, John William Scott

Cassels, John William Scott 1922-

J. W. S. Cassels britisk matematikar

J. W. S. Cassels britisk matematiker

J. W. S. Cassels Brits wiskundige (1922-2015)

J. W. S. Cassels brittisk matematiker

J. W. S. Cassels matemático británico

J. W. S. キャスルズ

John Cassels englischer Mathematiker

John Cassels mathématicien russe

John William Scott Cassels

Kassels, Dž.

Kassels, Dž. V. S.

Scott Cassels, John William 1922-

Касселс, Дж. В. С.

Касселс, Дж. У. С..

존 윌리엄 스콧 캐셀스

キャッセルズ, J. W. S.

約翰·威廉·斯科特·卡斯爾斯

Languages
English (245)

Russian (22)

German (10)

Japanese (2)

French (1)

Italian (1)

Covers
Algebraic number theoryAn introduction to diophantine approximationRational quadratic formsLectures on elliptic curvesLocal fieldsProlegomena to a middlebrow arithmetic of curves of genus 2Local fieldsGeometric group theory : Symposium : Papers