Cassels, J. W. S. (John William Scott)
Overview
Works:  45 works in 339 publications in 6 languages and 6,978 library holdings 

Genres:  Conference papers and proceedings Documentary films Biography Biographical films Nonfiction films Film adaptations 
Roles:  Author, Editor, Other 
Classifications:  QA247, 512.81 
Publication Timeline
.
Most widely held works by
J. W. S Cassels
An introduction to the geometry of numbers by
J. W. S Cassels(
Book
)
64 editions published between 1959 and 1997 in 4 languages and held by 899 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 wellwritten, 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)
64 editions published between 1959 and 1997 in 4 languages and held by 899 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 wellwritten, 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)
An introduction to diophantine approximation by
J. W. S Cassels(
Book
)
40 editions published between 1957 and 2010 in 3 languages and held by 698 WorldCat member libraries worldwide
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics
40 editions published between 1957 and 2010 in 3 languages and held by 698 WorldCat member libraries worldwide
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics
Algebraic number theory by
Richard A Mollin(
Book
)
69 editions published between 1967 and 2010 in English and Undetermined and held by 688 WorldCat member libraries worldwide
"A followup to Dr. Mollin's popular Fundamental Number Theory with Applications, Algebraic Number Theory provides a global approach to the subject, carefully leading the reader through algebraic numbers, the arithmetic of number fields, ideal theory, ideal decomposition in extension fields, and reciprocity laws. In each chapter, the author includes a section on a cryptographic application of the ideas presented, effectively demonstrating the pragmatic side of theory." "Algebraic Number Theory provides a comprehensible yet thorough treatment of the material. Written with the prerequisite background provided in appendices so that anyone can work through the book, this oneofakind text brings the subject matter to life with historical background and realworld practicality."Jacket
69 editions published between 1967 and 2010 in English and Undetermined and held by 688 WorldCat member libraries worldwide
"A followup to Dr. Mollin's popular Fundamental Number Theory with Applications, Algebraic Number Theory provides a global approach to the subject, carefully leading the reader through algebraic numbers, the arithmetic of number fields, ideal theory, ideal decomposition in extension fields, and reciprocity laws. In each chapter, the author includes a section on a cryptographic application of the ideas presented, effectively demonstrating the pragmatic side of theory." "Algebraic Number Theory provides a comprehensible yet thorough treatment of the material. Written with the prerequisite background provided in appendices so that anyone can work through the book, this oneofakind text brings the subject matter to life with historical background and realworld practicality."Jacket
Rational quadratic forms by
J. W. S Cassels(
Book
)
26 editions published between 1978 and 2008 in 3 languages and held by 475 WorldCat member libraries worldwide
26 editions published between 1978 and 2008 in 3 languages and held by 475 WorldCat member libraries worldwide
Lectures on elliptic curves by
J. W. S Cassels(
Book
)
23 editions published between 1991 and 2001 in English and Japanese and held by 473 WorldCat member libraries worldwide
23 editions published between 1991 and 2001 in English and Japanese and held by 473 WorldCat member libraries worldwide
Economics for mathematicians by
J. W. S Cassels(
Book
)
27 editions published between 1981 and 1985 in English and Italian and held by 457 WorldCat member libraries worldwide
27 editions published between 1981 and 1985 in English and Italian and held by 457 WorldCat member libraries worldwide
Local fields by
J. W. S Cassels(
Book
)
22 editions published between 1985 and 1995 in English and held by 446 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; PREFACE; CONTENTS; LEITFADEN; NOTATIONAL CONVENTIONS; CHAPTER ONE: INTRODUCTION; 1 VALUATIONS; 2 REMARKS; 3 AN APPLICATION; CHAPTER TWO: GENERAL PROPERTIES; 1 DEFINITIONS AND BASICS; 2 VALUATIONS ON THE RATIONALS; 3 INDEPENDENCE OF VALUATIONS; 4 COMPLETENESS; 5 FORMAL SERIES AND A THEOREM OF EISENSTEIN; CHAPTER THREE: ARCHIMEDEAN VALUATIONS; 1 INTRODUCTION; 2 SOME LEMMAS; 3 COMPLETION OF PROOF; CHAPTER FOUR: NONARCHIMEDEAN VALUATIONS. SIMPLE PROPERTIES; 1 DEFINITIONS AND BASICS; 2 AN APPLICATION TO FINITE GROUPS OF RATIONAL MATRICES; 3 HENSEL'S LEMMA
22 editions published between 1985 and 1995 in English and held by 446 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; PREFACE; CONTENTS; LEITFADEN; NOTATIONAL CONVENTIONS; CHAPTER ONE: INTRODUCTION; 1 VALUATIONS; 2 REMARKS; 3 AN APPLICATION; CHAPTER TWO: GENERAL PROPERTIES; 1 DEFINITIONS AND BASICS; 2 VALUATIONS ON THE RATIONALS; 3 INDEPENDENCE OF VALUATIONS; 4 COMPLETENESS; 5 FORMAL SERIES AND A THEOREM OF EISENSTEIN; CHAPTER THREE: ARCHIMEDEAN VALUATIONS; 1 INTRODUCTION; 2 SOME LEMMAS; 3 COMPLETION OF PROOF; CHAPTER FOUR: NONARCHIMEDEAN VALUATIONS. SIMPLE PROPERTIES; 1 DEFINITIONS AND BASICS; 2 AN APPLICATION TO FINITE GROUPS OF RATIONAL MATRICES; 3 HENSEL'S LEMMA
Prolegomena to a middlebrow arithmetic of curves of genus 2 by
J. W. S Cassels(
Book
)
16 editions published between 1996 and 2005 in English and held by 319 WorldCat member libraries worldwide
Rational divisor classes with no rational divisorChapter 5. Weddle's surface; 0. Introduction; 1. Symmetroid and Jacobian; 2. A special case; 4. Duality; Chapter 6.; 0. Introduction; 1. The homomorphism; 2. The kernel; 5. When is; 6. The Kummer viewpoint; 8. The norm of p; 9. A pathology; 10. The quintic case; Chapter 7. The jacobian over local fields. Formal groups; 0. Introduction; 1. Computing the formal group; 2. General properties of formal groups; 3. The reduction map; 4. Torsion in the kernel of reduction; 5. The order of when & is a finite extension of Qp,p=∞
16 editions published between 1996 and 2005 in English and held by 319 WorldCat member libraries worldwide
Rational divisor classes with no rational divisorChapter 5. Weddle's surface; 0. Introduction; 1. Symmetroid and Jacobian; 2. A special case; 4. Duality; Chapter 6.; 0. Introduction; 1. The homomorphism; 2. The kernel; 5. When is; 6. The Kummer viewpoint; 8. The norm of p; 9. A pathology; 10. The quintic case; Chapter 7. The jacobian over local fields. Formal groups; 0. Introduction; 1. Computing the formal group; 2. General properties of formal groups; 3. The reduction map; 4. Torsion in the kernel of reduction; 5. The order of when & is a finite extension of Qp,p=∞
N is a number a portrait of Paul Erdős by
George Paul Csicsery(
Visual
)
1 edition published in 2004 in English and held by 199 WorldCat member libraries worldwide
A documentary filmed in England, Hungary, Poland and the United States over a period of four years presenting mathematician Paul Erdos's mathematical quest in its personal and philosophical dimensions, and the tragic historical events that molded his life
1 edition published in 2004 in English and held by 199 WorldCat member libraries worldwide
A documentary filmed in England, Hungary, Poland and the United States over a period of four years presenting mathematician Paul Erdos's mathematical quest in its personal and philosophical dimensions, and the tragic historical events that molded his life
Algebraicheskai︠a︡ teorii︠a︡ chisel by
Hermann Weyl(
Book
)
7 editions published in 1969 in Russian and held by 14 WorldCat member libraries worldwide
7 editions published in 1969 in Russian and held by 14 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
1 edition published in 1991 in English and held by 4 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
1 edition published in 1956 in French and held by 4 WorldCat member libraries worldwide
Farey section in k(i) and k(p) by
J. W. S Cassels(
Book
)
2 editions published in 1951 in Undetermined and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1951 in Undetermined and English and held by 3 WorldCat member libraries worldwide
Diophantine equations, with special reference to elliptic curves by
J. W. S Cassels(
Book
)
2 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
On the product of three homogeneous linear forms and indefinite ternary quadratic forms by
J. W. S Cassels(
Book
)
2 editions published in 1955 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1955 in English and held by 2 WorldCat member libraries 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
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
Geometric group theory : proceedings of the symposium held in Sussex, 1991 by
Mikhael Gromov(
Book
)
3 editions published in 1993 in English and Undetermined and held by 1 WorldCat member library worldwide
The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. This first volume contains contributions from many of the world's leading figures in this field, and their contributions demonstrate the many interesting facets of geometrical group theory. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library
3 editions published in 1993 in English and Undetermined and held by 1 WorldCat member library worldwide
The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. This first volume contains contributions from many of the world's leading figures in this field, and their contributions demonstrate the many interesting facets of geometrical group theory. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library
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
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
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
Introduction to operator space theory by
Gilles Pisier(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; CONTENTS; Chapter 0. Introduction; PART I INTRODUCTION TO OPERATOR SPACES; Chapter 1. Completely Bounded Maps; Chapter 2. The Minimal Tensor Product. Ruan's Theorem: Basic Operations; 2.1. Minimal tensor product; 2.2. Ruan's Theorem; 2.3. Dual space; Exercises; 2.4. Quotient space; Exercises; 2.5. Bidual. Von Neumann algebras; 2.6. Direct sum; Exercises; 2.7. Intersection, Sum, Complex Interpolation; 2.8. Ultraproduct; 2.9. Complex conjugate; 2.10. Opposite; 2.11. Ruan's Theorem and quantization; 2.12. Universal objects; 2.13. Perturbation lemmas
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; CONTENTS; Chapter 0. Introduction; PART I INTRODUCTION TO OPERATOR SPACES; Chapter 1. Completely Bounded Maps; Chapter 2. The Minimal Tensor Product. Ruan's Theorem: Basic Operations; 2.1. Minimal tensor product; 2.2. Ruan's Theorem; 2.3. Dual space; Exercises; 2.4. Quotient space; Exercises; 2.5. Bidual. Von Neumann algebras; 2.6. Direct sum; Exercises; 2.7. Intersection, Sum, Complex Interpolation; 2.8. Ultraproduct; 2.9. Complex conjugate; 2.10. Opposite; 2.11. Ruan's Theorem and quantization; 2.12. Universal objects; 2.13. Perturbation lemmas
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Flynn, E. V. Author
 Fröhlich, A. (Albrecht) 1916 Editor
 London Mathematical Society Other Publishing director Editor
 International Mathematical Union Other
 Chung, Fan R. K. 1949
 Łuczak, Tomasz 1963
 Wilf, Herbert S. 19312012
 Ruciński, Andrzej
 Lovász, László 1948
 Bollobás, Béla
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic fields Algebraic number theory Approximation theory Banach algebras Banach spaces Combinatorial analysis Curves, Algebraic Curves, Elliptic Diophantine analysis Diophantine approximation Diophantine equations Economics Economics, Mathematical EconomicsMathematical models Erdős, Paul, Forms, Quadratic Geometric group theory Geometry Geometry of numbers Group theory Hoffman, Paul, Hungary Infinite groups Lie groups Local fields (Algebra) Mathematical physics Mathematicians Mathematics MathematicsPhilosophy Number theory Operator algebras Operator spaces Quantum groups Ramsey theory Random graphs Transcendental numbers
Alternative Names
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 (19222015)
J. W. S. Cassels brittisk matematiker
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
Covers