Arjeh M. Cohen's Books

Diagram Geometry

Related to Classical Groups and Buildings

By: Francis Buekenhout,Arjeh M. Cohen

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Diagram Geometry

Related to Classical Groups and Buildings

By: Francis Buekenhout,Arjeh M. Cohen

This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.

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Page Count

597

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642344534

ISBN 13

9783642344534

Mathematical Software

Proceedings of the First International Congress of Mathematical Software : Beijing, China, 17-19 August 2002

By: Arjeh M. Cohen,Xiao-Shan Gao,Nobuki Takayama

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Mathematical Software

Proceedings of the First International Congress of Mathematical Software : Beijing, China, 17-19 August 2002

By: Arjeh M. Cohen,Xiao-Shan Gao,Nobuki Takayama

Annotation The advent of mathematical software has been one of the most important events in mathematics. Mathematical software systems are used to construct examples, to prove theorems, and to find new mathematical phenomena. On the other hand, mathematical research often motivates developments of new algorithms and new systems. Mathematical software systems rely on the cooperation of mathematicians, designers of algorithms, and mathematical programmers. This book is aimed at software developers in mathematics and programming mathematicians, but it also provides opportunities to discuss the topics with mathematicians.

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Page Count

536

Publisher

World Scientific

Published Date

ISBN 10

9812380485

ISBN 13

9789812380487

Distance-Regular Graphs

By: Andries E. Brouwer,Arjeh M. Cohen,Arnold Neumaier

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Distance-Regular Graphs

By: Andries E. Brouwer,Arjeh M. Cohen,Arnold Neumaier

Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distance-regular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distance-regular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book.

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Page Count

513

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642743412

ISBN 13

9783642743412

Algebra Interactive!

Learning Algebra in an Exciting Way

By: Arjeh M. Cohen,Hans Cuypers,Hans Sterk

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Algebra Interactive!

Learning Algebra in an Exciting Way

By: Arjeh M. Cohen,Hans Cuypers,Hans Sterk

The first interactive course covering first and second year algebra. Starting from such fundamental topics as integers and divisions, modular arithmetic and polynomials the content extends to rings, fields and permutation groups. The hypertext is written in Java-enhanced HTML, and Java applets illustrate the theory while also contributing interactive calculators for computing with integers, polynomials and permutations. The computer algebra system GAP is integrated throughout, allowing the calculation and manipulation of mathematical objects. In addition, collections for Mathematica notebooks and Maple worksheets review the algorithms presented. Multiple choice exercises provide users with instant feedback, while facilities for monitoring students and a bulletin board complete this digital course.

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Page Count

174

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540653686

ISBN 13

9783540653684

Some Tapas of Computer Algebra

By: Arjeh M. Cohen,Hans Cuypers,Hans Sterk

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Some Tapas of Computer Algebra

By: Arjeh M. Cohen,Hans Cuypers,Hans Sterk

This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.

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Page Count

374

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540634800

ISBN 13

9783540634805

Book's by Arjeh M. Cohen

Diagram Geometry

Diagram Geometry

Mathematical Software

Mathematical Software

Distance-Regular Graphs

Distance-Regular Graphs

Algebra Interactive!

Algebra Interactive!

Some Tapas of Computer Algebra

Some Tapas of Computer Algebra

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