Design Theory

Author: Thomas Beth
Editor: Cambridge University Press
ISBN: 9780521772310
Size: 13,70 MB
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This is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.

Finite Geometry And Combinatorial Applications

Author: Simeon Ball
Editor: Cambridge University Press
ISBN: 1107107997
Size: 15,20 MB
Format: PDF
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A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

Handbook Of Finite Fields

Author: Gary L. Mullen
Editor: CRC Press
ISBN: 1439873828
Size: 18,30 MB
Format: PDF, ePub
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Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.

Banach Algebras And The General Theory Of Algebras Volume 2 Algebras

Author: Theodore W. Palmer
Editor: Cambridge University Press
ISBN: 9780521366380
Size: 16,48 MB
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This is the second volume of a two-volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. The author emphasizes the roles of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. Proofs are presented in complete detail at a level accessible to graduate students. The books will become the standard reference for the general theory of *-algebras. This second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions. Chapter 10 proves nearly all the results previously known for Banach *-algebras and hermitian Banach *-algebras for *-algebras with various essentially algebraic restrictions. Chapter 11 restates the previous results in terms of Banach *-algebras and uses them to prove results explicitly involving the complete norm. Chapter 12 is devoted to locally compact groups and the *-algebras related to them.

The Foundations Of Mathematics In The Theory Of Sets

Author: John P. Mayberry
Editor: Cambridge University Press
ISBN: 9780521770347
Size: 19,72 MB
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This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Handbook Of Categorical Algebra Volume 2 Categories And Structures

Author: Francis Borceux
Editor: Cambridge University Press
ISBN: 9780521441797
Size: 10,12 MB
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The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.

Bulletin Of The Institute Of Combinatorics And Its Applications

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Size: 11,54 MB
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Quantum Information Computation

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Size: 16,31 MB
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Choice Books For College Libraries

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Mathematics Of Chance

Author: Jirí Andel
Editor: John Wiley & Sons
ISBN: 0470317914
Size: 19,59 MB
Format: PDF, Mobi
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Mathematics of Chance utilizes simple, real-world problems-some of which have only recently been solved-to explain fundamental probability theorems, methods, and statistical reasoning. Jiri Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems. Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics including: * Random walks * Principle of reflection * Probabilistic aspects of records * Geometric distribution * Optimization * The LAD method, and more Knowledge of the basic elements of calculus will be sufficient in understanding most of the material presented here, and little knowledge of pure statistics is required. Jiri Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.