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Finite Geometry and Combinatorial Applications

Author: Simeon Ball

Publisher: Cambridge University Press


Category: Mathematics

Page: 295

View: 683

A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras

Author: Theodore W. Palmer

Publisher: Cambridge University Press


Category: Mathematics

Page: 1616

View: 681

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.

Applied Combinatorics on Words

Author: M. Lothaire

Publisher: Cambridge University Press


Category: Computers

Page: 610

View: 733

Applications of combinatorics in bioformatics, text processing, combinatorial enumeration and fractal analysis.

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

Author: A. A. Ivanov

Publisher: Cambridge University Press


Category: Mathematics

Page: 286

View: 882

The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014

Author: Charles J. Colbourn

Publisher: Springer


Category: Mathematics

Page: 259

View: 789

This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions.​ ​The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.

Mathematics of Chance

Author: Jirí Andel

Publisher: John Wiley & Sons


Category: Mathematics

Page: 272

View: 584

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.

Handbook of Categorical Algebra: Volume 2, Categories and Structures

Author: Francis Borceux

Publisher: Cambridge University Press


Category: Mathematics

Page: 443

View: 612

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.

Encyclopedia of Computer Science and Technology

Volume 21 - Supplement 6: ADA and Distributed Systems to Visual Languages

Author: Allen Kent

Publisher: CRC Press


Category: Computers

Page: 424

View: 926

"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."

Encyclopedia of Behavior Modification and Cognitive Behavior Therapy

Volume I: Adult Clinical Applications Volume II: Child Clinical Applications Volume III: Educational Applications

Author: Michel Hersen

Publisher: SAGE Publications


Category: Psychology

Page: 1856

View: 174

The three-volume Encyclopedia of Behavior Modification and Cognitive Behavior Therapy provides a thorough examination of the components of behavior modification, behavior therapy, cognitive behavior therapy, and applied behavior analysis for both child and adult populations in a variety of settings. Although the focus is on technical applications, entries also provide the historical context in which behavior therapists have worked, including research issues and strategies. Entries on assessment, ethical concerns, theoretical differences, and the unique contributions of key figures in the movement (including B. F. Skinner, Joseph Wolpe, Aaron T. Beck, and many others) are also included. No other reference source provides such comprehensive treatment of behavior modification—history, biography, theory, and application.

Bulletin of the Institute of Combinatorics and Its Applications




Category: Combinatorial analysis


View: 300

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