Author : John Knopfmacher
Publisher : CRC Press
Page : 418 pages
File Size : 13,22 MB
Release : 2001-04-10
Category : Mathematics
ISBN : 0203908155
"Number Theory Arising from Finite Fields: Analytic and Probabilistic Theory" offers a discussion of the advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions
Author : Michael Rosen
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 15,59 MB
Release : 2013-04-18
Category : Mathematics
ISBN : 1475760469
Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.
Author : Peter Webb
Publisher : Cambridge University Press
Page : 339 pages
File Size : 13,88 MB
Release : 2016-08-19
Category : Mathematics
ISBN : 1107162394
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Author : Rudolf Lidl
Publisher : Cambridge University Press
Page : 784 pages
File Size : 18,82 MB
Release : 1997
Category : Mathematics
ISBN : 9780521392310
This book is devoted entirely to the theory of finite fields.
Author : Andrei Kelarev
Publisher : CRC Press
Page : 388 pages
File Size : 46,27 MB
Release : 2003-07-08
Category : Mathematics
ISBN : 9780824747084
Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra. They are used to identify nontrivial connections across notions, expose conceptual properties, and mediate the application of methods from one area toward questions of the other four. After a concentrated review of the prerequisite mathematical background, Graph Algebras and Automata defines graph algebras and reveals their applicability to automata theory. It proceeds to explore assorted monoids, semigroups, rings, codes, and other algebraic structures and to outline theorems and algorithms for finite state automata and grammars.
Author : Martin J. Corless
Publisher : CRC Press
Page : 368 pages
File Size : 29,21 MB
Release : 2003-03-27
Category : Mathematics
ISBN : 9780203911372
Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
Author : A.A. Martynyuk
Publisher : CRC Press
Page : 320 pages
File Size : 32,87 MB
Release : 2001-11-05
Category : Mathematics
ISBN : 1482294745
"Presents new approaches to qualitative analysis of continuous, discreteptime, and impulsive nonlinear systems via Liapunov matrix-valued functions that introduce more effective tests for solving problems of estimating the domains of asymptotic stability."
Author : Jeffrey R. Weeks
Publisher : CRC Press
Page : 405 pages
File Size : 47,8 MB
Release : 2001-12-12
Category : Mathematics
ISBN : 0203912667
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Author : Andras Bezdek
Publisher : CRC Press
Page : 492 pages
File Size : 44,97 MB
Release : 2003-02-04
Category : Mathematics
ISBN : 9780203911211
Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analy
Author : Stefaan Caenepeel
Publisher : CRC Press
Page : 344 pages
File Size : 49,75 MB
Release : 2019-05-07
Category : Mathematics
ISBN : 1482276712
This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the
