Discrete Algebraic Methods

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Discrete Algebraic Methods

Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf
Discrete Algebraic Methods Book PDF

Author : Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf
Publisher : Walter de Gruyter GmbH & Co KG
Page : 354 pages
File Size : 54,5 Mb
Release : 2016-05-24
Category : Mathematics
ISBN : 9783110413335

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Discrete Algebraic Methods by Volker Diekert,Manfred Kufleitner,Gerhard Rosenberger,Ulrich Hertrampf Pdf

The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents: Algebraic structures Cryptography Number theoretic algorithms Polynomial time primality test Elliptic curves Combinatorics on words Automata Discrete infinite groups

Algebraic and Discrete Mathematical Methods for Modern Biology

Raina Robeva
Algebraic and Discrete Mathematical Methods for Modern Biology Book PDF

Author : Raina Robeva
Publisher : Academic Press
Page : 382 pages
File Size : 42,9 Mb
Release : 2015-05-09
Category : Mathematics
ISBN : 9780128012710

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Algebraic and Discrete Mathematical Methods for Modern Biology by Raina Robeva Pdf

Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. Examines significant questions in modern biology and their mathematical treatments Presents important mathematical concepts and tools in the context of essential biology Features material of interest to students in both mathematics and biology Presents chapters in modular format so coverage need not follow the Table of Contents Introduces projects appropriate for undergraduate research Utilizes freely accessible software for visualization, simulation, and analysis in modern biology Requires no calculus as a prerequisite Provides a complete Solutions Manual Features a companion website with supplementary resources

Polyhedral and Algebraic Methods in Computational Geometry

Michael Joswig,Thorsten Theobald
Polyhedral and Algebraic Methods in Computational Geometry Book PDF

Author : Michael Joswig,Thorsten Theobald
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 42,5 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9781447148173

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Polyhedral and Algebraic Methods in Computational Geometry by Michael Joswig,Thorsten Theobald Pdf

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Algebraic Methods in Statistics and Probability II

Marlos A. G. Viana
Algebraic Methods in Statistics and Probability II Book PDF

Author : Marlos A. G. Viana
Publisher : American Mathematical Soc.
Page : 358 pages
File Size : 51,8 Mb
Release : 2010
Category : Algebra
ISBN : 9780821848913

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Algebraic Methods in Statistics and Probability II by Marlos A. G. Viana Pdf

A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models. --

Algebraic Methods for Signal Processing and Communications Coding

Richard E. Blahut
Algebraic Methods for Signal Processing and Communications Coding Book PDF

Author : Richard E. Blahut
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461228264

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Algebraic Methods for Signal Processing and Communications Coding by Richard E. Blahut Pdf

Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.

Algebraic Methods in Physics

Yvan Saint-Aubin,Luc Vinet
Algebraic Methods in Physics Book PDF

Author : Yvan Saint-Aubin,Luc Vinet
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461301196

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Algebraic Methods in Physics by Yvan Saint-Aubin,Luc Vinet Pdf

This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.

Algebraic and Combinatorial Methods in Operations Research

R.E. Burkard,R.A. Cuninghame-Green,U. Zimmermann
Algebraic and Combinatorial Methods in Operations Research Book PDF

Author : R.E. Burkard,R.A. Cuninghame-Green,U. Zimmermann
Publisher : Elsevier
Page : 380 pages
File Size : 43,5 Mb
Release : 1984-01-01
Category : Mathematics
ISBN : 0080872069

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Algebraic and Combinatorial Methods in Operations Research by R.E. Burkard,R.A. Cuninghame-Green,U. Zimmermann Pdf

For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability. Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.

Discrete Mathematics and Algebraic Structures

Larry J. Gerstein
Discrete Mathematics and Algebraic Structures Book PDF

Author : Larry J. Gerstein
Publisher : W H Freeman & Company
Page : 413 pages
File Size : 44,8 Mb
Release : 1987-01-01
Category : Algebra, Abstract.
ISBN : 0716718049

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Discrete Mathematics and Algebraic Structures by Larry J. Gerstein Pdf

Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.

Algebraic Identification and Estimation Methods in Feedback Control Systems

Hebertt Sira-Ramírez,Carlos García Rodríguez,John Cortés Romero,Alberto Luviano Juárez
Algebraic Identification and Estimation Methods in Feedback Control Systems Book PDF

Author : Hebertt Sira-Ramírez,Carlos García Rodríguez,John Cortés Romero,Alberto Luviano Juárez
Publisher : John Wiley & Sons
Page : 498 pages
File Size : 46,6 Mb
Release : 2014-03-13
Category : Technology & Engineering
ISBN : 9781118730584

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Algebraic Identification and Estimation Methods in Feedback Control Systems by Hebertt Sira-Ramírez,Carlos García Rodríguez,John Cortés Romero,Alberto Luviano Juárez Pdf

Algebraic Identification and Estimation Methods in Feedback Control Systems presents a model-based algebraic approach to online parameter and state estimation in uncertain dynamic feedback control systems. This approach evades the mathematical intricacies of the traditional stochastic approach, proposing a direct model-based scheme with several easy-to-implement computational advantages. The approach can be used with continuous and discrete, linear and nonlinear, mono-variable and multi-variable systems. The estimators based on this approach are not of asymptotic nature, and do not require any statistical knowledge of the corrupting noises to achieve good performance in a noisy environment. These estimators are fast, robust to structured perturbations, and easy to combine with classical or sophisticated control laws. This book uses module theory, differential algebra, and operational calculus in an easy-to-understand manner and also details how to apply these in the context of feedback control systems. A wide variety of examples, including mechanical systems, power converters, electric motors, and chaotic systems, are also included to illustrate the algebraic methodology. Key features: Presents a radically new approach to online parameter and state estimation. Enables the reader to master the use and understand the consequences of the highly theoretical differential algebraic viewpoint in control systems theory. Includes examples in a variety of physical applications with experimental results. Covers the latest developments and applications. Algebraic Identification and Estimation Methods in Feedback Control Systems is a comprehensive reference for researchers and practitioners working in the area of automatic control, and is also a useful source of information for graduate and undergraduate students.

Discrete Calculus

Carlo Mariconda,Alberto Tonolo
Discrete Calculus Book PDF

Author : Carlo Mariconda,Alberto Tonolo
Publisher : Springer
Page : 659 pages
File Size : 50,8 Mb
Release : 2016-12-01
Category : Mathematics
ISBN : 9783319030388

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Discrete Calculus by Carlo Mariconda,Alberto Tonolo Pdf

This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet user-friendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 400 examples and about 300 problems, and the reader will be able to find the proof of every result. To further assist students and teachers, important matters and comments are highlighted, and parts that can be omitted, at least during a first and perhaps second reading, are identified.

Algebraic Methods in Statistics and Probability

Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards
Algebraic Methods in Statistics and Probability Book PDF

Author : Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 41,7 Mb
Release : 2001
Category : Algebra
ISBN : 9780821826874

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Algebraic Methods in Statistics and Probability by Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards Pdf

The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Algebraic Curves in Cryptography

San Ling,Huaxiong Wang,Chaoping Xing
Algebraic Curves in Cryptography Book PDF

Author : San Ling,Huaxiong Wang,Chaoping Xing
Publisher : CRC Press
Page : 340 pages
File Size : 51,9 Mb
Release : 2013-06-13
Category : Computers
ISBN : 9781420079470

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Algebraic Curves in Cryptography by San Ling,Huaxiong Wang,Chaoping Xing Pdf

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh

Algebraic Methods in General Rough Sets

A. Mani,Gianpiero Cattaneo,Ivo Düntsch
Algebraic Methods in General Rough Sets Book PDF

Author : A. Mani,Gianpiero Cattaneo,Ivo Düntsch
Publisher : Springer
Page : 733 pages
File Size : 43,6 Mb
Release : 2019-01-11
Category : Mathematics
ISBN : 9783030011628

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Algebraic Methods in General Rough Sets by A. Mani,Gianpiero Cattaneo,Ivo Düntsch Pdf

This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.

Relational and Algebraic Methods in Computer Science

Harrie de Swart
Relational and Algebraic Methods in Computer Science Book PDF

Author : Harrie de Swart
Publisher : Springer
Page : 363 pages
File Size : 47,7 Mb
Release : 2011-06-07
Category : Mathematics
ISBN : 9783642210709

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Relational and Algebraic Methods in Computer Science by Harrie de Swart Pdf

This book constitutes the proceedings of the 12 International Conference on Relational and Algebraic Methods in Computer Science, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011. This conference merges the RelMICS (Relational Methods in Computer Science) and AKA (Applications of Kleene Algebra) conferences, which have been a main forum for researchers who use the calculus of relations and similar algebraic formalisms as methodological and conceptual tools. Relational and algebraic methods and software tools turn out to be useful for solving problems in social choice and game theory. For that reason this conference included a special track on Computational Social Choice and Social Software. The 18 papers included were carefully reviewed and selected from 27 submissions. In addition the volume contains 2 invited tutorials and 5 invited talks.

Combinatorial Methods with Computer Applications

Jonathan L. Gross
Combinatorial Methods with Computer Applications Book PDF

Author : Jonathan L. Gross
Publisher : CRC Press
Page : 664 pages
File Size : 43,8 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781584887447

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Combinatorial Methods with Computer Applications by Jonathan L. Gross Pdf

Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat