Recent Research on Pure and Applied Algebra

Recent Research on Pure and Applied Algebra PDF Author: Omar Pordavi
Publisher: Nova Publishers
ISBN: 9781590335789
Category : Mathematics
Languages : en
Pages : 168

Get Book Here

Book Description
This volume gathers results in pure and applied algebra from researchers around the globe. The selection of these papers was carried out under the auspices of a special editorial board.

Recent Research on Pure and Applied Algebra

Recent Research on Pure and Applied Algebra PDF Author: Omar Pordavi
Publisher: Nova Publishers
ISBN: 9781590335789
Category : Mathematics
Languages : en
Pages : 168

Get Book Here

Book Description
This volume gathers results in pure and applied algebra from researchers around the globe. The selection of these papers was carried out under the auspices of a special editorial board.

Recent Advances in Pure and Applied Mathematics

Recent Advances in Pure and Applied Mathematics PDF Author: Francisco Ortegón Gallego
Publisher:
ISBN: 9783030413224
Category : Mathematics
Languages : en
Pages : 0

Get Book Here

Book Description
This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control in real world problems such as fluid mechanics, the numerical simulation of cancer PDE models, and the stability of certain dynamical systems. The book is based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, held in Cádiz in December 2018, which brought together more than 330 delegates from around the world. All works were subjected to a blind peer review process. The book offers an excellent summary of the recent activity of Spanish and Brazilian research groups and will be of interest to researchers, PhD students, and graduate scholars seeking up-to-date knowledge on these pure and applied mathematics subjects.

Algebra

Algebra PDF Author: Aigli Papantonopoulou
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 584

Get Book Here

Book Description
This book provides thorough coverage of the main topics of abstract algebra while offering nearly 100 pages of applications. Arepetition andexamples first approach introduces learners to mathematical rigor and abstraction while teaching them the basic notions and results of modern algebra. Chapter topics include group theory, direct products and Abelian groups, rings and fields, geometric constructions, historical notes, symmetries, and coding theory. For future teachers of algebra and geometry at the high school level.

Real Linear Algebra

Real Linear Algebra PDF Author: Antal E. Fekete
Publisher: CRC Press
ISBN: 9780824772383
Category : Mathematics
Languages : en
Pages : 464

Get Book Here

Book Description


Logic and Algebra

Logic and Algebra PDF Author: Aldo Ursini
Publisher: Routledge
ISBN: 1351434721
Category : Mathematics
Languages : en
Pages : 727

Get Book Here

Book Description
""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.

Categorical Perspectives

Categorical Perspectives PDF Author: Jürgen Koslowski
Publisher: Springer Science & Business Media
ISBN: 9780817641863
Category : Mathematics
Languages : en
Pages : 302

Get Book Here

Book Description
"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas. Contributors: H.L. Bentley * G. Castellini * R. El Bashir * H. Herrlich * M. Husek * L. Janos * J. Koslowski * V.A. Lemin * A. Melton * G. Preuá * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina

Recent Advances in Pure and Applied Mathematics

Recent Advances in Pure and Applied Mathematics PDF Author: Francisco Ortegón Gallego
Publisher: Springer Nature
ISBN: 3030413217
Category : Mathematics
Languages : en
Pages : 186

Get Book Here

Book Description
This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control in real world problems such as fluid mechanics, the numerical simulation of cancer PDE models, and the stability of certain dynamical systems. The book is based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, held in Cádiz in December 2018, which brought together more than 330 delegates from around the world. All works were subjected to a blind peer review process. The book offers an excellent summary of the recent activity of Spanish and Brazilian research groups and will be of interest to researchers, PhD students, and graduate scholars seeking up-to-date knowledge on these pure and applied mathematics subjects.

Applied Algebra

Applied Algebra PDF Author: Darel W. Hardy
Publisher: CRC Press
ISBN: 1439894698
Category : Computers
Languages : en
Pages : 425

Get Book Here

Book Description
Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra. While the content has been reworked and improved, this edition continues to cover many algorithms that arise in cryptography and error-control codes. New to the Second Edition Downloadable resources containing an interactive version of the book that is powered by Scientific Notebook®, a mathematical word processor and easy-to-use computer algebra system New appendix that reviews prerequisite topics in algebra and number theory Double the number of exercises Instead of a general study on finite groups, the book considers finite groups of permutations and develops just enough of the theory of finite fields to facilitate construction of the fields used for error-control codes and the Advanced Encryption Standard. It also deals with integers and polynomials. Explaining the mathematics as needed, this text thoroughly explores how mathematical techniques can be used to solve practical problems. About the AuthorsDarel W. Hardy is Professor Emeritus in the Department of Mathematics at Colorado State University. His research interests include applied algebra and semigroups. Fred Richman is a professor in the Department of Mathematical Sciences at Florida Atlantic University. His research interests include Abelian group theory and constructive mathematics. Carol L. Walker is Associate Dean Emeritus in the Department of Mathematical Sciences at New Mexico State University. Her research interests include Abelian group theory, applications of homological algebra and category theory, and the mathematics of fuzzy sets and fuzzy logic.

Universal Algebra

Universal Algebra PDF Author: Clifford Bergman
Publisher: CRC Press
ISBN: 1439851298
Category : Computers
Languages : en
Pages : 324

Get Book Here

Book Description
Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author’s two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts of universal algebra and by introducing a variety of recent research topics. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products, isomorphism theorems, a clone of operations, terms, free algebras, Birkhoff’s theorem, and standard Maltsev conditions. The second part covers topics that demonstrate the power and breadth of the subject. The author discusses the consequences of Jónsson’s lemma, finitely and nonfinitely based algebras, definable principal congruences, and the work of Foster and Pixley on primal and quasiprimal algebras. He also includes a proof of Murskiĭ’s theorem on primal algebras and presents McKenzie’s characterization of directly representable varieties, which clearly shows the power of the universal algebraic toolbox. The last chapter covers the rudiments of tame congruence theory. Throughout the text, a series of examples illustrates concepts as they are introduced and helps students understand how universal algebra sheds light on topics they have already studied, such as Abelian groups and commutative rings. Suitable for newcomers to the field, the book also includes carefully selected exercises that reinforce the concepts and push students to a deeper understanding of the theorems and techniques.

Abstract Algebra

Abstract Algebra PDF Author: Claudia Menini
Publisher: CRC Press
ISBN: 9780824709853
Category : Mathematics
Languages : en
Pages : 784

Get Book Here

Book Description
In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.