Fundamentals to Advanced Ideas in Algebraic Structure PDF Download

Author: Dr.S.Vimala
Publisher: Leilani Katie Publication
ISBN: 9363488454
Category : Mathematics
Languages : en
Pages : 108

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Book Description
Dr.S.Vimala, Assistant Professor, Department of Mathematics, Mother Teresa Women's University, Kodaikanal, Tamil Nadu, India. Dr.S.Dhanalakshmi, Indian Institute of Information Technology Design and Manufacturing Kancheepuram (IIITD&M K), Chennai, Tamil Nadu, India.

Author: Henri Bourles
Publisher: Elsevier
ISBN: 0081021127
Category : Mathematics
Languages : en
Pages : 270

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Book Description
This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. - Part of the New Mathematical Methods, Systems, and Applications series - Presents the notions, results, and proofs necessary to understand and master the various topics - Provides a unified notation, making the task easier for the reader. - Includes several summaries of mathematics for engineers

Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486318117
Category : Mathematics
Languages : en
Pages : 434

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Book Description
Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.

Author: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 0817683011
Category : Mathematics
Languages : en
Pages : 385

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Book Description
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.

Author: Bruce Elwyn Meserve
Publisher: Courier Corporation
ISBN: 9780486614700
Category : Mathematics
Languages : en
Pages : 324

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Book Description
Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817646132
Category : Mathematics
Languages : en
Pages : 757

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Book Description
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

Author: Leo Corry
Publisher: Birkhäuser
ISBN: 3034879172
Category : Mathematics
Languages : en
Pages : 463

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Book Description
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.

Author: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
ISBN: 9780821834138
Category : Mathematics
Languages : en
Pages : 532

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Book Description
Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.

Author: Jaakko Astola
Publisher: Springer Science & Business Media
ISBN: 0387285938
Category : Technology & Engineering
Languages : en
Pages : 352

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Book Description
Fundamentals of Switching Theory and Logic Design discusses the basics of switching theory and logic design from a slightly alternative point of view and also presents links between switching theory and related areas of signal processing and system theory. Switching theory is a branch of applied mathematic providing mathematical foundations for logic design, which can be considered as a part of digital system design concerning realizations of systems whose inputs and outputs are described by logic functions.