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Author : Clive Reis
Publisher :
ISBN 13 : 9787576706284
Total Pages : 0 pages
Book Rating : 4.7/5 (62 download)
Download or read book Abstract Algebra written by Clive Reis and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karlheinz Spindler
Publisher : CRC Press
ISBN 13 : 9780824791599
Total Pages : 554 pages
Book Rating : 4.7/5 (915 download)
Download or read book Abstract Algebra with Applications written by Karlheinz Spindler and published by CRC Press. This book was released on 1993-10-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.
Author : Clive Reis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814730564
Total Pages : 576 pages
Book Rating : 4.8/5 (147 download)
Download or read book Abstract Algebra written by Clive Reis and published by World Scientific Publishing Company. This book was released on 2016-08-30 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata. This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya–Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems. Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced — via congruence classes — to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless. In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible.
Author : Thomas Judson
Publisher : Orthogonal Publishing L3c
ISBN 13 : 9781944325190
Total Pages : 0 pages
Book Rating : 4.3/5 (251 download)
Download or read book Abstract Algebra written by Thomas Judson and published by Orthogonal Publishing L3c. This book was released on 2023-08-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
Author : Clive Reis
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100710
Total Pages : 508 pages
Book Rating : 4.8/5 (131 download)
Download or read book Abstract Algebra written by Clive Reis and published by World Scientific Publishing Company. This book was released on 2011-05-05 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya–Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems. Considerable emphasis is placed on the algebraic system consisting of congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced — via congruence classes — to the idea of cosets and factor groups. This enables the transition to cosets and factor objects in a more abstract setting to be relatively painless. The chapters dealing with applications help to reinforce the concepts and methods developed in the context of more down-to-earth problems. Most introductory texts in abstract algebra either avoid cosets, factor objects and homomorphisms completely or introduce them towards the end of the book. In this book, these topics are dealt with early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible, even if there are alternative methods of proof.
Author : R. B. J. T. Allenby
Publisher : Hodder Education
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (321 download)
Download or read book Rings, Fields and Groups written by R. B. J. T. Allenby and published by Hodder Education. This book was released on 1983 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a stimulating and unusiual introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses in universities and polytechnics. The mixture of informal and formal presentation generates the enthusiasm of the reader without neglecting the axiomatic approach necessary for the serious study.
Author : Clive Reis
Publisher : World Scientific
ISBN 13 : 9814335649
Total Pages : 509 pages
Book Rating : 4.8/5 (143 download)
Download or read book Abstract Algebra written by Clive Reis and published by World Scientific. This book was released on 2011 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for second to fourth year undergraduates, this title contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space.
Author : Karlheinz Spindler
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)
Download or read book Abstract Algebra with Applications: Rings and fields written by Karlheinz Spindler and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Howard Weintraub
Publisher : World Scientific
ISBN 13 : 9811246688
Total Pages : 438 pages
Book Rating : 4.8/5 (112 download)
Download or read book Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields written by Steven Howard Weintraub and published by World Scientific. This book was released on 2022-05-25 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level.It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers.In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory.As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat's theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular.Each of its chapters concludes with a variety of exercises ranging from the straightforward to the challenging in order to reinforce students' knowledge of the subject. Some of these are particular examples that illustrate the theory while others are general results that develop the theory further.
Author : Audrey Terras
Publisher : Cambridge University Press
ISBN 13 : 1107164079
Total Pages : 331 pages
Book Rating : 4.1/5 (71 download)
Download or read book Abstract Algebra with Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 2018-12-20 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.
Author : Karlheinz Spindler
Publisher : Routledge
ISBN 13 : 135146924X
Total Pages : 554 pages
Book Rating : 4.3/5 (514 download)
Download or read book Abstract Algebra with Applications written by Karlheinz Spindler and published by Routledge. This book was released on 2018-05-04 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.
Author : Shahriar Shahriar
Publisher : American Mathematical Soc.
ISBN 13 : 1470428490
Total Pages : 675 pages
Book Rating : 4.4/5 (74 download)
Download or read book Algebra in Action: A Course in Groups, Rings, and Fields written by Shahriar Shahriar and published by American Mathematical Soc.. This book was released on 2017-08-16 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
Author : Stephen Lovett
Publisher : CRC Press
ISBN 13 : 1482248913
Total Pages : 720 pages
Book Rating : 4.4/5 (822 download)
Download or read book Abstract Algebra written by Stephen Lovett and published by CRC Press. This book was released on 2015-07-13 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Discovery-Based Approach to Learning about Algebraic Structures Abstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester introductory course to a full two-semester sequence. The book presents the core topics of structures in a consistent order: Definition of structure Motivation Examples General properties Important objects Description Subobjects Morphisms Subclasses Quotient objects Action structures Applications The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics. "Lovett (Wheaton College) takes readers through the variegated landscape of algebra, from elementary modular arithmetic through groups, semigroups, and monoids, past rings and fields and group actions, beyond modules and algebras, to Galois theory, multivariable polynomial rings, and Gröbner bases." Choice Reviewed: Recommended
Author : Jeremy Kepner
Publisher : SIAM
ISBN 13 : 9780898719918
Total Pages : 388 pages
Book Rating : 4.7/5 (199 download)
Download or read book Graph Algorithms in the Language of Linear Algebra written by Jeremy Kepner and published by SIAM. This book was released on 2011-01-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.
Author : Daniel G. Coronell
Publisher : CRC Press
ISBN 13 : 1584885157
Total Pages : 693 pages
Book Rating : 4.5/5 (848 download)
Download or read book Introduction to MATLAB with Applications for Chemical and Mechanical Engineers written by Daniel G. Coronell and published by CRC Press. This book was released on 2015-10-15 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to MATLAB with Applications for Chemical and Mechanical Engineers provides applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. The book features a section on input, output, and storage of data as well as a section on data analysis and parameter estimation that contains statistical analysis, curve fitting optimization, and error analysis. Many applied case studies are included from the engineering disciplines. It also offers instruction on the use of the MATLAB® optimization toolbox. With a CD-ROM of MATLAB programs, this text is essential for chemical engineers, mechanical engineers, applied mathematicians, and students.
Author : William J Gilbert
Publisher : John Wiley & Sons
ISBN 13 : 9788126518302
Total Pages : 366 pages
Book Rating : 4.5/5 (183 download)
Download or read book MODERN ALGEBRA WITH APPLICATIONS written by William J Gilbert and published by John Wiley & Sons. This book was released on 2008-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: Upper undergraduate and graduate level modern algebra courses Special Features: · Includes applications so students can see right away how to use the theory· This classic text has sold almost 12,000 units· Contains numerous examples· Includes chapters on Boolean Algebras, groups, quotient groups, symmetry groups in three dimensions, Polya-Burnside method of enumeration, monoids and machines, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, Latin squares, geometrical constructions, and error-correcting codes· Andwers to odd-numbered exercises so students can check their work About The Book: The book covers all the group, ring, and field theory that is usually contained in a standard modern algebra course; the exact sections containing this material are indicated in the Table of Contents. It stops short of the Sylow theorems and Galois theory. These topics could only be touched on in a first course, and the author feels that more time should be spent on them if they are to be appreciated.
Author : Clive Reis
Publisher :
ISBN 13 : 9789814730556
Total Pages : 574 pages
Book Rating : 4.7/5 (35 download)
Download or read book Abstract Algebra written by Clive Reis and published by . This book was released on 2016 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
