Groups Rings And Galois Theory

Author : Victor Percy Snaith
Publisher : World Scientific
ISBN 13 : 9789812386007
Total Pages : 234 pages
Book Rating : 4.09/5 ( download)

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Download or read book Groups, Rings and Galois Theory written by Victor Percy Snaith and published by World Scientific. This book was released on 2003 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups ? including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.

Author : Victor P Snaith
Publisher : World Scientific Publishing Company
ISBN 13 : 9813102233
Total Pages : 230 pages
Book Rating : 4.31/5 ( download)

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Download or read book Groups, Rings And Galois Theory (2nd Edition) written by Victor P Snaith and published by World Scientific Publishing Company. This book was released on 2003-09-29 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups — including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student-instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.

Author : R. B. J. T. Allenby
Publisher : Butterworth-Heinemann
ISBN 13 : 9780340544402
Total Pages : 383 pages
Book Rating : 4.06/5 ( download)

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Download or read book Rings, Fields and Groups written by R. B. J. T. Allenby and published by Butterworth-Heinemann. This book was released on 1991 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses

Author : Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
ISBN 13 : 1614442118
Total Pages : 309 pages
Book Rating : 4.10/5 ( download)

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Download or read book A Guide to Groups, Rings, and Fields written by Fernando Q. Gouvêa and published by American Mathematical Soc.. This book was released on 2012-12-31 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.

Author : Francis Borceux
Publisher : Cambridge University Press
ISBN 13 : 9780521803090
Total Pages : 360 pages
Book Rating : 4.98/5 ( download)

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Download or read book Galois Theories written by Francis Borceux and published by Cambridge University Press. This book was released on 2001-02-22 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops Galois theory in a more general context, emphasizing category theory.

Author : Victor Percy Snaith
Publisher :
ISBN 13 : 9789812816139
Total Pages : pages
Book Rating : 4.35/5 ( download)

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Download or read book Groups, Rings and Galois Theory written by Victor Percy Snaith and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Simeon Ivanov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831403
Total Pages : 290 pages
Book Rating : 4.02/5 ( download)

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Download or read book Galois Theory, Rings, Algebraic Groups and Their Applications written by Simeon Ivanov and published by American Mathematical Soc.. This book was released on 1992 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.

Author : Paolo Aluffi
Publisher : American Mathematical Soc.
ISBN 13 : 147046571X
Total Pages : 713 pages
Book Rating : 4.11/5 ( download)

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Download or read book Algebra: Chapter 0 written by Paolo Aluffi and published by American Mathematical Soc.. This book was released on 2021-11-09 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Author : Donald S. Passman
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.82/5 ( download)

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Download or read book Group Rings, Crossed Products, and Galois Theory written by Donald S. Passman and published by . This book was released on 1986 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: For readers with a basic graduate level background in algebra, these ten articles provide a readable introduction to three major interrelated subjects of noncommutative algebra. The theme is the interplay between group theory and ring theory, dealing specifically with group rings, crossed products, and the Galois theory of rings. The author has carefully included most definitions, to keep the required background minimal. Furthermore, each article contains a selection of results on the given topic, a limited number of proofs or sketches, and at least a few open problems.

Author : Maurice Kibler
Publisher : Elsevier
ISBN 13 : 0081023510
Total Pages : 270 pages
Book Rating : 4.18/5 ( download)

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Download or read book Galois Fields and Galois Rings Made Easy written by Maurice Kibler and published by Elsevier. This book was released on 2017-09-22 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics. The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access. This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering). Although the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics. Contains numerous examples that accompany the text Includes an important chapter on mutually unbiased bases Helps physicists and theoretical chemists understand this area of mathematics