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| Author | : R. B. J. T. Allenby |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 383 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : 9780340544402 |
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
| Author | : Irving Kaplansky |
| Publisher | : University of Chicago Press |
| Total Pages | : 217 |
| Release | : 1972 |
| Genre | : Mathematics |
| ISBN | : 0226424510 |
This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews
| Author | : Ken Levasseur |
| Publisher | : Lulu.com |
| Total Pages | : 574 |
| Release | : 2012-02-25 |
| Genre | : Applied mathematics |
| ISBN | : 1105559297 |
Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
| Author | : Bharath Sethuraman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 210 |
| Release | : 1996-11-26 |
| Genre | : Mathematics |
| ISBN | : 0387948481 |
Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.
| Author | : David A.R. Wallace |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1447104250 |
This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.
| Author | : Fernando Q. Gouvêa |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 309 |
| Release | : 2012-12-31 |
| Genre | : Mathematics |
| ISBN | : 1614442118 |
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
| Author | : Maurice Kibler |
| Publisher | : Elsevier |
| Total Pages | : 272 |
| Release | : 2017-09-22 |
| Genre | : Mathematics |
| ISBN | : 0081023510 |
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
| Author | : Zhe-Xian Wan |
| Publisher | : World Scientific |
| Total Pages | : 360 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9789812385703 |
This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.
| Author | : Marlow Anderson |
| Publisher | : CRC Press |
| Total Pages | : 684 |
| Release | : 2005-01-27 |
| Genre | : Mathematics |
| ISBN | : 1420057111 |
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
| Author | : Ramji Lal |
| Publisher | : Springer |
| Total Pages | : 439 |
| Release | : 2017-05-07 |
| Genre | : Mathematics |
| ISBN | : 9811042535 |
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
