Galois Fields And Galois Rings Made Easy

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Author: Maurice Kibler
Publisher: Elsevier
ISBN: 0081023510
Size: 11.81 MB
Format: PDF, Mobi
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Galois Fields And Galois Rings Made Easy by Maurice Kibler

Original Title: Galois Fields And Galois Rings Made Easy

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

Classical Galois Theory

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Author: Lisl Gaal
Publisher: American Mathematical Soc.
ISBN: 0821813757
Size: 57.11 MB
Format: PDF, ePub
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Classical Galois Theory by Lisl Gaal

Original Title: Classical Galois Theory

Galois theory is considered one of the most beautiful subjects in mathematics, but it is hard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout this text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory.

Field Theory

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Author: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 0387276785
Size: 73.15 MB
Format: PDF, ePub, Docs
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Field Theory by Steven Roman

Original Title: Field Theory

"Springer has just released the second edition of Steven Roman’s Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all...a well-written expository account of a very exciting area in mathematics." --THE MAA MATHEMATICAL SCIENCES DIGITAL LIBRARY

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