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Galois fields and Galois rings made easy /

Annotation

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kibler, Maurice (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, 2017.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 0081023510  |q (ePub ebook) 
020 |z 9781785482359  |q (hbk.) 
020 |z 1785482351 
035 |a (OCoLC)1005607910  |z (OCoLC)1004739054  |z (OCoLC)1004830792  |z (OCoLC)1105174584  |z (OCoLC)1105570904 
050 4 |a QA214 
072 7 |a MAT  |x 002040  |2 bisacsh 
082 0 4 |a 512.32  |2 23 
100 1 |a Kibler, Maurice,  |e author. 
245 1 0 |a Galois fields and Galois rings made easy /  |c Maurice Kibler. 
264 1 |a Amsterdam :  |b Elsevier,  |c 2017. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
500 |a The Structures of Ring and Field Galois Fields Galois Rings Mutually Unbiased Bases Appendix on Number Theory and Group Theory. 
588 0 |a CIP data; resource not viewed. 
505 0 |a Front Cover; Dedication ; Galois Fields and Galois Rings Made Easy; Copyright ; Contents; Acknowledgments; Preface; List of Mathematical Symbols; Sets; Numbers; Matrices; Groups; Rings; Fields; 1. The Structures of Ring and Field; 1.1. Rings; 1.2. Fields; 2. Galois Fields; 2.1. Generalities; 2.2. Extension of a field: a typical example; 2.3. Extension of a field: the general case; 2.4. Sub-field of a Galois field; 2.5. Factorizations; 2.6. The application trace for a Galois field; 2.7. Bases of a Galois field; 2.8. Characters of a Galois field; 2.9. Gaussian sums over Galois fields. 
505 8 |a 3. Galois Rings3.1. Generalities; 3.2. Construction of a Galois ring; 3.3. Examples and counter-examples of Galois rings; 3.4. The application trace for a Galois ring; 3.5. Characters of a Galois ring; 3.6. Gaussian sums over Galois rings; 4. Mutually Unbiased Bases; 4.1. Generalities; 4.2. Quantum angular momentum bases; 4.3. SU(2) approach to mutually unbiased bases; 4.4. Galois field approach to mutually unbiased bases; 4.5. Galois ring approach to mutually unbiased bases; 5. Appendix on Number Theory and Group Theory; 5.1. Elements of number theory; 5.2. Elements of group theory. 
504 |a Includes bibliographical references and index. 
520 8 |a Annotation  |b Presents physicists and theoretical chemists with discussions from the field of mathematics. The bodies and Galois rings are an important field of pure mathematics. In recent years, they have proven to be very useful in theoretical physics, especially in the field of the theory of quantum information. Unfortunately, the literature on body and Galois rings is primarily made for mathematicians and is difficult to access for physicists, hence the need for this timely book. 
650 0 |a Galois theory. 
650 0 |a Rings (Algebra) 
650 6 |a Th�eorie de Galois.  |0 (CaQQLa)201-0075830 
650 6 |a Anneaux (Alg�ebre)  |0 (CaQQLa)201-0001198 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Rings (Algebra)  |2 fast  |0 (OCoLC)fst01098024 
650 7 |a Galois theory  |2 fast  |0 (OCoLC)fst00937326 
776 0 8 |i Print version :  |z 9781785482359 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9781785482359  |z Texto completo