finite fields encyclopedia of mathematics and its applications

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Finite Fields

Author : Rudolf Lidl
ISBN : 0521392314
Genre : Mathematics
File Size : 46. 67 MB
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This book is devoted entirely to the theory of finite fields.

Handbook Of Finite Fields

Author : Gary L. Mullen
ISBN : 9781439873823
Genre : Computers
File Size : 53. 19 MB
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Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.

Finite Fields And Applications

Author : Dieter Jungnickel
ISBN : 9783642567551
Genre : Mathematics
File Size : 35. 59 MB
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Finite Fields And Applications

Author : Gary L. Mullen
ISBN : 9783540246336
Genre : Mathematics
File Size : 83. 65 MB
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Skew Fields

Author : Paul Moritz Cohn
ISBN : 0521432170
Genre : Mathematics
File Size : 34. 79 MB
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This work offers a comprehensive account of skew fields and related mathematics.

Computation With Finitely Presented Groups

Author : Charles C. Sims
ISBN : 0521432138
Genre : Mathematics
File Size : 54. 85 MB
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Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.

Finite Ordered Sets

Author : Nathalie Caspard
ISBN : 9781107013698
Genre : Mathematics
File Size : 60. 97 MB
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A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.

Stochastic Equations In Infinite Dimensions

Author : Giuseppe Da Prato
ISBN : 9781139917155
Genre : Mathematics
File Size : 45. 35 MB
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Now in its second edition, this book gives a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. In the first part the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and the third concerns the qualitative properties of those solutions. Appendices gather together background results from analysis that are otherwise hard to find under one roof. This revised edition includes two brand new chapters surveying recent developments in the area and an even more comprehensive bibliography, making this book an essential and up-to-date resource for all those working in stochastic differential equations.

Representations And Invariants Of The Classical Groups

Author : Roe Goodman
ISBN : 0521663482
Genre : Mathematics
File Size : 22. 10 MB
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Presents an updated version of Weyl's invariant theory of the classical groups, together with many of the important recent developments.

Field Extensions And Galois Theory

Author : Julio R. Bastida
ISBN : 0201135213
Genre : Extensions de corps (Mathématiques)
File Size : 71. 64 MB
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