Arithmetic, geometry, cryptography and coding theory, 

Автор: McKean Henry, Moll Victor
Название: Elliptic Curves: Function Theory, Geometry, Arithmetic
ISBN: 0521658179 ISBN-13(EAN): 9780521658171
Издательство: Cambridge Academ
Цена: 8712.00 р.
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Описание: This 1997 book presents the subject of elliptic curves in the style of its nineteenth-century discoverers, with references to and comments about more modern developments. Requiring only a first acquaintance with complex function theory, it is an ideal introduction to the subject for students of mathematics and physics.

Автор: Dieulefait
Название: Arithmetic and Geometry
ISBN: 1107462541 ISBN-13(EAN): 9781107462540
Издательство: Cambridge Academ
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Цена: 12197.00 р.
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Описание: In this proceedings volume leading authorities describe the state of the art in number theory, particularly Diophantine and arithmetic geometry. The book gives an excellent overview of the subject for graduate students and it is essential reading for researchers wishing to keep abreast of recent developments.

Автор: ?zg?r Ceyhan; Yu. I. Manin; Matilde Marcolli
Название: Arithmetic and Geometry Around Quantization
ISBN: 0817648305 ISBN-13(EAN): 9780817648305
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

This volume comprises both research and survey articles originating from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered, thus aiming to give a glimpse of a broad subject in very different perspectives.

Автор: Gebhard B?ckle; David Burns; David Goss; Dinesh Th
Название: Arithmetic Geometry over Global Function Fields
ISBN: 3034808526 ISBN-13(EAN): 9783034808521
Издательство: Springer
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Цена: 5589.00 р.
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Описание: Arithmetic Geometry over Global Function Fields

Автор: Radu Laza; Matthias Sch?tt; Noriko Yui
Название: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
ISBN: 1489999183 ISBN-13(EAN): 9781489999184
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Arising from a 2011 workshop at the Fields Institute, this book reviews Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds. Offers lectures and papers on arithmetic and algebraic geometry, differential geometry, mathematical physics and more.

Автор: Jiri Herman; K. Dilcher; Radan Kucera; Jaromir Sim
Название: Counting and Configurations
ISBN: 0387955526 ISBN-13(EAN): 9780387955520
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. This book features approximately 310 examples and 650 exercises.

Автор: B. Brent Gordon; James D. Lewis; Stefan M?ller-Sta
Название: The Arithmetic and Geometry of Algebraic Cycles
ISBN: 0792361938 ISBN-13(EAN): 9780792361930
Издательство: Springer
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Цена: 38433.00 р.
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Описание: The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. This book offers students and specialists alike a perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, and K-theory methods.

Автор: Wilfred W. J. Hulsbergen
Название: Conjectures in Arithmetic Algebraic Geometry
ISBN: 3528064331 ISBN-13(EAN): 9783528064334
Издательство: Springer
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Цена: 7182.00 р.
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Описание: In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions. Another prominent appearance of an L-function is Riemann's paper where the now famous Riemann Hypothesis was stated. In short, nineteenth century number theory showed that much, if not all, of number theory is reflected by proper- ties of L-functions. Twentieth century number theory, class field theory and algebraic geometry only strengthen the nineteenth century number theorists's view. We just mention the work of E. Heeke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet's L-functions to obtain results on the distribution of primes in number fields. Artin introduced his L-functions as a non-abelian generaliza- tion of Dirichlet's L-functions with a generalization of class field the- ory to non-abelian Galois extensions of number fields in mind. Weil introduced his zeta-function for varieties over finite fields in relation to a problem in number theory.

Автор: Chris Christensen; Ganesh Sundaram; Avinash Sathay
Название: Algebra, Arithmetic and Geometry with Applications
ISBN: 3540004750 ISBN-13(EAN): 9783540004752
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Proceedings of the Conference on Algebra and Algebraic Geometry with Applications, July 19 - 26, 2000, at Purdue University to honor Professor Shreeram S. Sessions were held on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the Jacobian problem.

Автор: David Joyner
Название: Coding Theory and Cryptography
ISBN: 3540663363 ISBN-13(EAN): 9783540663362
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This text consists of elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory, and there is an emphasis on geometric Goppa codes and codes arising from combinatorial constructions.

Автор: Massimiliano Sala; Teo Mora; Ludovic Perret; Shoji
Название: Gr?bner Bases, Coding, and Cryptography
ISBN: 3642101003 ISBN-13(EAN): 9783642101007
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book is the first ever to give a comprehensive overview of the application of commutative algebra to coding theory and cryptography. In it, all important properties of algebraic/geometric coding systems are individually analyzed.

Автор: Jiri Herman; K. Dilcher; Radan Kucera; Jaromir Sim
Название: Counting and Configurations
ISBN: 1441930531 ISBN-13(EAN): 9781441930538
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry.