Algebraic Geometry Codes: Advanced Chapters, Michael Tsfasman, Serge Vladut, Dmitry Nogin

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: Joseph J. Rotman
Название: Advanced Modern Algebra: Third Edition, Parts 1 and 2
ISBN: 1470441748 ISBN-13(EAN): 9781470441746
Издательство: Mare Nostrum (Eurospan)
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Цена: 172790.00 T
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Описание: This new edition, now in two parts, has been significantly reorganised and many sections have been rewritten. The first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. The second part presents many topics mentioned in the first part in greater depth and in more detail.

Автор: Andre Leroy, Christian Lomp, Sergio Lopez-Permouth, Frederique Oggier
Название: Rings, Modules and Codes
ISBN: 1470441047 ISBN-13(EAN): 9781470441043
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12-15, 2017, at the University of Artois, Lens, France.The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed-Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.

Автор: Horn
Название: Matrix Analysis
ISBN: 0521548233 ISBN-13(EAN): 9780521548236
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: The thoroughly revised and updated second edition of this acclaimed text for a second course on linear algebra has more than 1,100 problems and exercises, along with new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices and much more.

Автор: Bellamy
Название: Noncommutative Algebraic Geometry
ISBN: 1107129540 ISBN-13(EAN): 9781107129542
Издательство: Cambridge Academ
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Цена: 82370.00 T
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Описание: This book provides a comprehensive introduction to some of the most significant interactions between noncommutative algebra and representation theory and classical algebraic geometry, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.

Автор: Bullett Shaun Et Al
Название: Geometry In Advanced Pure Mathematics
ISBN: 1786341069 ISBN-13(EAN): 9781786341068
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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Описание:

This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces.

Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Автор: Ogus Arthur
Название: Cambridge Studies in Advanced Mathematics
ISBN: 1107187737 ISBN-13(EAN): 9781107187733
Издательство: Cambridge Academ
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Цена: 79200.00 T
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Описание: This textbook offers a self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It will be of use to graduate students and researchers interested in exploring the subject`s techniques and applications across a wide range of fields.

Автор: Daniel Gorenstein, Richard Lyons, Ronald Solomon
Название: The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7-11: The Generic Case, Stages 3b and 4a
ISBN: 082184069X ISBN-13(EAN): 9780821840696
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: The classification of finite simple groups is a landmark result of modern mathematics. The multipart series of monographs which is being published by the AMS (Volume 40.1-40.7 and future volumes) represents the culmination of a century-long project involving the efforts of scores of mathematicians published in hundreds of journal articles, books, and doctoral theses, totaling an estimated 15,000 pages. This part 7 of the series is the middle of a trilogy (Volume 40.5, Volume 40.7, and forthcoming Volume 40.8) treating the Generic Case, i.e., the identification of the alternating groups of degree at least 13 and most of the finite simple groups of Lie type and Lie rank at least 4. Moreover, Volumes 40.4-40.8 of this series will provide a complete treatment of the simple groups of odd type, i.e., the alternating groups (with two exceptions) and the groups of Lie type defined over a finite field of odd order, as well as some of the sporadic simple groups. In particular, this volume completes the construction, begun in Volume 40.5, of a collection of neighboring centralizers of a particularly nice form. All of this is then applied to complete the identification of the alternating groups of degree at least 13.The book is suitable for graduate students and researchers interested in the theory of finite groups.

Автор: Daniel Gorenstein, Richard Lyons, Ronald Solomon
Название: The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12-17: The Generic Case, Completed
ISBN: 1470441896 ISBN-13(EAN): 9781470441890
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series--the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups.Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.

Автор: Liu, Qing
Название: Algebraic Geometry and Arithmetic Curves
ISBN: 0199202494 ISBN-13(EAN): 9780199202492
Издательство: Oxford Academ
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Цена: 80250.00 T
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Описание: This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

Автор: Tapp, Kristopher
Название: Matrix groups for undergraduates
ISBN: 1470427222 ISBN-13(EAN): 9781470427221
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
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Описание: Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups.Matrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intuition to describe the basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, maximal tori, homogeneous spaces, and roots.This second edition includes two new chapters that allow for an easier transition to the general theory of Lie groups.

Автор: Landsberg JM
Название: Geometry and Complexity Theory
ISBN: 1107199239 ISBN-13(EAN): 9781107199231
Издательство: Cambridge Academ
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Цена: 64410.00 T
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Описание: A comprehensive introduction to algebraic geometry and representation theory written by a leading expert in the field. For graduate students and researchers in computer science and mathematics, the book demonstrates state-of-the-art techniques to solve real world problems, focusing on P vs NP and the complexity of matrix multiplication.