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Computational Algebra and Number Theory, Wieb Bosma; Alf van der Poorten


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Автор: Wieb Bosma; Alf van der Poorten
Название:  Computational Algebra and Number Theory
ISBN: 9780792335016
Издательство: Springer
Классификация:
ISBN-10: 0792335015
Обложка/Формат: Hardcover
Страницы: 322
Вес: 0.65 кг.
Дата издания: 31.05.1995
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 21
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This text discusses the impact of computer applications on mathematical study. Topics discussed include: the analysis of algorithms; the creation of new paradigms for implementing computational methods; and the viewing of old methods from a concrete algorithmic vantage point.


Computational Methods Of Linear Algebra (3Rd Edition)

Автор: Sewell Granville
Название: Computational Methods Of Linear Algebra (3Rd Edition)
ISBN: 9814603856 ISBN-13(EAN): 9789814603850
Издательство: World Scientific Publishing
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Цена: 11563.00 р.
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Описание: This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems.

Computational Linear and Commutative Algebra

Автор: Kreuzer
Название: Computational Linear and Commutative Algebra
ISBN: 331943599X ISBN-13(EAN): 9783319435992
Издательство: Springer
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Цена: 7406.00 р.
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Описание: This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.

Topics in Computational Algebra

Автор: G.M. Piacentini Cattaneo; Elisabetta Strickland
Название: Topics in Computational Algebra
ISBN: 0792311175 ISBN-13(EAN): 9780792311171
Издательство: Springer
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Цена: 21655.00 р.
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Описание: The main purpose of these lectures is first to briefly survey the fundamental con- nection between the representation theory of the symmetric group Sn and the theory of symmetric functions and second to show how combinatorial methods that arise naturally in the theory of symmetric functions lead to efficient algorithms to express various prod- ucts of representations of Sn in terms of sums of irreducible representations. That is, there is a basic isometry which maps the center of the group algebra of Sn, Z(Sn), to the space of homogeneous symmetric functions of degree n, An. This basic isometry is known as the Frobenius map, F. The Frobenius map allows us to reduce calculations involving characters of the symmetric group to calculations involving Schur functions. Now there is a very rich and beautiful theory of the combinatorics of symmetric functions that has been developed in recent years. The combinatorics of symmetric functions, then leads to a number of very efficient algorithms for expanding various products of Schur functions into a sum of Schur functions. Such expansions of products of Schur functions correspond via the Frobenius map to decomposing various products of irreducible representations of Sn into their irreducible components. In addition, the Schur functions are also the characters of the irreducible polynomial representations of the general linear group over the complex numbers GLn(C).

Computational And Algorithmic Linear Algebra And N-Dimensional Geometry

Автор: Murty Katta Gopalakrishna
Название: Computational And Algorithmic Linear Algebra And N-Dimensional Geometry
ISBN: 9814366625 ISBN-13(EAN): 9789814366625
Издательство: World Scientific Publishing
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Цена: 16790.00 р.
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Описание: Deals with Linear Algebra and n-Dimensional Geometry. This title is suitable for sophomore level undergraduates in mathematics, engineering, business, and the sciences.

Analysis of Dirac Systems and Computational Algebra

Автор: Fabrizio Colombo; Irene Sabadini; Franciscus Somme
Название: Analysis of Dirac Systems and Computational Algebra
ISBN: 1461264693 ISBN-13(EAN): 9781461264699
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems

* All the necessary classical material is initially presented

* Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics

Computational Algebraic Number Theory

Автор: M.E. Pohst
Название: Computational Algebraic Number Theory
ISBN: 3764329130 ISBN-13(EAN): 9783764329136
Издательство: Springer
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Цена: 4186.00 р.
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Описание: Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. This book emphasizes practical algorithms for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields.

Homological and Computational Methods in Commutative Algebra

Автор: Aldo Conca; Joseph Gubeladze; Tim R?mer
Название: Homological and Computational Methods in Commutative Algebra
ISBN: 331961942X ISBN-13(EAN): 9783319619422
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting "Homological and Computational Methods in Commutative Algebra" held in Cortona (Italy) from May 30 to June 3, 2016 .

Analysis of Dirac Systems and Computational Algebra

Автор: Fabrizio Colombo; Irene Sabadini; Franciscus Somme
Название: Analysis of Dirac Systems and Computational Algebra
ISBN: 0817642552 ISBN-13(EAN): 9780817642556
Издательство: Springer
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Цена: 11166.00 р.
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Описание: Examines systems of linear PDEs with constant coefficients, focusing attention on null solutions of Dirac systems. This provides a different way to look at some important questions which arise when one tries to develop multi-dimensional theories.

Computational Commutative Algebra 2

Автор: Martin Kreuzer; Lorenzo Robbiano
Название: Computational Commutative Algebra 2
ISBN: 3642064914 ISBN-13(EAN): 9783642064913
Издательство: Springer
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Цена: 8384.00 р.
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Описание: "The second volume of the authors` `Computational commutative algebra`...covers on its 586 pages a wealth of interesting material with several unexpected applications. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications."


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