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Geometry and Discrete Mathematics: A Selection of Highlights, Fine Benjamin, Gaglione Anthony, Moldenhauer Anja


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Автор: Fine Benjamin, Gaglione Anthony, Moldenhauer Anja
Название:  Geometry and Discrete Mathematics: A Selection of Highlights
ISBN: 9783110521450
Издательство: Walter de Gruyter
Издательство: de Gruyter
Классификация:



ISBN-10: 3110521458
Обложка/Формат: Paperback
Страницы: 296
Вес: 0.48 кг.
Дата издания: 01.11.2018
Язык: English
Размер: 24.41 x 16.99 x 1.57 cm
Поставляется из: США
Описание: This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. ContentsGeometry and geometric ideasIsometries in Euclidean vector spaces and their classification in ℝnThe conic sections in the Euclidean planeSpecial groups of planar isometriesGraph theory and platonic solidsLinear fractional transformation and planar hyperbolic geometryCombinatorics and combinatorial problemsFinite probability theory and Bayesian analysisBoolean lattices, Boolean algebras and Stones theorem

Elementary Theory of Groups and Group Rings, and Related Topics: Proceedings of the Conference held at Fairfield University and at the Graduate Center, CUNY, November 1-2, 2018

Автор: Anja Moldenhauer, Benjamin Fine, Gerhard Rosenberger, Paul Baginski, Vladimir Shpilrain
Название: Elementary Theory of Groups and Group Rings, and Related Topics: Proceedings of the Conference held at Fairfield University and at the Graduate Center, CUNY, November 1-2, 2018
ISBN: 311063709X ISBN-13(EAN): 9783110637090
Издательство: Walter de Gruyter
Рейтинг:
Цена: 140030.00 T
Наличие на складе: Нет в наличии.
Описание: This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.

Algebra and Number Theory: A Selection of Highlights

Автор: Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman
Название: Algebra and Number Theory: A Selection of Highlights
ISBN: 3110515849 ISBN-13(EAN): 9783110515848
Издательство: Walter de Gruyter
Цена: 49530.00 T
Наличие на складе: Невозможна поставка.
Описание: This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pell’s equationTranscendental numbers and the numbers e and ?Compass and straightedge constructions and the classical problemsEuclidean vector spaces

Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography

Автор: Celine Carstensen-Opitz, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger
Название: Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography
ISBN: 3110603934 ISBN-13(EAN): 9783110603934
Издательство: Walter de Gruyter
Цена: 61920.00 T
Наличие на складе: Нет в наличии.
Описание: A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.

The Elementary Theory of Groups: A Guide through the Proofs of the Tarski Conjectures

Автор: Benjamin Fine, Anthony Gaglione, Alexei Myasnikov,
Название: The Elementary Theory of Groups: A Guide through the Proofs of the Tarski Conjectures
ISBN: 3110341999 ISBN-13(EAN): 9783110341997
Издательство: Walter de Gruyter
Рейтинг:
Цена: 185890.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.

Автор: Benjamin Fine, Anthony Gaglione, Alexei Myasnikov, Gerhard Rosenberger, Dennis Spellman
Название: The Elementary Theory of Groups: A Guide through the Proofs of the Tarski Conjectures
ISBN: 3110342049 ISBN-13(EAN): 9783110342048
Издательство: Walter de Gruyter
Цена: 259100.00 T
Наличие на складе: Невозможна поставка.
Описание: After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs.

Elementary Theory of Groups and Group Rings, and Related Topics: Proceedings of the Conference held at Fairfield University and at the Graduate Center, CUNY, November 1-2, 2018

Автор: Paul Baginski, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Vladimir Shpilrain
Название: Elementary Theory of Groups and Group Rings, and Related Topics: Proceedings of the Conference held at Fairfield University and at the Graduate Center, CUNY, November 1-2, 2018
ISBN: 3110636735 ISBN-13(EAN): 9783110636734
Издательство: Walter de Gruyter
Цена: 140030.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.


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