Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups, Alexander J. Hahn
Автор: Claus M. Ringel Название: Tame Algebras and Integral Quadratic Forms ISBN: 3540139052 ISBN-13(EAN): 9783540139058 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Steve Wright Название: Quadratic Residues and Non-Residues ISBN: 3319459546 ISBN-13(EAN): 9783319459547 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.
Автор: O. Timothy O`Meara Название: Introduction to Quadratic Forms ISBN: 3540665641 ISBN-13(EAN): 9783540665649 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "Anyone who has heard O`Meara lecture will recognize in every page of this book the crispness and lucidity of the author`s style. [...] The organization and selection of material is superb. [...] deserves high praise as an excellent example of that too-rare type of mathematical exposition combining conciseness with clarity."
Автор: Goro Shimura Название: Arithmetic of Quadratic Forms ISBN: 1461426189 ISBN-13(EAN): 9781461426189 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines algebraic number theory and the theory of semisimple algebras. It covers classification over an algebraic number field and classification over the ring of algebraic integers.
Автор: Wright Название: Invariants of Quadratic Differential Forms ISBN: 1107493935 ISBN-13(EAN): 9781107493933 Издательство: Cambridge Academ Рейтинг: Цена: 3008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originally published in 1908 in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account regarding the invariant theory connected with a single quadratic differential form. This book will be of value to anyone with an interest in quadratic differential forms and the history of mathematics.
Автор: Gordon L. Nipp Название: Quaternary Quadratic Forms ISBN: 0387976019 ISBN-13(EAN): 9780387976013 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book of tables includes a reduced representative of each class of. The next section contains a printed version of the tables through discriminant 500, included to allow the reader to peruse at least this much without the inconvenience of making his/her own hard copy via the computer.
Автор: Trifkovic Mak Название: Algebraic Theory of Quadratic Numbers ISBN: 1461477166 ISBN-13(EAN): 9781461477167 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows the techniques of elementary arithmetic, ring theory and linear algebra working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. Includes numerous exercises.
Автор: Johannes Buchmann; Ulrich Vollmer Название: Binary Quadratic Forms ISBN: 3642079717 ISBN-13(EAN): 9783642079719 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory.
Автор: Andreescu Titu Название: Quadratic Diophantine Equations ISBN: 1493938800 ISBN-13(EAN): 9781493938803 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.
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