Автор: Meenaxi Bhattacharjee; R?gnvaldur G. M?ller; Dugal Название: Notes on Infinite Permutation Groups ISBN: 3540649654 ISBN-13(EAN): 9783540649656 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, this work covers aspects of infinite permutation groups theory and some related model theoretic constructions. There is basic background in both group theory and the necessary model theory.
Автор: Victor Kac Название: Infinite Dimensional Groups with Applications ISBN: 146127012X ISBN-13(EAN): 9781461270126 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups.
Автор: Dixon, Martyn R. , Kurdachenko, Leonid A. , Subb Название: Linear Groups ISBN: 1138542806 ISBN-13(EAN): 9781138542808 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups.
Название: Topics in Infinite Group Theory ISBN: 3110673347 ISBN-13(EAN): 9783110673340 Издательство: Walter de Gruyter Рейтинг: Цена: 12827.00 р. Наличие на складе: Нет в наличии.
Описание:
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives.
The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.
Автор: Hale Jack K., Magalhaes Luis T., Oliva Waldyr Название: Dynamics in Infinite Dimensions ISBN: 0387954635 ISBN-13(EAN): 9780387954639 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents an introduction to the geometric theory of infinite dimensional dynamical systems. Many of the fundamental results are presented for asymptotically smooth dynamical systems that have applications to functional differential equations as well as classes of dissipative partial differential equations. However, as in the earlier edition, the major emphasis is on retarded functional differential equations. This updated version also contains much material on neutral functional differential equations. The results in the earlier edition on Morse-Smale systems for maps are extended to a class of semiflows, which include retarded functional differential equations and parabolic partial differential equations.
Автор: Takeyuki Hida; Rajeeva L. Karandikar; Hiroshi Kuni Название: Stochastics in Finite and Infinite Dimensions ISBN: 0817641378 ISBN-13(EAN): 9780817641375 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume commemorates the work of Gopinath Kallianpur, a leading figure in diverse areas of probability and statistics, including stochastic finance, Fisher consistent estimation, non-linear prediction and filtering problems, zero-one laws for Gaussian processes, and stochastic differential equations in infinite dimensions. Consists of research articles written by leading experts highlighting progress and new directions of research in these and related areas. Dedicated to Kallianpur on the occasion of his seventy- fifth birthday, this work will pay tribute to his multi-faceted achievements and to the deep insight and inspiration he has so graciously offered his students and colleagues throughout his career.
Автор: I.V. Ostrovskii; I.V. Ostrovskii; Yu.I. Lyubarskii Название: Riemann`s Boundary Problem with Infinite Index ISBN: 3764329998 ISBN-13(EAN): 9783764329990 Издательство: Springer Рейтинг: Цена: 22354.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: PREFACE The classic statement of the Riemann boundary problem consists in finding a function (z) which is analytic and bounded in two domains D+ and D-, with a common boundary - a smooth closed contour L admitting a continuous extension onto L both from D+ and D- and satisfying on L the boundary condition +(t) = G(t)-(t) + g(t).
Автор: Jack K. Hale; Luis T. Magalhaes; Waldyr Oliva Название: Dynamics in Infinite Dimensions ISBN: 1441930124 ISBN-13(EAN): 9781441930125 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications
The problem of representing an integer as a sum of squares of integers is one of the oldest and most significant in mathematics. It goes back at least 2000 years to Diophantus, and continues more recently with the works of Fermat, Euler, Lagrange, Jacobi, Glaisher, Ramanujan, Hardy, Mordell, Andrews, and others. Jacobi's elliptic function approach dates from his epic Fundamenta Nova of 1829. Here, the author employs his combinatorial/elliptic function methods to derive many infinite families of explicit exact formulas involving either squares or triangular numbers, two of which generalize Jacobi's (1829) 4 and 8 squares identities to 4n2 or 4n(n+1) squares, respectively, without using cusp forms such as those of Glaisher or Ramanujan for 16 and 24 squares. These results depend upon new expansions for powers of various products of classical theta functions. This is the first time that infinite families of non-trivial exact explicit formulas for sums of squares have been found.
The author derives his formulas by utilizing combinatorics to combine a variety of methods and observations from the theory of Jacobi elliptic functions, continued fractions, Hankel or Turanian determinants, Lie algebras, Schur functions, and multiple basic hypergeometric series related to the classical groups. His results (in Theorem 5.19) generalize to separate infinite families each of the 21 of Jacobi's explicitly stated degree 2, 4, 6, 8 Lambert series expansions of classical theta functions in sections 40-42 of the Fundamental Nova. The author also uses a special case of his methods to give a derivation proof of the two Kac and Wakimoto (1994) conjectured identities concerning representations of a positive integer by sums of 4n2 or 4n(n+1) triangular numbers, respectively. These conjectures arose in the study of Lie algebras and have also recently been proved by Zagier using modular forms. George Andrews says in a preface of this book, This impressive work will undoubtedly spur others both in elliptic functions and in modular forms to build on these wonderful discoveries.'
Audience: This research monograph on sums of squares is distinguished by its diversity of methods and extensive bibliography. It contains both detailed proofs and numerous explicit examples of the theory. This readable work will appeal to both students and researchers in number theory, combinatorics, special functions, classical analysis, approximation theory, and mathematical physics.
Автор: Leonard Euler; J.D. Blanton Название: Introduction to Analysis of the Infinite ISBN: 1461269792 ISBN-13(EAN): 9781461269793 Издательство: Springer Рейтинг: Цена: 30745.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Often I have considered the fact that most of the difficulties which block the progress of students trying to learn analysis stem from this: that although they understand little of ordinary algebra, still they attempt this more subtle art.
Автор: D.B. Fuks Название: Cohomology of Infinite-Dimensional Lie Algebras ISBN: 1468487671 ISBN-13(EAN): 9781468487671 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theo- rems, which usually allow one to "recognize" any finite- dimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list.
Автор: Victor Kac Название: Infinite Dimensional Groups with Applications ISBN: 0387962166 ISBN-13(EAN): 9780387962160 Издательство: Springer Рейтинг: Цена: 24456.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups.
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