Автор: V.I. Arnold; A.N. Varchenko; S.M. Gusein-Zade Название: Singularities of Differentiable Maps ISBN: 1461284082 ISBN-13(EAN): 9781461284086 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982. It will be referred to in this text simply as "Volume 1". Whilst the first volume contained the zoology of differentiable maps, that is it was devoted to a description of what, where and how singularities could be encountered, this volume contains the elements of the anatomy and physiology of singularities of differentiable functions. This means that the questions considered in it are about the structure of singularities and how they function. Another distinctive feature of the present volume is that we take a hard look at questions for which it is important to work in the complex domain, where the first volume was devoted to themes for which, on the whole, it was not important which field (real or complex) we were considering. Such topics as, for example, decomposition of singularities, the connection between singularities and Lie algebras and the asymptotic behaviour of different integrals depending on parameters become clearer in the complex domain. The book consists of three parts. In the first part we consider the topological structure of isolated critical points of holomorphic functions. We describe the fundamental topological characteristics of such critical points: vanishing cycles, distinguished bases, intersection matrices, monodromy groups, the variation operator and their interconnections and method of calculation.
Автор: V.I. Arnold; A.N. Varchenko; S.M. Gusein-Zade Название: Singularities of Differentiable Maps ISBN: 1461295890 ISBN-13(EAN): 9781461295891 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: ... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. On the road In this book a start is made to the zoology of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Автор: Pei-Chu Hu; Chung-Chun Yang Название: Differentiable and Complex Dynamics of Several Variables ISBN: 079235771X ISBN-13(EAN): 9780792357711 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents a comprehensive survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invariant sets, hyperbolicity in differentiable or complex dynamics, iterant ion theory on Pm, complex dynamics in Cm and the foundations of differentiable and complex dynamics.
Описание: These notes are the result of an interrupted sequence of seminars on optimiza- tion theory with economic applications starting in 1964-1965. Except for the introductory survey, the notes are intended to provide an appetizer to more sophisticated aspects of optimization theory and economic theory.
Автор: Victor Khatskevich; David Shoiykhet Название: Differentiable Operators and Nonlinear Equations ISBN: 3764329297 ISBN-13(EAN): 9783764329297 Издательство: Springer Рейтинг: Цена: 22354.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Bridges the gap between nonlinear analysis, nonlinear operator equations and the theory of holomorphic mappings on Banach spaces. This book concludes with a brief exposition of the theory of spaces with indefinite metrics, and some relevant applications of the holomorphic mappings theory in this setting.
Описание: Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.
Автор: Pei-Chu Hu; Chung-Chun Yang Название: Differentiable and Complex Dynamics of Several Variables ISBN: 9048152461 ISBN-13(EAN): 9789048152469 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Victor Khatskevich; David Shoiykhet Название: Differentiable Operators and Nonlinear Equations ISBN: 3034896581 ISBN-13(EAN): 9783034896580 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gadea Pedro Название: Analysis and Algebra on Differentiable Manifolds ISBN: 9400759517 ISBN-13(EAN): 9789400759510 Издательство: Springer Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: J.W.P. Hirschfeld; Beniamino Segre Название: Some Properties of Differentiable Varieties and Transformations ISBN: 3642650082 ISBN-13(EAN): 9783642650086 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the Centro Internazionale Mate- matico Estivo. The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter, Of the nine parts into which the work is divided, the first four are essentially differential in character, the next three deal with algebraic geometry, while the last two are concerned with certain aspects of the theory of differential equations and of correspondences between topo- logical varieties. A glance at the index will suffice to give a more exact idea of the range and variety of the contents, whose chief characteristic is that of establishing suggestive and sometimes unforeseen relations between apparently diverse subjects (e. g. differential geometry in the small and also in the large, algebraic geometry, function theory, topo- logy, etc. ); prominence is given throughout to the geometrical view- point, and tedious calculations are as far as possible avoided. The exposition has been planned so that it can be followed without much difficulty even by readers who have no special knowledge of the subjects treated.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
