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Singularities of Differentiable Maps, V.I. Arnold; A.N. Varchenko; S.M. Gusein-Zade


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Автор: V.I. Arnold; A.N. Varchenko; S.M. Gusein-Zade
Название:  Singularities of Differentiable Maps
ISBN: 9781461295891
Издательство: Springer
Классификация: ISBN-10: 1461295890
Обложка/Формат: Paperback
Страницы: 396
Вес: 0.55 кг.
Дата издания: 01.10.2011
Серия: Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 21
Основная тема: Mathematics
Подзаголовок: Volume I: The Classification of Critical Points Caustics and Wave Fronts
Ссылка на Издательство: Link
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Поставляется из: Германии
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).


Continuous Nowhere Differentiable Functions

Автор: Jarnicki Marek
Название: Continuous Nowhere Differentiable Functions
ISBN: 3319126695 ISBN-13(EAN): 9783319126692
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly.

Singularities of Differentiable Maps

Автор: V.I. Arnold; A.N. Varchenko; S.M. Gusein-Zade
Название: Singularities of Differentiable Maps
ISBN: 1461284082 ISBN-13(EAN): 9781461284086
Издательство: Springer
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Цена: 18167.00 р.
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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.

Differentiable Periodic Maps

Автор: P. E. Conner
Название: Differentiable Periodic Maps
ISBN: 3540095357 ISBN-13(EAN): 9783540095354
Издательство: Springer
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Цена: 3487.00 р.
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Constrained Extrema Introduction to the Differentiable Case with Economic Applications

Автор: M.A. El-Hodiri
Название: Constrained Extrema Introduction to the Differentiable Case with Economic Applications
ISBN: 3540056378 ISBN-13(EAN): 9783540056379
Издательство: Springer
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Цена: 15372.00 р.
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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.

Differentiable and Complex Dynamics of Several Variables

Автор: Pei-Chu Hu; Chung-Chun Yang
Название: Differentiable and Complex Dynamics of Several Variables
ISBN: 079235771X ISBN-13(EAN): 9780792357711
Издательство: Springer
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Цена: 15372.00 р.
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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.

Differentiable Operators and Nonlinear Equations

Автор: Victor Khatskevich; David Shoiykhet
Название: Differentiable Operators and Nonlinear Equations
ISBN: 3764329297 ISBN-13(EAN): 9783764329297
Издательство: Springer
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Цена: 22354.00 р.
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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.

Differentiable Manifolds

Автор: S.S. Chern; F.R. Smith; Georges de Rham
Название: Differentiable Manifolds
ISBN: 3642617549 ISBN-13(EAN): 9783642617546
Издательство: Springer
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Цена: 12577.00 р.
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Описание: In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space.

Differentiable Optimization and Equation Solving

Автор: John L. Nazareth
Название: Differentiable Optimization and Equation Solving
ISBN: 1441930612 ISBN-13(EAN): 9781441930613
Издательство: Springer
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Цена: 19564.00 р.
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Описание: An overview of the dramatic reorganization in reaction to N. Karmakar`s seminal 1984 paper on algorithmic linear programming in the area of algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. Aimed at readers familiar with advanced calculus and numerical analysis.

Analysis and Algebra on Differentiable Manifolds

Автор: Pedro M. Gadea; Jaime Mu?oz Masqu?; Ihor V. Mykyty
Название: Analysis and Algebra on Differentiable Manifolds
ISBN: 9400793308 ISBN-13(EAN): 9789400793309
Издательство: Springer
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Цена: 9776.00 р.
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Описание: This new edition offers solved exercises on differentiable manifolds, Lie groups, fibre bundles and Riemannian manifolds. Includes exercises ranging from elementary computations to sophisticated tools, and studies solved problems of differentiable manifolds.


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