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Голоморфная динамика: Вводные лекции

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Title (user) : Голоморфная динамика: Вводные лекцииTitle (google) : Голоморфная динамика Вводные лекцииISBN : 5939720064UDC : 517GoogleBook ID : nk4XOwAACAAJAuthors (user) : Милнор Дж.Authors (google) : Джон МилнорPublisher : РХДLanguage : RussianPublication Date : 2000Scanned :...
Description

Title (user) : Голоморфная динамика: Вводные лекции

Title (google) : Голоморфная динамика Вводные лекции

ISBN : 5939720064

UDC : 517

GoogleBook ID : nk4XOwAACAAJ

Authors (user) : Милнор Дж.

Authors (google) : Джон Милнор

Publisher : РХД

Language : Russian

Publication Date : 2000

Scanned : yes (300 DPI)

File Format : djvu

Categories : Functions of complex variables


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Description (user) :
Книга представляет собой вводный курс лекций по голоморфной динамике - одной из интенсивно развивающихся областей современной математики. В них рассмотрена теория римановых поверхностей, теоремы о неподвижной точке. Обсуждаются современные результаты по структуре множеств Жюлиа. Имеется ряд приложений. Предназначена для студентов, аспирантов и полезна для научных сотрудников и преподавателей.


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Description (google) :
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.

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