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Smooth Functions and Maps, Makarov Boris M., Podkorytov Anatolii N.


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Цена: 51230.00T
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Автор: Makarov Boris M., Podkorytov Anatolii N.
Название:  Smooth Functions and Maps
ISBN: 9783030794378
Издательство: Springer
Классификация:

ISBN-10: 3030794377
Обложка/Формат: Hardcover
Страницы: 244
Вес: 0.60 кг.
Дата издания: 06.09.2021
Язык: English
Размер: 23.39 x 15.60 x 1.91 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:

The book contains a consistent and sufficiently comprehensive theory of smooth functions and maps insofar as it is connected with differential calculus.

The scope of notions includes, among others, Lagrange inequality, Taylors formula, finding absolute and relative extrema, theorems on smoothness of the inverse map and on conditions of local invertibility, implicit function theorem, dependence and independence of functions, classification of smooth functions up to diffeomorphism. The concluding chapter deals with a more specific issue of critical values of smooth mappings.

In several chapters, a relatively new technical approach is used that allows the authors to clarify and simplify some of the technically difficult proofs while maintaining full integrity. Besides, the book includes complete proofs of some important results which until now have only been published in scholarly literature or scientific journals (remainder estimates of Taylors formula in a nonconvex area (Chapter I, 8), Whitneys extension theorem for smooth function (Chapter I, 11) and some of its corollaries, global diffeomorphism theorem (Chapter II, 5), results on sets of critical values of smooth mappings and the related Whitney example (Chapter IV).

The text features multiple examples illustrating the results obtained and demonstrating their accuracy. Moreover, the book contains over 150 problems and 19 illustrations.

Perusal of the book equips the reader to further explore any literature basing upon multivariable calculus.




Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 153720.00 T
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Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.

Harmonic Analysis: Smooth and Non-smooth

Автор: Palle E.T. Jorgensen
Название: Harmonic Analysis: Smooth and Non-smooth
ISBN: 1470448807 ISBN-13(EAN): 9781470448806
Издательство: Mare Nostrum (Eurospan)
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Цена: 45980.00 T
Наличие на складе: Невозможна поставка.
Описание: There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present. Notions of harmonic analysis focus on transforms and expansions and involve dual variables. In this book on smooth and non-smooth harmonic analysis, the notion of dual variables will be adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers multiresolution wavelet approaches as well as a third tool, namely, $L^2$ spaces derived from appropriate Gaussian processes. The book is based on a series of ten lectures delivered in June 2018 at a CBMS conference held at Iowa State University.

Extrema of Smooth Functions

Автор: Mohamed A. El-Hodiri
Название: Extrema of Smooth Functions
ISBN: 3642767958 ISBN-13(EAN): 9783642767951
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book presents a fairly complete account of the theory of optimization when both maximands and constraints are smooth functions of a finite number of variables. It also provides a rigorous introduction to variational problems and surveys the theory of infinite-dimensional optimization.

Analytic Functions Smooth up to the Boundary

Автор: Sergei V. Khrushchev; Nikolai A. Shirokov
Название: Analytic Functions Smooth up to the Boundary
ISBN: 3540192557 ISBN-13(EAN): 9783540192558
Издательство: Springer
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Цена: 32560.00 T
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Описание: Describes Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. This book includes theorem on smoothness for the outer part of a function, the generalization of the theorem of V P Havin and F A Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem.

Smooth Manifolds

Автор: Sinha Rajinikant
Название: Smooth Manifolds
ISBN: 8132221036 ISBN-13(EAN): 9788132221036
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry.

Smooth analysis in Banach spaces

Автор: Petr H?jek, Michal Johanis
Название: Smooth analysis in Banach spaces
ISBN: 3110258986 ISBN-13(EAN): 9783110258981
Издательство: Walter de Gruyter
Цена: 173490.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-ChiefJurgen Appell, Wurzburg, Germany Honorary and Advisory EditorsCatherine Bandle, Basel, SwitzerlandAlain Bensoussan, Richardson, Texas, USAAvner Friedman, Columbus, Ohio, USAUmberto Mosco, Worcester, Massachusetts, USALouis Nirenberg, New York, USAAlfonso Vignoli, Rome, Italy Editorial BoardManuel del Pino, Bath, UK, and Santiago, ChileMikio Kato, Nagano, JapanWojciech Kryszewski, Torun, PolandVicentiu D. Radulescu, Krakow, PolandSimeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019)Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019)Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019)Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020)Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Smooth Manifolds

Автор: Claudio Gorodski
Название: Smooth Manifolds
ISBN: 3030497747 ISBN-13(EAN): 9783030497743
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Невозможна поставка.
Описание: This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry;

Piecewise-smooth Dynamical Systems

Автор: Mario Bernardo; Chris Budd; Alan Richard Champneys
Название: Piecewise-smooth Dynamical Systems
ISBN: 184996548X ISBN-13(EAN): 9781849965484
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
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Описание: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level.

Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations

Автор: Maria Colombo
Название: Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations
ISBN: 887642606X ISBN-13(EAN): 9788876426063
Издательство: Springer
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Цена: 16770.00 T
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Описание: This text represents a sort of customary or ordinal for the English court chapel in 1449, intended to govern the life of the 49 people, including choirboys, who were the staff of this peripatetic establishment. It was based on earlier drafts, and was sent to Alvaro Vaz d`Almada, a knight of the Garter, for the use of Afonso V of Portugal; it includes a copy of the English coronation rites.

Models for Smooth Infinitesimal Analysis

Автор: Ieke Moerdijk; Gonzalo E. Reyes
Название: Models for Smooth Infinitesimal Analysis
ISBN: 038797489X ISBN-13(EAN): 9780387974897
Издательство: Springer
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Цена: 135090.00 T
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Описание: The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces.

An Introduction to Piecewise Smooth Dynamics

Автор: Paul Glendinning; Mike R. Jeffrey; Elena Bossolini
Название: An Introduction to Piecewise Smooth Dynamics
ISBN: 3030236889 ISBN-13(EAN): 9783030236885
Издательство: Springer
Рейтинг:
Цена: 26080.00 T
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Описание:

This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.

Smooth Ergodic Theory of Random Dynamical Systems

Автор: Pei-Dong Liu; Min Qian
Название: Smooth Ergodic Theory of Random Dynamical Systems
ISBN: 3540600043 ISBN-13(EAN): 9783540600046
Издательство: Springer
Рейтинг:
Цена: 41920.00 T
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Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.


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