Algebraic Modeling of Topological and Computational Structures and Applications, Sofia Lambropoulou; Doros Theodorou; Petros Stefan
Автор: Brown Robert F. Название: A Topological Introduction to Nonlinear Analysis ISBN: 0817632581 ISBN-13(EAN): 9780817632588 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory . . . reading is fluid and very pleasant . . . style is informal but far from being imprecise." —MATHEMATICAL REVIEWS (Review of the First Edition) Here is a book that will be a joy to the mathematician or graduate student of mathematics---or even the well-prepared undergraduate---who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.New to the second edition: New chapters will supply additional applications of the theory and techniques presented in the book. * Several new proofs, making the second edition more self-contained.
Автор: Arnold Название: Topological Methods in Hydrodynamics ISBN: 038794947X ISBN-13(EAN): 9780387949475 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications
to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups,
knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Korteweg-de Vries equation as a geodesic
flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable.
Topological Methods
in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. T
e necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as
to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry.
Автор: Francis Название: A Topological Picturebook ISBN: 0387345426 ISBN-13(EAN): 9780387345420 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Praise for George Francis's A Topological Picturebook:Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what ``hands on'' really means.- John Stillwell, University of San FranciscoThe Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think.- Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern ThoughtThe classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces.- John Sullivan, Technische Universitat BerlinA Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks.- Jeffrey Weeks, author of The Shape of SpaceA Topological Picturebook is a visual feast for anyone concerned with mathematical images. Francis provides exquisite examples to build one's "visualization muscles". At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings.- George W. Hart, Stony Brook UniversityIn this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable.- Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer
Описание: Basic Concepts.- Nonlinear Eigenvalue Problems in Dunford-Pettis Spaces.- Fixed Point Theory in Locally Convex Spaces.- Fixed Points for Maps with Weakly Sequentially-Closed.- Fixed Point Theory in Banach Algebras.- Fixed Point Theory for (ws)-Compact Operators.- Approximate Fixed Point Theorems in Banach Spaces.
Описание: Disordered Topological Insulators: A Brief Introduction.- Homogeneous Materials.- Homogeneous Disordered Crystals.- Classification of Homogenous Disordered Crystals.- Electron Dynamics: Concrete Physical Models.- Notations and Conventions.- Physical Models.- Disorder Regimes.- Topological Invariants.- The Non-Commutative Brillouin Torus.- Disorder Configurations and Associated Dynamical Systems.- The Algebra of Covariant Physical Observables.- Fourier Calculus.- Differential Calculus.- Smooth Sub-Algebra.- Sobolev Spaces.- Magnetic Derivations.- Physics Formulas.- The Auxiliary C*-Algebras.- Periodic Disorder Configurations.- The Periodic Approximating Algebra.- Finite-Volume Disorder Configurations.- The Finite-Volume Approximating Algebra.- Approximate Differential Calculus.- Bloch Algebras.- Canonical Finite-Volume Algorithm.- General Picture.- Explicit Computer Implementation.- Error Bounds for Smooth Correlations.- Assumptions.- First Round of Approximations.- Second Round of Approximations.- Overall Error Bounds.- Applications: Transport Coefficients at Finite Temperature.- The Non-Commutative Kubo Formula.- The Integer Quantum Hall Effect.- Chern Insulators.- Error Bounds for Non-Smooth Correlations.- The Aizenman-Molchanov Bound.- Assumptions.- Derivation of Error Bounds.- Applications II: Topological Invariants.- Class AIII in d = 1.- Class A in d = 2.- Class AIII in d = 3.- References.
Автор: Boju Jiang Название: Topological Fixed Point Theory and Applications ISBN: 3540519327 ISBN-13(EAN): 9783540519324 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents a selection of papers from the Beijing conference that offers a cross-section of the trends in the field of fixed point theory as seen by topologists and analysts. This title covers such topics as: equivariant theory, extensions of Nielsen theory, and periodic orbits of discrete and continuous dynamical systems.
Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Автор: V.I. Bogachev; O.G. Smolyanov Название: Topological Vector Spaces and Their Applications ISBN: 3319571168 ISBN-13(EAN): 9783319571164 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces.
Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Автор: Rudyak Yuli Название: Piecewise Linear Structures On Topological Manifolds ISBN: 9814733784 ISBN-13(EAN): 9789814733786 Издательство: World Scientific Publishing Рейтинг: Цена: 12355.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The study of triangulations of topological spaces has always been at the root of geometric topology.
Описание: In what concerns equations with discontinuities and differential inclu- sions, we do not restrict the consideration to the Cauchy problem, but we show how to develop an advanced theory whose volume is commensurable with the volume of the existing theory of Ordinary Differential Equations.
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