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A Topological Picturebook, Francis

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Цена: 6986р.
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Автор: Francis
Название:  A Topological Picturebook
ISBN: 9780387345420
Издательство: Springer
ISBN-10: 0387345426
Обложка/Формат: Paperback
Страницы: 216
Вес: 0.373 кг.
Дата издания: 23.11.2006
Язык: English
Издание: 1987. 2nd print
Иллюстрации: 87 black & white illustrations, 4 colour illustrations
Размер: 23.19 x 15.93 x 1.04
Читательская аудитория: Undergraduate
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: Praise for George Franciss 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 ones 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
Дополнительное описание: Main Subject: Mathematics
Edition: 1st ed 1987. 2nd printing
Bibliography: XVI, 200 p. 91 illus., 4 in color.
Subject1: M28000 Topology
Subject2: M21006 Geometry
Publication class: Students
Product category: Undergraduate textbook

Topological Methods in Hydrodynamics

Автор: Arnold
Название: Topological Methods in Hydrodynamics
ISBN: 038794947X ISBN-13(EAN): 9780387949475
Издательство: Springer
Цена: 18167 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.

Topological foundations of electromagnetism

Название: Topological foundations of electromagnetism
ISBN: 9812779965 ISBN-13(EAN): 9789812779960
Издательство: World Scientific Publishing
Цена: 13622 р.
Наличие на складе: Нет в наличии.

Описание: Provides an understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell`s theory) must be extended or generalized in order to provide an explanation and understanding of unusual electromagnetic phenomena.

Using the Borsuk-Ulam Theorem / Lectures on Topological Methods in Combinatorics and Geometry

Автор: Matousek Jiri, BjГ¶rner A., Ziegler G.M.
Название: Using the Borsuk-Ulam Theorem / Lectures on Topological Methods in Combinatorics and Geometry
ISBN: 3540003622 ISBN-13(EAN): 9783540003625
Издательство: Springer
Цена: 8384 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists.This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. This text started with a one-semester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by GГјnter M. Ziegler in Berlin. The book is based on a thoroughly rewritten version prepared during a pre-doctoral course the author taught at the ETH Zurich in fall 2001.Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter.

A Topological Introduction to Nonlinear Analysis

Автор: Brown Robert F.
Название: A Topological Introduction to Nonlinear Analysis
ISBN: 0817632581 ISBN-13(EAN): 9780817632588
Издательство: Springer
Цена: 6282 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.

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