Topological Properties and Global Structure of Space-Time, Peter G. Bergmann; Venzo De Sabbata
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
Автор: Paola Di Pietro Название: Optical Properties of Bismuth-Based Topological Insulators ISBN: 3319019902 ISBN-13(EAN): 9783319019901 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: List of Abbreviations.- Supervisor's Foreword.- 1 Introduction to the Topological Insulators and State of the Art.- 2 Experimental Technique, Sample Fabrication and Models for Data Analysis.- 3 Results and Analysis.
Автор: Peter G. Bergmann; Venzo De Sabbata Название: Topological Properties and Global Structure of Space-Time ISBN: 0306423677 ISBN-13(EAN): 9780306423673 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As topological questions playa role in non-standard theories as weIl, it will be found that some of the lectures and seminar talks in this volume adopt the point of view of standard relativity, whereas others are based on different theories, such as Kaluza-Klein theories, bimetric theories, and supergravity.
Автор: Anatolij T. Fomenko, Tosiyasu L. Kunii Название: Topological Modeling for Visualization ISBN: 4431669582 ISBN-13(EAN): 9784431669586 Издательство: Springer Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This fantastic textbook was written by two internationally famous authors, Fomenko and Kunii. Because this book requires only high school mathematics, students of the 1st year of undergraduate course can start reading it smoothly. They can learn all the necessary mathematics for visualization through this book. This book covers not only linear but also non-linear problems with a lot of examples. Even students in cognitive science or financial analysis who should solve non-linear problems will find this book helpful.
Описание: Reviews topological polymer chemistry from basic aspects to practice, and gives an overview of cyclic polymers covering fresh synthesis, structure characterization, basic properties/functions and the eventual applications. This title offers opportunities in polymer materials design to create unprecedented properties and functions.
Автор: Robert A. McCoy; Ibula Ntantu Название: Topological Properties of Spaces of Continuous Functions ISBN: 3540193022 ISBN-13(EAN): 9783540193029 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. This book studies two major classes of function space topologies which are set-open topologies and the uniform topologies.
Автор: Paola Di Pietro Название: Optical Properties of Bismuth-Based Topological Insulators ISBN: 3319350447 ISBN-13(EAN): 9783319350448 Издательство: Springer Рейтинг: Цена: 13059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book examines the low energy optical conductivity of TIs to distinguish the extrinsic charge contribution of the bulk from the intrinsic contribution of the surface state carriers. Describes apparatus, methods, sample preparation and analysis procedures.
Описание: This book presentsthe transport studies of topological insulator thin films grown by molecularbeam epitaxy. Through band structure engineering, the ideal topologicalinsulators, (Bi1ГЇВїВЅ xSbx)2Te3 ternary alloys, are successfully fabricated, whichpossess truly insulating bulk and tunable conducting surface states.
What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation?
Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and emphasizes the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the torric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems.
Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.
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