Автор: Munkres, James R. Название: Topology ISBN: 1292023627 ISBN-13(EAN): 9781292023625 Издательство: Pearson Education Цена: 116350 T Описание: For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately.This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics.
Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.
Автор: Monastyrsky Michael I. Название: Riemann, topology, and physics ISBN: 0817647783 ISBN-13(EAN): 9780817647780 Издательство: Springer Рейтинг: Цена: 55430.00 T Наличие на складе: Есть Описание: The significantly expanded second edition of this book combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics.
Автор: Raoul Bott; Loring W. Tu Название: Differential Forms in Algebraic Topology ISBN: 1441928154 ISBN-13(EAN): 9781441928153 Издательство: Springer Рейтинг: Цена: 59810.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord- ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some acquaintance with manifolds, simplicial complexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. Within the text itself we have stated with care the more advanced results that are needed, so that a mathematically mature reader who accepts these background materials on faith should be able to read the entire book with the minimal prerequisites. There are more materials here than can be reasonably covered in a one-semester course. Certain sections may be omitted at first reading with- out loss of continuity. We have indicated these in the schematic diagram that follows. This book is not intended to be foundational; rather, it is only meant to open some of the doors to the formidable edifice of modern algebraic topology. We offer it in the hope that such an informal account of the subject at a semi-introductory level fills a gap in the literature.
Автор: Aravinda Название: Geometry, Topology, and Dynamics in Negative Curvature ISBN: 110752900X ISBN-13(EAN): 9781107529007 Издательство: Cambridge Academ Рейтинг: Цена: 76030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.
Автор: Eilenberg Samuel, Steenrod Norman Название: Foundations of Algebraic Topology ISBN: 0691627231 ISBN-13(EAN): 9780691627236 Издательство: Wiley Рейтинг: Цена: 63360.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra.
Originally published in 1952. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Автор: May J. Peter Название: More Concise Algebraic Topology ISBN: 0226511782 ISBN-13(EAN): 9780226511788 Издательство: Wiley Рейтинг: Цена: 68640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. This title addresses the course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. It covers topics that are useful for algebraic topologists.
Автор: Cairns Stewart Scott Название: Differential and Combinatorial Topology: A Symposium in Honor of Marston Morse ISBN: 0691624453 ISBN-13(EAN): 9780691624457 Издательство: Wiley Рейтинг: Цена: 50690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Originally published as Volume 27 of the Princeton Mathematical series. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these impor
Автор: Freedman Michael H., Quinn Frank Название: Topology of 4-Manifolds (PMS-39) ISBN: 0691602891 ISBN-13(EAN): 9780691602899 Издательство: Wiley Рейтинг: Цена: 52800.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of t
Автор: Sen Siddhartha, Gupta Kumar Sankar Название: Many-Body Physics, Topology and Geometry ISBN: 9814678163 ISBN-13(EAN): 9789814678162 Издательство: World Scientific Publishing Рейтинг: Цена: 61250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.
Автор: Xia Liang Название: Multiscale Structural Topology Optimization ISBN: 1785481002 ISBN-13(EAN): 9781785481000 Издательство: Elsevier Science Рейтинг: Цена: 77470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. . Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. . This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.
Автор: Thurston, William P. Название: Three-dimensional geometry and topology ISBN: 0691083045 ISBN-13(EAN): 9780691083049 Издательство: Wiley Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning, but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book develops some of the power of geometry in two and three dimensions, and the strong connection of geometry with topology.
Автор: Komornik, Vilmos Название: Topology, calculus and approximation ISBN: 1447173155 ISBN-13(EAN): 9781447173151 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejer, Stieltjes, and Turan.
The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Caratheodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.
Автор: Sergei Matveev Название: Algorithmic Topology and Classification of 3-Manifolds ISBN: 3642079601 ISBN-13(EAN): 9783642079603 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
From the reviews of the 1st edition:
"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph...
All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary.
In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers."
Zentralblatt fur Mathematik 2004
For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3-Manifold Recognizer" have been included.
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