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Convergence Foundations Of Topology, Dolecki Szymon Et Al


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Цена: 19008.00р.
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При оформлении заказа до: 2025-08-04
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Автор: Dolecki Szymon Et Al
Название:  Convergence Foundations Of Topology
ISBN: 9789814571517
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9814571512
Обложка/Формат: Hardback
Страницы: 568
Вес: 0.95 кг.
Серия: Mathematics
Язык: English
Размер: 164 x 236 x 33
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Topology, MATHEMATICS / Mathematical Analysis,MATHEMATICS / Study & Teaching,MATHEMATICS / Topology
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Поставляется из: Англии
Описание:

It is clear that the book, with its high level of scholarship, is a labour of love on the part of its authors, and it will no doubt make quite a dent in the right circles ... The mature reader, disposed to this way of redoing topology, will have a great time.

Mathematical Association of America

This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets.

Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis.

Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces.




Foundations of Hyperbolic Manifolds

Автор: Ratcliffe
Название: Foundations of Hyperbolic Manifolds
ISBN: 0387331972 ISBN-13(EAN): 9780387331973
Издательство: Springer
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Цена: 7680.00 р.
Наличие на складе: Есть (1 шт.)
Описание: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.

Foundations of Modern Probability

Автор: Kallenberg Olav
Название: Foundations of Modern Probability
ISBN: 0387953132 ISBN-13(EAN): 9780387953137
Издательство: Springer
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Цена: 12577.00 р.
Наличие на складе: Поставка под заказ.

Описание: About the first edition: To sum it up, one can perhaps see a distinction among advanced probability books into those which are original and path-breaking in content, such as Levy's and Doob's well-known examples, and those which aim primarily to assimilate known material, such as Loeve's and more recently Rogers and Williams'. Seen in this light, Kallenberg's present book would have to qualify as the assimilation of probability par excellence. It is a great edifice of material, clearly and ingeniously presented, without any non-mathematical distractions. Readers wishing to venture into it may do so with confidence that they are in very capable hands.- Mathematical ReviewsThis new edition contains four new chapters as well as numerous improvements throughout the text. There are new chapters on measure Theory-key results, ergodic properties of Markov processes and large deviations.

Computational topology

Автор: Edelsbrunner , Herbe
Название: Computational topology
ISBN: 0821849255 ISBN-13(EAN): 9780821849255
Издательство: Mare Nostrum (Eurospan)
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Цена: 8704.00 р.
Наличие на складе: Нет в наличии.

Описание: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. It covers motivating problems in both mathematics and computer science. Building up from classic topics in geometric and algebraic topology, it covers persistent homology.

Topological foundations of electromagnetism

Название: Topological foundations of electromagnetism
ISBN: 9812779965 ISBN-13(EAN): 9789812779960
Издательство: World Scientific Publishing
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Цена: 13622.00 р.
Наличие на складе: Поставка под заказ.

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.

Topology for computing

Автор: Zomorodian
Название: Topology for computing
ISBN: 0521136091 ISBN-13(EAN): 9780521136099
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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Описание: This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.

Topology, Geometry and Gauge fields

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Basic Algebraic Topology and its Applications

Автор: Adhikari
Название: Basic Algebraic Topology and its Applications
ISBN: 8132228413 ISBN-13(EAN): 9788132228417
Издательство: Springer
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Цена: 11179.00 р.
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Описание:

This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book o?ers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.
Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Topology Optimization in Engineering Structure Design

Автор: Zhu, Ji-Hong
Название: Topology Optimization in Engineering Structure Design
ISBN: 1785482246 ISBN-13(EAN): 9781785482243
Издательство: Elsevier Science
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Цена: 17517.00 р.
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Описание:

Topology Optimization in Engineering Structure Design explores the recent advances and applications of topology optimization in engineering structures design, with a particular focus on aircraft and aerospace structural systems. To meet the increasingly complex engineering challenges provided by rapid developments in these industries, structural optimization techniques have developed in conjunction with them over the past two decades. The latest methods and theories to improve mechanical performances and save structural weight under static, dynamic and thermal loads are summarized and explained in detail here, in addition to potential applications of topology optimization techniques such as shape preserving design, smart structure design and additive manufacturing. These new design strategies are illustrated by a host of worked examples, which are inspired by real engineering situations, some of which have been applied to practical structure design with significant effects. Written from a forward-looking applied engineering perspective, the authors not only summarize the latest developments in this field of structure design but also provide both theoretical knowledge and a practical guideline. This book should appeal to graduate students, researchers and engineers, in detailing how to use topology optimization methods to improve product design.

Foundations of Algebraic Topology

Автор: Eilenberg Samuel, Steenrod Norman
Название: Foundations of Algebraic Topology
ISBN: 0691627231 ISBN-13(EAN): 9780691627236
Издательство: Wiley
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Цена: 9187.00 р.
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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.

Differential and Combinatorial Topology: A Symposium in Honor of Marston Morse

Автор: Cairns Stewart Scott
Название: Differential and Combinatorial Topology: A Symposium in Honor of Marston Morse
ISBN: 0691624453 ISBN-13(EAN): 9780691624457
Издательство: Wiley
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Цена: 7128.00 р.
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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

Introduction to Topology

Автор: Lefschetz Solomon
Название: Introduction to Topology
ISBN: 0691627509 ISBN-13(EAN): 9780691627502
Издательство: Wiley
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Цена: 6336.00 р.
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Описание:

In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.

Originally published in 1949.

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.

Symplectic Topology and Floer Homology

Автор: Oh
Название: Symplectic Topology and Floer Homology
ISBN: 1107109671 ISBN-13(EAN): 9781107109674
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: Published in two volumes, this is the first book to provide a systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory.


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