Автор: Nakahara, M. (department Of Mathematics And Physic Название: Geometry, topology and physics ISBN: 0750306068 ISBN-13(EAN): 9780750306065 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.
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
Описание: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology
Автор: Freedman Michael H., Quinn Frank Название: Topology of 4-Manifolds (PMS-39) ISBN: 0691602891 ISBN-13(EAN): 9780691602899 Издательство: Wiley Рейтинг: Цена: 7603.00 р. 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: Futaki Название: Geometry and Topology of Manifolds ISBN: 443156019X ISBN-13(EAN): 9784431560197 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincar? conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson conjecture in K?hler geometry, the Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from leading specialists.
The geometry conference for the friendship of China and Japan has achieved this purpose during the past 10 years. Their talks deal with problems at the highest level, often accompanied with solutions and ideas, which extend across various fields in Riemannian geometry, symplectic and contact geometry, and complex geometry.
Автор: Friedman Название: Topology of Stratified Spaces ISBN: 1107459478 ISBN-13(EAN): 9781107459472 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Appearance of singularities is pervasive in many problems in topology, differential geometry and algebraic geometry. This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and the interactions among them.
Автор: Edelsbrunner , Herbe Название: Computational topology ISBN: 0821849255 ISBN-13(EAN): 9780821849255 Издательство: Mare Nostrum (Eurospan) Рейтинг: 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.
Автор: Zomorodian Название: Topology for computing ISBN: 0521136091 ISBN-13(EAN): 9780521136099 Издательство: Cambridge Academ Рейтинг: Цена: 8237.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Naber Название: Topology, Geometry and Gauge fields ISBN: 1441972536 ISBN-13(EAN): 9781441972538 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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)
Автор: Davis Название: Topology and Geometric Group Theory ISBN: 3319436732 ISBN-13(EAN): 9783319436739 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted.Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.
Автор: Adhikari Название: Basic Algebraic Topology and its Applications ISBN: 8132228413 ISBN-13(EAN): 9788132228417 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Thurston, William P. Название: Three-dimensional geometry and topology ISBN: 0691083045 ISBN-13(EAN): 9780691083049 Издательство: Wiley Рейтинг: Цена: 17424.00 р. 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.
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