Автор: Maor Eli, Jost Eugen Название: Beautiful Geometry ISBN: 0691175888 ISBN-13(EAN): 9780691175881 Издательство: Wiley Цена: 1876 р. Наличие на складе: Есть у поставщикаПоставка под заказ. Описание: "If you`ve ever thought that mathematics and art don`t mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by acclaimed math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important and beautiful branches of mathematics"--
Автор: Dubrovin Название: Modern Geometry - Methods and Applications ISBN: 0387976639 ISBN-13(EAN): 9780387976631 Издательство: Springer Рейтинг: Цена: 5605 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory.
Автор: Dubrovin Название: Modern Geometry. Methods and Applications ISBN: 0387961623 ISBN-13(EAN): 9780387961620 Издательство: Springer Рейтинг: Цена: 6540 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education.
Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.
Автор: Naber Название: Topology, Geometry and Gauge fields ISBN: 1441972536 ISBN-13(EAN): 9781441972538 Издательство: Springer Рейтинг: Цена: 7012 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: Devadoss Satyan L., O`Rourke Joseph Название: Discrete and Computational Geometry ISBN: 0691145539 ISBN-13(EAN): 9780691145532 Издательство: Wiley Рейтинг: Цена: 4697 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two." Discrete and Computational Geometry" offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincare conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems.The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only). To obtain access, please e-mail: Vickie_Kearn@press.princeton.edu
Автор: Sussman Gerald Jay Название: Functional Differential Geometry ISBN: 0262019345 ISBN-13(EAN): 9780262019347 Издательство: Wiley Рейтинг: Цена: 2607 р. Наличие на складе: Поставка под заказ.
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory.
Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Miserables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.
The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
Автор: Robson Название: Introduction to Analytical Geometry ISBN: 0521116198 ISBN-13(EAN): 9780521116190 Издательство: Cambridge Academ Рейтинг: Цена: 3330 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book aims to give a pre-university level introduction to the use of coordinates and analytical methods in geometry.
Автор: Vignale, Giovanni Название: The Beautiful Invisible ISBN: 0199574847 ISBN-13(EAN): 9780199574841 Издательство: Oxford Academ Рейтинг: Цена: 1768 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Theoretical physics, argues Giovanni Vignale, is an endeavour of deep imagination and creativity. And the quest to explain profoundly abstract ideas in concrete images makes it strangely akin to poetry and literature. Vignale leads us through beautiful and bizarre worlds, explaining them in his own unique way.
Автор: Zannier Umberto Название: Diophantine Geometry / Proceedings ISBN: 8876422064 ISBN-13(EAN): 9788876422065 Издательство: Springer Рейтинг: Цена: 2804 р. Наличие на складе: Поставка под заказ.
Описание: This book contains research articles on Diophantine Geometry, written by participants of a research program held at the Ennio De Giorgi Mathematical Research Center in Pisa, Italy, during the period April вЂ“ July 2005. The authors are eminent experts in the field. Several subfields of the main topic are presented; the volume thus is particularly useful to get a broad overview of recent research developments.
Автор: JГјttler Bert, Piene Ragni Название: Geometric Modeling and Algebraic Geometry ISBN: 3540721843 ISBN-13(EAN): 9783540721840 Издательство: Springer Рейтинг: Цена: 13089 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The two fields of Geometric Modeling and Algebraic Geometry, thoughclosely related, are traditionally represented by two almost disjointscientific communities. Both fields deal with objects defined byalgebraic equations, but the objects are studied in different ways.This contributed book presents, in 12 chapters written byleading experts, recent results which rely on theinteraction of both fields. Some of these results have been obtainedin the frame of the European GAIA II project (IST 2001-35512) entitled`Intersection algorithms for geometry-based IT applications usingapproximate algebraic methods'.
Автор: Gruber Peter M. Название: Convex and Discrete Geometry ISBN: 3540711325 ISBN-13(EAN): 9783540711322 Издательство: Springer Рейтинг: Цена: 13089 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields.
Автор: Gurariy Vladimir I., Lusky Wolfgang Название: Geometry of MГјntz Spaces and Related Questions ISBN: 3540288007 ISBN-13(EAN): 9783540288008 Издательство: Springer Рейтинг: Цена: 3268 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.
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