Random Fields and Geometry, Adler

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)

Автор: de Berg
Название: Computational Geometry
ISBN: 3540779736 ISBN-13(EAN): 9783540779735
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This introduction to computational geometry focuses on algorithms. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

Автор: Gibilisco Stan
Название: Geometry Demystified, 2nd Edition
ISBN: 0071756264 ISBN-13(EAN): 9780071756266
Издательство: McGraw-Hill
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Цена: 2744.00 р.
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Описание: The second edition of this cornerstone of the math curriculum is updated with all-new quizzes and test questions, clearer explanations of the material, and a completely refreshed interior design.

Автор: Bronstein Alexander, Bronstein Michael, Kimmel Ron
Название: Numerical Geometry of Non-Rigid Shapes
ISBN: 0387733000 ISBN-13(EAN): 9780387733005
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted a growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention a few - are applied to find solutions.This book gives an overview of current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. Self-contained presentation of topics unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text.This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It could be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.

Автор: Dubrovin
Название: Modern Geometry - Methods and Applications
ISBN: 0387972714 ISBN-13(EAN): 9780387972718
Издательство: Springer
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Цена: 9776.00 р.
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Описание: Focuses on homology theory. This volume contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. It is suitable for both scientists and students of mathematics as well as theoretical physics.

Автор: Dubrovin
Название: Modern Geometry - Methods and Applications
ISBN: 0387976639 ISBN-13(EAN): 9780387976631
Издательство: Springer
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Цена: 8378.00 р.
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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
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Цена: 9776.00 р.
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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.

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 5589.00 р.
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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: Devadoss Satyan L., O`Rourke Joseph
Название: Discrete and Computational Geometry
ISBN: 0691145539 ISBN-13(EAN): 9780691145532
Издательство: Wiley
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Цена: 11088.00 р.
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Описание: Offers a comprehensive introduction to discrete geometry. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as subjects like pseudotriangulations, curve reconstruction, and locked chains. It is suitable for sophomores in mathematics, computer science, engineering, or physics.

Название: Beautiful Geometry
ISBN: 0691150990 ISBN-13(EAN): 9780691150994
Издательство: Wiley
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Цена: 3160.00 р.
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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.