Revolutions of Geometry, O`Leary

Автор: de Berg
Название: Computational Geometry
ISBN: 3540779736 ISBN-13(EAN): 9783540779735
Издательство: Springer
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Цена: 46570.00 T
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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: 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: 65210.00 T
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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: 65170.00 T
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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: 55850.00 T
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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: 65170.00 T
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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: 37260.00 T
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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: Sussman Gerald Jay
Название: Functional Differential Geometry
ISBN: 0262019345 ISBN-13(EAN): 9780262019347
Издательство: MIT Press
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Цена: 62070.00 T
Наличие на складе: Невозможна поставка.
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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: O`Leary
Название: Solutions Manual to Accompany Revolutions of Geometry
ISBN: 0470167564 ISBN-13(EAN): 9780470167564
Издательство: Wiley
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Цена: 39020.00 T
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Описание: Based on the premise that in order to write proofs, one needs to read finished proofs as well as study both their logic and grammar, Revolutions in Geometry depicts how to write basic proofs in various fields of geometry.

Автор: Richards Robert J., Daston Lorraine
Название: Kuhn`s Structure of Scientific Revolutions at Fifty: Reflections on a Science Classic
ISBN: 022631720X ISBN-13(EAN): 9780226317205
Издательство: Wiley
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Цена: 25350.00 T
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Описание: Thomas S. Kuhn`s The Structure of Scientific Revolutions was a watershed event when it was published in 1962, upending the previous understanding of science as a slow, logical accumulation of facts and introducing, with the concept of the "paradigm shift," social and psychological considerations into the heart of the scientific process. More than fifty years after its publication, Kuhn`s work continues to influence thinkers in a wide range of fields, including scientists, historians, and sociologists. It is clear that The Structure of Scientific Revolutions itself marks no less of a paradigm shift than those it describes. In Kuhn`s "Structure of Scientific Revolutions" at Fifty, leading social scientists and philosophers explore the origins of Kuhn`s masterwork and its legacy fifty years on. These essays exhume important historical context for Kuhn`s work, critically analyzing its foundations in twentieth-century science, politics, and Kuhn`s own intellectual biography: his experiences as a physics graduate student, his close relationship with psychologists before and after the publication of Structure, and the Cold War framework of terms such as "world view" and "paradigm."

Автор: Adler
Название: Random Fields and Geometry
ISBN: 0387481125 ISBN-13(EAN): 9780387481128
Издательство: Springer
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Цена: 93160.00 T
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Описание: Divided into three parts, this book talks about the developments in the study of random fields. The first part tackles Gaussian processes, the second focuses on geometry, both integral and Riemannian and the third presents the geometry of excursion sets of random fields and the related - Euler characteristic approach - to extremal probabilities.

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: 73920.00 T
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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: 21070.00 T
Наличие на складе: Поставка 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.