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Exploring Curvature, James Casey


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Автор: James Casey
Название:  Exploring Curvature
ISBN: 9783528064754
Издательство: Springer
Классификация: ISBN-10: 3528064757
Обложка/Формат: Paperback
Страницы: 291
Вес: 0.37 кг.
Дата издания: 01.11.1996
Язык: English
Размер: 210 x 148 x 17
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: . . . one should not be too ready to erect a wall of separation between nature and the human mind. dAlembert Dugas (1955)] It is possible to present mathematics in a purely fonnal way, that is to say, without any reference to the physical world. Indeed, in the more advanced parts of abstract algebra and mathematical logic, one can pro- ceed only in this manner. In other parts of mathematics, especially in Euclidean geometry, calculus, differential equations, and surface ge- ometry, intimate connections exist between the mathematical ideas and physical things. In such cases, a deeper (and sometimes quicker) under- standing can be gained by taking advantage of these connections. I am not, of course, suggesting that one should appeal to physical intuition whenever one gets stuck in a mathematical proof: in proofs, there is no substitute for rigor. Rather, the connections with physical reality should be made either to motivate mathematical assumptions, or to introduce questions out of which theorems arise, or to illustrate the results of an analysis. Such interconnections are especially important in the teaching of mathematics to science and engineering students. But, mathematics students too have much to gain by familiarizing themselves with the interconnections between ideas and real things. The present book explores the geometry of curves and surfaces in a physical way.


Geometry, Topology, and Dynamics in Negative Curvature

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

The Motion of a Surface by Its Mean Curvature. (MN-20):

Автор: Brakke Kenneth a.
Название: The Motion of a Surface by Its Mean Curvature. (MN-20):
ISBN: 0691611513 ISBN-13(EAN): 9780691611518
Издательство: Wiley
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Цена: 7603.00 р.
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Описание: Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of

Modeling Thermodynamic Distance, Curvature and Fluctuations

Автор: Viorel Badescu
Название: Modeling Thermodynamic Distance, Curvature and Fluctuations
ISBN: 3319337882 ISBN-13(EAN): 9783319337883
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This textbook aims to briefly outline the main directions in which thegeometrization of thermodynamics has been developed in the last decades.The textbook is accessible to people trained in thermal sciences but notnecessarily with solid formation in mathematics.

Superior-Order Curvature-Correction Techniques for Voltage References

Автор: Cosmin Radu Popa
Название: Superior-Order Curvature-Correction Techniques for Voltage References
ISBN: 1441904158 ISBN-13(EAN): 9781441904157
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Suitable for students and specialists in the area of analog and mixed-signal CMOS VLSI design, this book focuses on analysis and design of voltage reference circuits. It intends to evaluate the possibilities of improving the thermal behavior of voltage references by implementing superior-order curvature-correction techniques.

Modern Approaches to Discrete Curvature

Автор: Laurent Najman; Pascal Romon
Название: Modern Approaches to Discrete Curvature
ISBN: 3319580019 ISBN-13(EAN): 9783319580012
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

Ergodic Theory and Negative Curvature

Автор: Boris Hasselblatt
Название: Ergodic Theory and Negative Curvature
ISBN: 3319430580 ISBN-13(EAN): 9783319430584
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Focussing on the mathematics related to the recent proof of ergodicity of the (Weil-Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research.

Geometry of Manifolds with Non-negative Sectional Curvature

Автор: Owen Dearricott; Fernando Galaz-Garc?a; Lee Kennar
Название: Geometry of Manifolds with Non-negative Sectional Curvature
ISBN: 3319063723 ISBN-13(EAN): 9783319063720
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Riemannian manifolds with positive sectional curvature.- An introduction to isometric group actions.- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds.- Lectures on n-Sasakian manifolds.- On the Hopf conjecture with symmetry.- An Introduction to Exterior Differential Systems.

Superior-Order Curvature-Correction Techniques for Voltage References

Автор: Cosmin Radu Popa
Название: Superior-Order Curvature-Correction Techniques for Voltage References
ISBN: 1489983945 ISBN-13(EAN): 9781489983947
Издательство: Springer
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Цена: 15672.00 р.
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Описание: This book covers the analysis and design of voltage reference circuits. It evaluates the possibilities of improving the thermal behavior of voltage references by implementing superior-order curvature-correction techniques.

Constant Mean Curvature Surfaces with Boundary

Автор: Rafael L?pez
Название: Constant Mean Curvature Surfaces with Boundary
ISBN: 3662512564 ISBN-13(EAN): 9783662512562
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields.

While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of "compact surfaces with boundaries," narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs.

The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Автор: Fran?oise Dal`Bo; Marc Peign?; Andrea Sambusetti
Название: Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
ISBN: 3319381172 ISBN-13(EAN): 9783319381176
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stephane Le Borgne);

Curvature and Characteristic Classes

Автор: J.L. Dupont
Название: Curvature and Characteristic Classes
ISBN: 3540086633 ISBN-13(EAN): 9783540086635
Издательство: Springer
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Цена: 3487.00 р.
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Curvature and Topology of Riemannian Manifolds

Автор: Katsuhiro Shiohama; Takashi Sakai; Toshikazu Sunad
Название: Curvature and Topology of Riemannian Manifolds
ISBN: 3540167706 ISBN-13(EAN): 9783540167709
Издательство: Springer
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Цена: 5583.00 р.
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