Singularity Theory I, V.I. Arnold; A. Iacob; V.V. Goryunov; O.V. Lyashko

Автор: Izumiya Shyuichi, Fuster Maria Del Carmen Romero, Ruas Maria Aparecida Soares
Название: Differential Geometry from Singularity Theory Viewpoint
ISBN: 9814590444 ISBN-13(EAN): 9789814590440
Издательство: World Scientific Publishing
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Описание: 'The present book has been enriched by including, in the Notes of each chapter, other aspects and studies on the topics in questions and by providing a wide list of references. The book will be a helpful tool for researchers interested in the field and in particular, in the study of the differential geometry of singular submanifolds of Euclidean and Minkowski spaces.'European Mathematical SocietyDifferential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of contact and its link with the theory of caustics and wavefronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces.

Автор: Damon
Название: Local Features in Natural Images via Singularity Theory
ISBN: 3319414704 ISBN-13(EAN): 9783319414706
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This monograph considers a basic problem in the computer analysis of natural images, which are images of scenes involving multiple objects that are obtained by a camera lens or a viewer’s eye. The goal is to detect geometric features of objects in the image and to separate regions of the objects with distinct visual properties. When the scene is illuminated by a single principal light source, we further include the visual clues resulting from the interaction of the geometric features of objects, the shade/shadow regions on the objects, and the “apparent contours”. We do so by a mathematical analysis using a repertoire of methods in singularity theory. This is applied for generic light directions of both the “stable configurations” for these interactions, whose features remain unchanged under small viewer movement, and the generic changes which occur under changes of view directions. These may then be used to differentiate between objects and determine their shapes and positions.

Автор: John F. Pierce
Название: Singularity Theory, Rod Theory, and Symmetry Breaking Loads
ISBN: 3540513043 ISBN-13(EAN): 9783540513049
Издательство: Springer
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Цена: 3492.00 р.
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Автор: Dirk Wiersma; C.T.C. Wall; V. Zakalyukin
Название: New Developments in Singularity Theory
ISBN: 0792369971 ISBN-13(EAN): 9780792369974
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 31 July-11 August 2000.

Автор: Dirk Wiersma; C.T.C. Wall; V. Zakalyukin
Название: New Developments in Singularity Theory
ISBN: 0792369963 ISBN-13(EAN): 9780792369967
Издательство: Springer
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Цена: 27944.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 31 July-11 August 2000.

Автор: David Mond; James Montaldi
Название: Singularity Theory and its Applications
ISBN: 3540537376 ISBN-13(EAN): 9783540537373
Издательство: Springer
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Цена: 6282.00 р.
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Описание: This volume contains the results of a workshop held at the University of Warwick on singularities, bifurcation and dynamics. It concentrates specifically on connections with algebraic geometry and contains much information on deformation theory, stratifications and applications.

Автор: Thomas J. Bridges; Jacques E. Furter
Название: Singularity Theory and Equivariant Symplectic Maps
ISBN: 3540572961 ISBN-13(EAN): 9783540572961
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This monograph studies the local bifurcations of multiparameter symplectic maps of arbitrary dimension, in the neighbourhood of a fixed point. This is then reduced to a study of critical points of an equivariant gradient bifurcation problem.