Schwarz`s lemma from a differential geometric viewpoint, Kim, Kang-tae Hanjin, Lee

Автор: Albert S. Schwarz; Silvio Levy
Название: Topology for Physicists
ISBN: 3642081312 ISBN-13(EAN): 9783642081316
Издательство: Springer
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Цена: 21421 р.
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Описание: But other subjects also play an important role: homology theory, fibration theory (and characteristic classes in particular), and also branches of mathematics that are not directly a part of topology, but which use topological methods in an essential way: for example, the theory of indices of elliptic operators and the theory of complex manifolds.

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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Цена: 20592 р.
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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: Agrachev, Andrei Sachkov, Yuri
Название: Control theory from the geometric viewpoint
ISBN: 3642059074 ISBN-13(EAN): 9783642059070
Издательство: Springer
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Цена: 25254 р.
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Описание: Devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations, this book treats Mathematical Control Theory from a geometric viewpoint. Covers controllability, state and feedback equivalence and optimal control.

Автор: Christian B?r; Joachim Lohkamp; Matthias Schwarz
Название: Global Differential Geometry
ISBN: 3642439098 ISBN-13(EAN): 9783642439094
Издательство: Springer
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Цена: 19897 р.
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Описание: Introduction.- Symplectic Geometry.- Geometric Analysis.- Riemann Geometry.

Автор: G?nter Schwarz
Название: Hodge Decomposition - A Method for Solving Boundary Value Problems
ISBN: 3540600167 ISBN-13(EAN): 9783540600169
Издательство: Springer
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Цена: 5356 р.
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Описание: Hodge theory is a standard theory in characterizing differential complexes and the topology of manifolds. This text is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects.