Analysis and Geometry on Graphs and Manifolds, Matthias Keller, Daniel Lenz, Radoslaw K. Wojciechowski

Автор: Wang Feng Yu
Название: Analysis for Diffusion Processes on Riemannian Manifolds
ISBN: 9814452645 ISBN-13(EAN): 9789814452649
Издательство: World Scientific Publishing
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Цена: 132000.00 T
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Описание: Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.

Автор: Takushiro Ochiai; Toshiki Mabuchi; Yoshiaki Maeda;
Название: Geometry and Analysis on Manifolds
ISBN: 3319115227 ISBN-13(EAN): 9783319115221
Издательство: Springer
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Цена: 88500.00 T
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Описание: The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.

Автор: Takushiro Ochiai; Toshiki Mabuchi; Yoshiaki Maeda;
Название: Geometry and Analysis on Manifolds
ISBN: 3319352814 ISBN-13(EAN): 9783319352817
Издательство: Springer
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Цена: 88500.00 T
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Описание: The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.

Автор: Toshikazu Sunada
Название: Geometry and Analysis on Manifolds
ISBN: 3540501134 ISBN-13(EAN): 9783540501138
Издательство: Springer
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Цена: 32560.00 T
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Описание: The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. This volume includes are expanded versions of most of the invited lectures.

Автор: John Douglas Moore
Название: Introduction to Global Analysis: Minimal Surfaces in Riemannian Manifolds
ISBN: 1470429500 ISBN-13(EAN): 9781470429508
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: During the last century, global analysis was one of the main sources of interaction between geometry and topology. One might argue that the core of this subject is Morse theory, according to which the critical points of a generic smooth proper function on a manifold $M$ determine the homology of the manifold.Morse envisioned applying this idea to the calculus of variations, including the theory of periodic motion in classical mechanics, by approximating the space of loops on $M$ by a finite-dimensional manifold of high dimension. Palais and Smale reformulated Morse's calculus of variations in terms of infinite-dimensional manifolds, and these infinite-dimensional manifolds were found useful for studying a wide variety of nonlinear PDEs.This book applies infinite-dimensional manifold theory to the Morse theory of closed geodesics in a Riemannian manifold. It then describes the problems encountered when extending this theory to maps from surfaces instead of curves. It treats critical point theory for closed parametrized minimal surfaces in a compact Riemannian manifold, establishing Morse inequalities for perturbed versions of the energy function on the mapping space. It studies the bubbling which occurs when the perturbation is turned off, together with applications to the existence of closed minimal surfaces. The Morse-Sard theorem is used to develop transversality theory for both closed geodesics and closed minimal surfaces.This book is based on lecture notes for graduate courses on "Topics in Differential Geometry", taught by the author over several years. The reader is assumed to have taken basic graduate courses in differential geometry and algebraic topology.

Автор: Katz Gabriel
Название: Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary
ISBN: 981436875X ISBN-13(EAN): 9789814368759
Издательство: World Scientific Publishing
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Цена: 64070.00 T
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Описание: Putting constraints on the nature of the interaction between nonsingular gradient - like fields and the boundary of a smooth compact manifold have implications for the topology of the manifold, this book describes these implications.

Автор: Chris Wendl
Название: Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
ISBN: 1108497403 ISBN-13(EAN): 9781108497404
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: Based on a series of lectures for students in topology, this book provides an entry point into the intersection theory of punctured holomorphic curves. Appendices featuring quick reference guides for applying the theory and self-contained proofs of key technical results also make it a valuable resource for researchers.

Автор: Barlow
Название: Random Walks and Heat Kernels on Graphs
ISBN: 1107674425 ISBN-13(EAN): 9781107674424
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: This introduction to random walks on infinite graphs, in both discrete and continuous time, gives a systematic account of transition densities, including useful but hard-to-find results. The book is aimed at researchers and graduate students in mathematics who have a basic familiarity with analysis and some familiarity with probability.

Автор: Lee, J.M.
Название: Manifolds and Differential Geometry. Graduate Studies in Mathematics, 107.
ISBN: 0821848151 ISBN-13(EAN): 9780821848159
Издательство: Mare Nostrum (Eurospan)
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Цена: 83600.00 T
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Описание: Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.

Автор: Horn
Название: Matrix Analysis
ISBN: 0521548233 ISBN-13(EAN): 9780521548236
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: The thoroughly revised and updated second edition of this acclaimed text for a second course on linear algebra has more than 1,100 problems and exercises, along with new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices and much more.

Автор: J?rgen Jost
Название: Riemannian Geometry and Geometric Analysis
ISBN: 3319618598 ISBN-13(EAN): 9783319618593
Издательство: Springer
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Цена: 79190.00 T
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Описание: This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.