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Variational Problems in Differential Geometry

2011-10-20 Mathematics
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Release : 2011-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 118/5 ( reviews)

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Book Synopsis Variational Problems in Differential Geometry by : Roger Bielawski

Download or read book Variational Problems in Differential Geometry written by Roger Bielawski. This book was released on 2011-10-20. Available in PDF, EPUB and Kindle. Book excerpt: With a mix of expository and original papers this volume is an excellent reference for experienced researchers in geometric variational problems, as well as an ideal introduction for graduate students. It presents all the varied methods and techniques used in attacking geometric variational problems and includes many up-to-date results.

Variational Problems in Differential Geometry

2012 Geometry, Differential
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Release : 2012
Genre : Geometry, Differential
Kind : eBook
Book Rating : 551/5 ( reviews)

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Book Synopsis Variational Problems in Differential Geometry by : R. Bielawski

Download or read book Variational Problems in Differential Geometry written by R. Bielawski. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: "The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, mathematical physics and PDEs. The workshop 'Variational Problems in Differential Geometry' held in 2009 at the University of Leeds brought together internationally respected researchers from many different areas of the field. Topics discussed included recent developments in harmonic maps and morphisms, minimal and CMC surfaces, extremal Ka;hler metrics, the Yamabe functional, Hamiltonian variational problems and topics related to gauge theory and to the Ricci flow. These articles reflect the whole spectrum of the subject and cover not only current results, but also the varied methods and techniques used in attacking variational problems. With a mix of original and expository papers, this volume forms a valuable reference for more experienced researchers and an ideal introduction for graduate students and postdoctoral researchers"--Provided by publisher.

Differential Geometry and the Calculus of Variations by Robert Hermann

2000-04-01 Mathematics
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Release : 2000-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 576/5 ( reviews)

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Book Synopsis Differential Geometry and the Calculus of Variations by Robert Hermann by :

Download or read book Differential Geometry and the Calculus of Variations by Robert Hermann written by . This book was released on 2000-04-01. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Variational Problems in Riemannian Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 687/5 ( reviews)

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Book Synopsis Variational Problems in Riemannian Geometry by : Paul Baird

Download or read book Variational Problems in Riemannian Geometry written by Paul Baird. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.

Lectures on Geometric Variational Problems

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 026/5 ( reviews)

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Book Synopsis Lectures on Geometric Variational Problems by : Seiki Nishikawa

Download or read book Lectures on Geometric Variational Problems written by Seiki Nishikawa. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: In this volume are collected notes of lectures delivered at the First In ternational Research Institute of the Mathematical Society of Japan. This conference, held at Tohoku University in July 1993, was devoted to geometry and global analysis. Subsequent to the conference, in answer to popular de mand from the participants, it was decided to publish the notes of the survey lectures. Written by the lecturers themselves, all experts in their respective fields, these notes are here presented in a single volume. It is hoped that they will provide a vivid account of the current research, from the introduc tory level up to and including the most recent results, and will indicate the direction to be taken by future researeh. This compilation begins with Jean-Pierre Bourguignon's notes entitled "An Introduction to Geometric Variational Problems," illustrating the gen eral framework of the field with many examples and providing the reader with a broad view of the current research. Following this, Kenji Fukaya's notes on "Geometry of Gauge Fields" are concerned with gauge theory and its applications to low-dimensional topology, without delving too deeply into technical detail. Special emphasis is placed on explaining the ideas of infi nite dimensional geometry that, in the literature, are often hidden behind rigorous formulations or technical arguments.

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