Geometry In Partial Differential Equations
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Author | : Agostino Prastaro |
Publisher | : World Scientific |
Total Pages | : 482 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9789810214074 |
Download Geometry in Partial Differential Equations Book in PDF, Epub and Kindle
This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.
Author | : Themistocles M Rassias |
Publisher | : World Scientific |
Total Pages | : 480 |
Release | : 1994-01-17 |
Genre | : Mathematics |
ISBN | : 9814504130 |
Download Geometry In Partial Differential Equations Book in PDF, Epub and Kindle
This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.
Author | : Mohamed Ben Ayed |
Publisher | : Cambridge University Press |
Total Pages | : 471 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 1108431631 |
Download Partial Differential Equations arising from Physics and Geometry Book in PDF, Epub and Kindle
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
Author | : Robert Everist Greene |
Publisher | : American Mathematical Soc. |
Total Pages | : 585 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : 082181494X |
Download Differential Geometry: Partial Differential Equations on Manifolds Book in PDF, Epub and Kindle
The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Author | : Guillermo Sapiro |
Publisher | : Cambridge University Press |
Total Pages | : 391 |
Release | : 2006-02-13 |
Genre | : Mathematics |
ISBN | : 1139936514 |
Download Geometric Partial Differential Equations and Image Analysis Book in PDF, Epub and Kindle
This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.
Author | : Robert Hardt |
Publisher | : American Mathematical Soc. |
Total Pages | : 356 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780821804315 |
Download Nonlinear partial differential equations in differential geometry Book in PDF, Epub and Kindle
This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles.
Author | : Stefan Hildebrandt |
Publisher | : Springer Science & Business Media |
Total Pages | : 663 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642556272 |
Download Geometric Analysis and Nonlinear Partial Differential Equations Book in PDF, Epub and Kindle
This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.
Author | : Alessio Figalli |
Publisher | : Springer |
Total Pages | : 224 |
Release | : 2018-05-23 |
Genre | : Mathematics |
ISBN | : 3319740423 |
Download Partial Differential Equations and Geometric Measure Theory Book in PDF, Epub and Kindle
This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2–7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
Author | : Agostino Prastaro |
Publisher | : World Scientific |
Total Pages | : 764 |
Release | : 1996 |
Genre | : Science |
ISBN | : 9789810225209 |
Download Geometry of PDEs and Mechanics Book in PDF, Epub and Kindle
This volume presents the theory of partial differential equations (PDEs) from a modern geometric point of view so that PDEs can be characterized by using either technique of differential geometry or algebraic geometry. This allows us to recognize the richness of the structure of PDEs. It presents, for the first time, a geometric theory of non-commutative (quantum) PDEs and gives a general application of this theory to quantum field theory and quantum supergravity.
Author | : Hassan Ugail |
Publisher | : Springer Science & Business Media |
Total Pages | : 110 |
Release | : 2011-08-24 |
Genre | : Computers |
ISBN | : 0857297848 |
Download Partial Differential Equations for Geometric Design Book in PDF, Epub and Kindle
The subject of Partial Differential Equations (PDEs) which first emerged in the 18th century holds an exciting and special position in the applications relating to the mathematical modelling of physical phenomena. The subject of PDEs has been developed by major names in Applied Mathematics such as Euler, Legendre, Laplace and Fourier and has applications to each and every physical phenomenon known to us e.g. fluid flow, elasticity, electricity and magnetism, weather forecasting and financial modelling. This book introduces the recent developments of PDEs in the field of Geometric Design particularly for computer based design and analysis involving the geometry of physical objects. Starting from the basic theory through to the discussion of practical applications the book describes how PDEs can be used in the area of Computer Aided Design and Simulation Based Design. Extensive examples with real life applications of PDEs in the area of Geometric Design are discussed in the book.