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Author : Mircea Neagu
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)
Download or read book From PDE Systems and Metric to Geometric Multi-time Field Theories written by Mircea Neagu and published by . This book was released on 2001 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mircea Neagu
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (897 download)
Download or read book From PDE systems and metrics to geometric multi-time field theories written by Mircea Neagu and published by . This book was released on 2001 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Garth Baker
Publisher : Birkhäuser
ISBN 13 : 3034888953
Total Pages : 166 pages
Book Rating : 4.0/5 (348 download)
Download or read book Nonlinear Partial Differential Equations in Geometry and Physics written by Garth Baker and published by Birkhäuser. This book was released on 2012-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein's work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced back to 1954, with the introduction of a non-abelian version of Maxwell's equations as a model in elementary-particle physics, by the physicists C.N. Yang and R. Mills. The rich geometric structure ofthe Yang-Mills equations was brought to the attention of mathematicians through work of M.F. Atiyah, :"J. Hitchin, I.
Author : Michael E. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 1441970525
Total Pages : 634 pages
Book Rating : 4.4/5 (419 download)
Download or read book Partial Differential Equations II written by Michael E. Taylor and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
Author : Léa Blanc-Centi
Publisher : Springer
ISBN 13 : 9783319658360
Total Pages : 173 pages
Book Rating : 4.6/5 (583 download)
Download or read book Metrical and Dynamical Aspects in Complex Analysis written by Léa Blanc-Centi and published by Springer. This book was released on 2017-11-04 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.
Author :
Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.3/5 (91 download)
Download or read book Balkan Journal of Geometry and Its Applications written by and published by . This book was released on 2006 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
ISBN 13 : 1461404541
Total Pages : 346 pages
Book Rating : 4.4/5 (614 download)
Download or read book Dynamical Systems and Methods written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-09-30 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd Conference on Nonlinear Science and Complexity(NSC), focusing on energy transfer and synchronization in hybrid nonlinear systems. The studies focus on fundamental theories and principles,analytical and symbolic approaches, computational techniques in nonlinear physical science and mathematics. Broken into three parts, the text covers: Parametrical excited pendulum, nonlinear dynamics in hybrid systems, dynamical system synchronization and (N+1) body dynamics as well as new views different from the existing results in nonlinear dynamics, mathematical methods for dynamical systems including conservation laws, dynamical symmetry in nonlinear differential equations and invex energies and nonlinear phenomena in physical problems such as solutions, complex flows, chemical kinetics, Toda lattices and parallel manipulator. This book is useful to scholars, researchers and advanced technical members of industrial laboratory facilities developing new tools and products.
Author : Virgil Obădeanu
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.3/5 (91 download)
Download or read book Implicit First Order Dynamical Systems (II) written by Virgil Obădeanu and published by . This book was released on 2001 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenan Tas
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)
Download or read book Global Analysis and Applied Mathematics written by Kenan Tas and published by American Institute of Physics. This book was released on 2004-10-29 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are divided into parts; global analysis and applications, and applied mathematics. Part one contains plenary lectures and other contributions devoted to current research in analysis on manifolds, differential equations, and mathematical physics. Part two conatins contributions on applications of differential and difference equations in different fields, and selected topics from theoretical physics.
Author :
Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.F/5 ( download)
Download or read book Analele Universității București written by and published by . This book was released on 2005 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gianna Stefani
Publisher : Springer
ISBN 13 : 331902132X
Total Pages : 385 pages
Book Rating : 4.3/5 (19 download)
Download or read book Geometric Control Theory and Sub-Riemannian Geometry written by Gianna Stefani and published by Springer. This book was released on 2014-06-05 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume, etc.
Author : Michael Spivak
Publisher :
ISBN 13 : 9780914098324
Total Pages : 733 pages
Book Rating : 4.0/5 (983 download)
Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Piernicola Bettiol
Publisher : Springer
ISBN 13 : 3319069179
Total Pages : 242 pages
Book Rating : 4.3/5 (19 download)
Download or read book Analysis and Geometry in Control Theory and its Applications written by Piernicola Bettiol and published by Springer. This book was released on 2015-09-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.
Author : Robert L. Bryant
Publisher : Springer Science & Business Media
ISBN 13 : 1461397146
Total Pages : 483 pages
Book Rating : 4.4/5 (613 download)
Download or read book Exterior Differential Systems written by Robert L. Bryant and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus the theory is coordinate-free and computations typically have an algebraic character; however, even when coordinates are used in intermediate steps, the use of exterior algebra helps to efficiently guide the computations, and as a consequence the treatment adapts well to geometrical and physical problems. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system. In this case we are interested in integral manifolds on which certain coordinates remain independent. The corresponding notion in exterior differential systems is the independence condition: certain pfaffian forms remain linearly indepen dent. Partial differential equations and exterior differential systems with an independence condition are essentially the same object.
Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Mohamed Ben Ayed
Publisher : Cambridge University Press
ISBN 13 : 1108431631
Total Pages : 471 pages
Book Rating : 4.1/5 (84 download)
Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
Author : Agostino Prastaro
Publisher : World Scientific
ISBN 13 : 9789810214074
Total Pages : 482 pages
Book Rating : 4.2/5 (14 download)
Download or read book Geometry in Partial Differential Equations written by Agostino Prastaro and published by World Scientific. This book was released on 1994 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
