Geometry Of Pdes And Mechanics PDF Download
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| 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 | : Yves Talpaert |
| Publisher | : CRC Press |
| Total Pages | : 480 |
| Release | : 2000-09-12 |
| Genre | : Mathematics |
| ISBN | : 9780824703851 |
Download Differential Geometry with Applications to Mechanics and Physics Book in PDF, ePub and Kindle
An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
| Author | : Ovidiu Calin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 285 |
| Release | : 2006-03-15 |
| Genre | : Mathematics |
| ISBN | : 0817644210 |
Download Geometric Mechanics on Riemannian Manifolds Book in PDF, ePub and Kindle
* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics
| Author | : Agostino Prastaro |
| Publisher | : World Scientific |
| Total Pages | : 762 |
| Release | : 1996-06-20 |
| Genre | : Science |
| ISBN | : 9814499498 |
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 | : 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 | : Gui-Qiang G. Chen |
| Publisher | : Springer |
| Total Pages | : 384 |
| Release | : 2015-08-11 |
| Genre | : Mathematics |
| ISBN | : 331918573X |
Download Differential Geometry and Continuum Mechanics Book in PDF, ePub and Kindle
This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.
| 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 | : Walter A. Strauss |
| Publisher | : John Wiley & Sons |
| Total Pages | : 467 |
| Release | : 2007-12-21 |
| Genre | : Mathematics |
| ISBN | : 0470054565 |
Download Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Maurice A. de Gosson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 375 |
| Release | : 2006-08-06 |
| Genre | : Mathematics |
| ISBN | : 3764375752 |
Download Symplectic Geometry and Quantum Mechanics Book in PDF, ePub and Kindle
This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.
| Author | : Yves Talpaert |
| Publisher | : Walter de Gruyter |
| Total Pages | : 600 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9789067644570 |
Download Mechanics in Differential Geometry Book in PDF, ePub and Kindle
This course and reference book is autonomous and is based on differential geometry in a practical way with symplectic geometry as a tool. Didactic comparisons, diagrams, exercises highlight modern mechanics. Principles, canonical forms, perturbations, stability, qualitative dynamics, and more precede an original Fourier transforms method.
