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The Inverse Problem of the Calculus of Variations
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general rela…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-109-3
- Collation
- IX, 289, 3 illustrations in colour
- Series Title
- Atlantis Studies in Variational Geometry
- Call Number
- -
Noether's Theorems:Applications in Mechanics and Field Theory
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very g…
- Edition
- 1
- ISBN/ISSN
- 978-94-6239-170-3
- Collation
- XVII, 297
- Series Title
- Atlantis Studies in Variational Geometry
- Call Number
- -
Effects of Magnetoelastic Interactions in Conductive Plates and Shells
This book investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields. It introduces the main principles and derives basic equations and relations describing interconnected mechanical and electromagnetic processes in deformable electro conductive bodies placed in an external inhomogeneous magnetic field and under the in…
- Edition
- -
- ISBN/ISSN
- 978-3-319-19162-1
- Collation
- -
- Series Title
- -
- Call Number
- -
Computational Electromagnetism Cetraro, Italy 2014
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro …
- Edition
- -
- ISBN/ISSN
- 978-3-319-19306-9
- Collation
- -
- Series Title
- -
- Call Number
- -
Asymptotic methods in mechanics of solids
The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a gener…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18311-4
- Collation
- -
- Series Title
- -
- Call Number
- -
The Nonlinear Schrödinger Equation: Singular Solutions and Optical Collapse
The Nonlinear Schrödinger Equation will be useful to graduate students and researchers in applied mathematics who are interested in singular solutions of partial differential equations, nonlinear optics and nonlinear waves, and to graduate students and researchers in physics and engineering who are interested in nonlinear optics and Bose-Einstein condensates. It can be used for courses on part…
- Edition
- -
- ISBN/ISSN
- 978-3-319-12748-4
- Collation
- XXXI, 862
- Series Title
- Applied Mathematical Sciences
- Call Number
- -
Manuale di Ottica
Questo libro costituisce un fondamento solido per la conoscenza dell’Ottica Fisica, presentando vari modi di trattare la propagazione di onde elettromagnetiche e indicando quali siano i metodi utili a specifici casi. Iniziando dall’elettromagnetismo, la riflessione, la rifrazione e la dispersione delle onde, espone argomenti quali l’Ottica Geometrica, l’Interferenza, la Diffrazione, la …
- Edition
- -
- ISBN/ISSN
- 978-88-470-5744-9
- Collation
- -
- Series Title
- -
- Call Number
- -
X-Ray Absorption Spectroscopy of Semiconductors
X-ray Absorption Spectroscopy (XAS) is a powerful technique with which to probe the properties of matter, equally applicable to the solid, liquid and gas phases. Semiconductors are arguably our most technologically-relevant group of materials given they form the basis of the electronic and photonic devices that now so widely permeate almost every aspect of our society. The most effective utilis…
- Edition
- -
- ISBN/ISSN
- 978-3-662-44362-0
- Collation
- -
- Series Title
- -
- Call Number
- -
All-Optical Signal Processing: Data Communication and Storage Applications
This book provides a comprehensive review of the state-of-the art of optical signal processing technologies and devices. It presents breakthrough solutions for enabling a pervasive use of optics in data communication and signal storage applications. It presents presents optical signal processing as solution to overcome the capacity crunch in communication networks. The book content ranges from …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-14992-9
- Collation
- XX, 512
- Series Title
- Springer Series in Optical Sciences
- Call Number
- 621.32 ALL a
The Inverse Problem of the Calculus of Variations
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general rela…
- Edition
- -
- ISBN/ISSN
- 978-94-6239-109-3
- Collation
- IX, 289
- Series Title
- Atlantis Studies in Variational Geometry
- Call Number
- -
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