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Technische DynamikIn diesem Lehrbuch werden die heute gebräuchlichen Berechnungsmethoden auf einer gemeinsamen Basis dargestellt. So lassen sich die Methoden der Mehrkörpersysteme, der Finiten Elemente und der kontinuierlichen Systeme in einheitlicher Weise behandeln. Dies vermittelt den Studierenden ein tieferes Verständnis und ermöglicht den Ingenieuren eine sichere Beurteilung der Berechnungsergebnisse. Die Technische Dynamik, ein  Fachgebiet der Technischen Mechanik, ist  eine weit verzweigte Wissenschaft mit Anwendungen im Maschinen- und Fahrzeugbau, in der Raumfahrt und der Regelungstechnik bis hin zur biomedizinischen Technik.Der InhaltAufgaben der technischen Dynamik - Modellbildung mechanischer Systeme - Kinematische Grundlagen - Kinetische Grundlagen - Prinzipe der Mechanik - Mehrkörpersysteme - Finite-Elemente-Systeme - Kontinuierliche Systeme - Zustandsgleichungen mechanischer Systeme - Numerische Verfahren. Die ZielgruppeStudierende der Ingenieurwissenschaften an Universitäten und Hochschulen sowie Berechnungsingenieure in der industriellen Praxis. Die AutorenProf. Dr.-Ing. Werner Schiehlen lehrte an der Technischen Universität München und der Universität Stuttgart.Prof. Dr.-Ing. Peter Eberhard ist Professor für Technische Mechanik und Direktor des Instituts für Technische und Numerische Mechanik an der Universität Stuttgart.

Mechanics. --- Mechanics, Applied. --- Mechanical engineering. --- Mathematical physics. --- Theoretical and Applied Mechanics. --- Mechanical Engineering. --- Mathematical Applications in the Physical Sciences.

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Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.

Symplectic and contact topology. --- Mathematical physics. --- Geometry. --- Mathematical Methods in Physics. --- Mathematical Applications in the Physical Sciences. --- Mathematical Physics. --- Physical mathematics --- Physics --- Mathematics --- Euclid's Elements --- Topology, Symplectic and contact --- Differential topology --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles.  The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily been applied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science and statistical mechanics of isolated finite quantum systems can also be addressed using these ensembles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling of more complex physical systems and interactions, with applications such as statistical spectroscopy in mind.   .

Mathematical physics. --- Quantum theory. --- Random matrices. --- Physical mathematics --- Physics --- Matrices, Random --- Matrices --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Mathematics --- Nuclear physics. --- Quantum Physics. --- Mathematical Applications in the Physical Sciences. --- Nuclear Physics, Heavy Ions, Hadrons. --- Mathematical Methods in Physics. --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Quantum physics. --- Heavy ions. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Ions

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This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.

Mathematical statistics. --- Percolation (Statistical physics) --- Lattice theory --- Statistical physics --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods --- Distribution (Probability theory. --- Numerical analysis. --- Probability Theory and Stochastic Processes. --- Numerical Analysis. --- Mathematical Applications in the Physical Sciences. --- Mathematical analysis --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities. --- Mathematical physics. --- Physical mathematics --- Physics --- Probability --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk

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This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics. It focuses on models involving quasi-neutrality approximation, problems related to laser propagation in a plasma, and coupling plasma waves and electromagnetic waves. Applied mathematicians will find a stimulating introduction to the world of plasma physics and a few open problems that are mathematically rich. Physicists who may be overwhelmed by the abundance of models and uncertain of their underlying assumptions will find basic mathematical properties of the related systems of partial differential equations. A planned second volume will be devoted to kinetic models.                                                                                                                                                        First and foremost, this book mathematically derives certain common fluid models from more general models. Although some of these derivations may be well known to physicists, it is important to highlight the assumptions underlying the derivations and to realize that some seemingly simple approximations turn out to be more complicated than they look. Such approximations are justified using asymptotic analysis wherever possible. Furthermore, efficient simulations of multi-dimensional models require precise statements of the related systems of partial differential equations along with appropriate boundary conditions. Some mathematical properties of these systems are presented which offer hints to those using numerical methods, although numerics is not the primary focus of the book.

Engineering & Applied Sciences --- Applied Physics --- Plasma (Ionized gases) --- Mathematical physics. --- Mathematics. --- Mathematical models. --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Math --- Physical mathematics --- Physics --- Mathematics --- Partial differential equations. --- Physics. --- Plasma (Ionized gases). --- Mathematical Applications in the Physical Sciences. --- Plasma Physics. --- Mathematical Methods in Physics. --- Partial Differential Equations. --- Science --- Ionized gases --- Differential equations, partial. --- Partial differential equations --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics