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31 Hoppe, Jens Lectures on Integrable Systems I04993 1992 eBook  
32 Golden, John M Boundary Value Problems in Linear Viscoelasticity I04967 1988 eBook  
33 Bohm, Arno Irreversibility and Causality I04845 1998 eBook  
34 Garnir, H.G Advances in Microlocal Analysis I04818 1986 eBook  
35 Blanchard, Philippe Variational Methods in Mathematical Physics I04789 1992 eBook  
36 Ciarlet, P.G Trends and Applications of Pure Mathematics to Mechanics I04768 1984 eBook  
37 Newton, Roger G Inverse Schr??dinger Scattering in Three Dimensions I04718 1989 eBook  
38 Gurzadyan, V.G Ergodic Concepts in Stellar Dynamics I04656 1994 eBook  
39 Chadan, Khosrow Inverse Problems in Quantum Scattering Theory I04650 1989 eBook  
40 Helffer, Bernard Semi-Classical Analysis for the Schr??dinger Operator and Applications I04575 1988 eBook  
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31.    
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TitleLectures on Integrable Systems
Author(s)Hoppe, Jens
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1992.
DescriptionVII, 111 p : online resource
Abstract NoteMainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-matrices for Calogero-Moser systems and Toda lattices are derived. Lax pairs for nontrivial infinite dimensionalsystems are constructed as limits of classical matrix algebras. The reader will find explanations of the approach to integrable field theories, to spectral transform methods and to solitons. New methods are proposed, thus helping students not only to understand established techniques but also to interest them in modern research on dynamical systems
ISBN,Price9783540472742
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. MATHEMATICAL PHYSICS 7. Theoretical, Mathematical and Computational Physics
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32.     
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TitleBoundary Value Problems in Linear Viscoelasticity
Author(s)Golden, John M;Graham, George A.C
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1988.
DescriptionXIV, 266 p. 17 illus : online resource
Abstract NoteThe classical theories of Linear Elasticity and Newtonian Fluids, though trium?? phantly elegant as mathematical structures, do not adequately describe the defor?? mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper?? ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874)
ISBN,Price9783662061565
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CLASSICAL MECHANICS 4. CONDENSED MATTER 5. CONDENSED MATTER PHYSICS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. Mathematical Methods in Physics 10. MECHANICS 11. NUMERICAL ANALYSIS 12. Numerical and Computational Physics, Simulation 13. PHYSICS
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33.     
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TitleIrreversibility and Causality : Semigroups and Rigged Hilbert Spaces
Author(s)Bohm, Arno;Doebner, Heinz-Dietrich;Kielanowski, Piotr
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1998.
DescriptionXIX, 388 p : online resource
Abstract NoteThis volume has its origin in the Semigroup Symposium which was organized in connection with the 21st International Colloquium on Group Theoretical Methods in Physics (ICGTMP) at Goslar, Germany, July 16-21, 1996. Just as groups are important tools for the description of reversible physical processes, semigroups are indispensable in the description of irreversible physical processes in which a direction of time is distinguished. There is ample evidence of time asymmetry in the microphysical world. The desire to go beyond the stationary systems has generated much recent effort and discussion regarding the application of semigroups to time-asymmetric processes. The book should be of interest to scientists and graduate students
ISBN,Price9783540697251
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL ANALYSIS 8. Mathematical Methods in Physics 9. Numerical and Computational Physics, Simulation 10. PHYSICS 11. QUANTUM COMPUTERS 12. Quantum Information Technology, Spintronics 13. QUANTUM PHYSICS 14. SPINTRONICS 15. STATISTICAL PHYSICS
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34.     
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TitleAdvances in Microlocal Analysis
Author(s)Garnir, H.G
PublicationDordrecht, Springer Netherlands, 1986.
DescriptionXVII, 390 p : online resource
Abstract NoteThe 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri?? butions which led recently to the birth of a new branch of Mathema?? tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities
ISBN,Price9789400946064
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS
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35.     
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TitleVariational Methods in Mathematical Physics : A Unified Approach
Author(s)Blanchard, Philippe;Br??ning, Erwin
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1992.
DescriptionXII, 410 p : online resource
Abstract NoteThe first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal?? culus of variations in applied mathematics and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990)
ISBN,Price9783642826986
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. Mathematical Methods in Physics 7. Numerical and Computational Physics, Simulation 8. PHYSICS 9. QUANTUM COMPUTERS 10. Quantum Information Technology, Spintronics 11. QUANTUM PHYSICS 12. SPINTRONICS
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36.     
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TitleTrends and Applications of Pure Mathematics to Mechanics : Invited and Contributed Papers presented at a Symposium at Ecole Polytechnique, Palaiseau, France, November 28 ??? December 2, 1983
Author(s)Ciarlet, P.G;Roseau, M
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionV, 422 p. 27 illus : online resource
ISBN,Price9783540388005
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CLASSICAL MECHANICS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MECHANICS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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37.     
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TitleInverse Schr??dinger Scattering in Three Dimensions
Author(s)Newton, Roger G
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1989.
DescriptionX, 170 p : online resource
Abstract NoteMost of the laws of physics are expressed in the form of differential equations; that is our legacy from Isaac Newton. The customary separation of the laws of nature from contingent boundary or initial conditions, which has become part of our physical intuition, is both based on and expressed in the properties of solutions of differential equations. Within these equations we make a further distinction: that between what in mechanics are called the equations of motion on the one hand and the specific forces and shapes on the other. The latter enter as given functions into the former. In most observations and experiments the "equations of motion," i. e. , the structure of the differential equations, are taken for granted and it is the form and the details of the forces that are under investigation. The method by which we learn what the shapes of objects and the forces between them are when they are too small, too large, too remote, or too inaccessi?? ble for direct experimentation, is to observe their detectable effects. The question then is how to infer these properties from observational data. For the theoreti?? cal physicist, the calculation of observable consequences from given differential equations with known or assumed forces and shapes or boundary conditions is the standard task of solving a "direct problem. " Comparison of the results with experiments confronts the theoretical predictions with nature
ISBN,Price9783642836718
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. Mathematical Methods in Physics 7. Numerical and Computational Physics, Simulation 8. PHYSICS 9. QUANTUM COMPUTERS 10. Quantum Information Technology, Spintronics 11. QUANTUM PHYSICS 12. SPINTRONICS
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38.     
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TitleErgodic Concepts in Stellar Dynamics : Proceedings of an International Workshop Held at Geneva Observatory University of Geneva, Switzerland, 1???3 March 1993
Author(s)Gurzadyan, V.G;Pfenniger, D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1994.
DescriptionXVI, 302 p : online resource
Abstract NoteAdvances in the dynamics of stellar systems have been made recently by applying mathematical methods of ergodic theory and chaotic dynamics, by numerous computer simulations, and by observations with the most powerful telescopes. This has led to a considerable change of our view on stellar systems. These systems appear much more chaotic than was previously thought and subject to various instabilities leading to new paths of evolution than previously thought. The implications are fundamental for our views on the evolution of the galaxies and the universe. Such questions are addressed in this book, especially in the 8 review papers by leading experts on various aspects of the N-body problem, explaining at the graduate/postgraduate level the concepts, methods, techniques and results
ISBN,Price9783540483861
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Astronomy, Observations and Techniques 4. Astronomy???Observations 5. ASTROPHYSICS 6. Astrophysics and Astroparticles 7. COMPLEX SYSTEMS 8. DYNAMICAL SYSTEMS 9. EBOOK 10. EBOOK - SPRINGER 11. MATHEMATICAL ANALYSIS 12. Mathematical Methods in Physics 13. Numerical and Computational Physics, Simulation 14. Observations, Astronomical 15. PHYSICS 16. STATISTICAL PHYSICS
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39.     
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TitleInverse Problems in Quantum Scattering Theory
Author(s)Chadan, Khosrow;Sabatier, Pierre C
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1989.
DescriptionXXXI, 499 p : online resource
Abstract NoteThe normal business of physicists may be schematically thought of as predic?? ting the motions of particles on the basis of known forces, or the propagation of radiation on the basis of a known constitution of matter. The inverse problem is to conclude what the forces or constitutions are on the basis of the observed motion. A large part of our sensory contact with the world around us depends on an intuitive solution of such an inverse problem: We infer the shape, size, and surface texture of external objects from their scattering and absorption of light as detected by our eyes. When we use scattering experiments to learn the size or shape of particles, or the forces they exert upon each other, the nature of the problem is similar, if more refined. The kinematics, the equations of motion, are usually assumed to be known. It is the forces that are sought, and how they vary from point to point. As with so many other physical ideas, the first one we know of to have touched upon the kind of inverse problem discussed in this book was Lord Rayleigh (1877). In the course of describing the vibrations of strings of variable density he briefly discusses the possibility of inferring the density distribution from the frequencies of vibration. This passage may be regarded as a precursor of the mathematical study of the inverse spectral problem some seventy years later
ISBN,Price9783642833175
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. Mathematical Methods in Physics 7. Numerical and Computational Physics, Simulation 8. PHYSICS 9. QUANTUM COMPUTERS 10. Quantum Information Technology, Spintronics 11. QUANTUM PHYSICS 12. SPINTRONICS
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40.    
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TitleSemi-Classical Analysis for the Schr??dinger Operator and Applications
Author(s)Helffer, Bernard
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1988.
DescriptionV, 110 p : online resource
Abstract NoteThis introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten's approach for the proof of the Morse inequalities is given, as are recent results for the Schr??dinger operator with periodic potentials
ISBN,Price9783540459132
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. MATHEMATICAL PHYSICS 7. QUANTUM PHYSICS 8. Theoretical, Mathematical and Computational Physics
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