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51 Rascle, Michel PDEs and Continuum Models of Phase Transitions I02844 1989 eBook  
52 Truesdell, C The Non-Linear Field Theories of Mechanics I02500 1992 eBook  
53 Grosche, Christian Handbook of Feynman Path Integrals I02485 1998 eBook  
54 Kaper, H.G Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters I02382 1993 eBook  
55 Peitgen, H.-O Newton???s Method and Dynamical Systems I02075 1989 eBook  
56 Ignatieff, Yurie A The Mathematical World of Walter Noll I02048 1996 eBook  
57 Antoniou, Ioannis Solitons and Chaos I01955 1991 eBook  
58 Exner, Pavel Applications of Self-Adjoint Extensions in Quantum Physics I01906 1989 eBook  
59 Roy, Archie E Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems I01905 1988 eBook  
60 Feng, Kang Mathematical Theory of Elastic Structures I01751 1996 eBook  
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51.    
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TitlePDEs and Continuum Models of Phase Transitions : Proceedings of an NSF-CNRS Joint Seminar Held in Nice, France, January 18???22, 1988
Author(s)Rascle, Michel;Serre, Denis;Slemrod, Marshall
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1989.
DescriptionVII, 232 p. 64 illus : online resource
Abstract NoteThe study of phase transitions is one of the fundamental problems of physics. The goal of this seminar was to understand better the spectacular progress made recently in constructing continuum models. Concentrating on a few examples such as the microstructure of crystals, defects in liquid crystals and liquid-vapor interfaces, several key points are described, for example the structure and evolution of the interfaces, regularization via interfacial energy, and equilibrium theories. The mathematical treatment of these questions involves large-oscillation theories (Young's measures, compensated compactness), spectral theory, admissibility of shock waves, long-time behavior of dynamical systems, high-order perturbations, group actions, solitons, and others
ISBN,Price9783540467175
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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52.     
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TitleThe Non-Linear Field Theories of Mechanics
Author(s)Truesdell, C;Noll, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1992.
DescriptionX, 591 p. 18 illus : online resource
Abstract NoteThis volume is a second, corrected edition of The Non-Linear Field Theories of Mechanics, which first appeared as Volume IIII3 of the Encyclopaedia of Physics, 1965. Its principal aims were to replace the conceptural, terminological, and notational chaos that existed in the literature of the field by at least a modicum of order and coherence, and second, to describe, or at least to summarize, everything that was both known and worth knowing in the field at the time. Inspecting the literature that has appeared since then, we conclude that the first aim was achieved to some degree. Many of the concepts, terms, and notations we introduced have become more or less standard, and thus communication among researchers in the field has been eased. On the other hand, some ill-chosen terms are still current. Examples are the use of "configuration" and "deformation" for what we should have called, and now call, "placement" and "transplacement", respectively. (To classify translations and rotations as deformations clashes too severely with the dictionary meaning of the latter.) We believe that the second aim was largely achieved also. We have found little published before 1965 that should have been included in the treatise but was not. However, a large amount of relevant literature has appeared since 1965, some of it important. As a result, were the treatise to be written today, it should be very different
ISBN,Price9783662131831
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CLASSICAL MECHANICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MECHANICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems
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I02500     On Shelf    

53.     
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TitleHandbook of Feynman Path Integrals
Author(s)Grosche, Christian;Steiner, Frank
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1998.
DescriptionX, 451 p : online resource
Abstract NoteThe Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman published his pioneering paper in 1948 entitled "Space-Time Approach to Non-Relativistic Quantum Mechanics", in which he introduced his new formulation of quantum mechanics in terms of path integrals. The book presents for the first time a comprehensive table of Feynman path integrals together with an extensive list of references; it will serve the reader as a thorough introduction to the theory of path integrals. As a reference book, it is unique in its scope and will be essential for many physicists, chemists and mathematicians working in different areas of research
ISBN,Price9783540479161
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL ANALYSIS 8. MATHEMATICAL PHYSICS 9. NUCLEAR PHYSICS 10. Particle and Nuclear Physics 11. QUANTUM PHYSICS 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theoretical, Mathematical and Computational Physics
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54.     
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TitleAsymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters
Author(s)Kaper, H.G;Garbey, Marc
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXVIII, 372 p : online resource
Abstract NoteThis volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptotic-induced Numerical Methods for Partial Differ?? ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 25-28, 1992. The purpose of the workshop was to stimulate the integration of asymp?? totic analysis, domain decomposition methods, and symbolic manipulation tools for the numerical solution of partial differential equations (PDEs) with critical parameters. A workshop on the same topic was held at Argonne Na?? tional Laboratory in February 1990. (The proceedings were published under the title Asymptotic Analysis and the Numerical Solu.tion of Partial Differ?? ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture Notes in Pure and Applied Mathematics. Vol. 130, ??Marcel Dekker, Inc., New York, 1991.) In a sense, the present proceedings represent a progress report on the topic area. Comparing the two sets of proceedings, we see an increase in the quantity as well as the quality of the contributions. 110re research is being done in the topic area, and the interest covers serious, nontrivial problems. We are pleased with this outcome and expect to see even more advances in the next few years as the field progresses
ISBN,Price9789401118101
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. Numeric Computing 7. NUMERICAL ANALYSIS 8. PARTIAL DIFFERENTIAL EQUATIONS
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55.     
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TitleNewton???s Method and Dynamical Systems
Author(s)Peitgen, H.-O
PublicationDordrecht, Springer Netherlands, 1989.
DescriptionIV, 226 p : online resource
ISBN,Price9789400922815
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. COMPLEX SYSTEMS 4. COMPUTER GRAPHICS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MATHEMATICAL LOGIC 10. Mathematical Logic and Foundations 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems
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I02075     On Shelf    

56.     
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TitleThe Mathematical World of Walter Noll : A Scientific Biography
Author(s)Ignatieff, Yurie A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1996.
DescriptionX, 254 p : online resource
Abstract NoteThis book is a comprehensive study of the life and mathematics of Walter Noll, who helped to create the mathematical tools of modern rational mechanics and thermodynamics. Noll is one of the brilliant mathematicians of the second part of the 20th century. His contribution is large in both the applied and pure mathematics. The book stresses particularly Noll's method of axiomatization of physical theories, his axiomatics of continuum mechanics, thermodynamics of materials, special relativity theory, his discovery of the neo-classical space-time of mechanics, his theories of inhomogeneities in simple bodies, fit regions, contact interactions, annihilators of linear differential operators, and finite-dimensional spaces. It is a must for every mathematician, physicist, engineer or graduate student as a reference and key to Noll's mathematical heritage
ISBN,Price9783642798337
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. Fluid- and Aerodynamics 7. FLUIDS 8. MATHEMATICAL ANALYSIS 9. Mathematical Methods in Physics 10. MECHANICS 11. Numerical and Computational Physics, Simulation 12. PHYSICS
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I02048     On Shelf    

57.     
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TitleSolitons and Chaos
Author(s)Antoniou, Ioannis;Lambert, Franklin J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionXVI, 336 p. 4 illus : online resource
Abstract Note"Solitons and Chaos" is a response to the growing interest in systems exhibiting these two complementary manifestations of nonlinearity. The papers cover a wide range of topics but share common mathematical notions and investigation techniques. An introductory note on eight concepts of integrability has been added as a guide for the uninitiated reader. Both specialists and graduate students will find this update on the state ofthe art useful. Key points: chaos vs. integrability; solitons: theory and applications; dissipative systems; Hamiltonian systems; maps and cascades; direct vs. inverse methods; higher dimensions; Lie groups, Painleve analysis, numerical algorithms; pertubation methods
ISBN,Price9783642845703
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. LASERS 8. MATHEMATICAL ANALYSIS 9. MATHEMATICS 10. Mathematics, general 11. Optics, Lasers, Photonics, Optical Devices 12. PHOTONICS 13. QUANTUM OPTICS 14. STATISTICAL PHYSICS 15. Statistical Physics and Dynamical Systems
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58.     
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TitleApplications of Self-Adjoint Extensions in Quantum Physics : Proceedings of a Conference Held at the Laboratory of Theoretical Physics, JINR, Dubna, USSR, September 29???October 1, 1987
Author(s)Exner, Pavel;Seba, Petr
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1989.
DescriptionX, 275 p. 3 illus : online resource
Abstract NoteThe shared purpose in this collection of papers is to apply the theory of self-adjoint extensions of symmetry operators in various areas of physics. This allows the construction of exactly solvable models in quantum mechanics, quantum field theory, high energy physics, solid-state physics, microelectronics and other fields. The 20 papers selected for these proceedings give an overview of this field of research unparallelled in the published literature; in particular the views of the leading schools are clearly presented. The book will be an important source for researchers and graduate students in mathematical physics for many years to come. In these proceedings, researchers and graduate students in mathematical physics will find ways to construct exactly solvable models in quantum mechanics, quantum field theory, high energy physics, solid-state physics, microelectronics and other fields
ISBN,Price9783540461043
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. QUANTUM COMPUTERS 7. Quantum Information Technology, Spintronics 8. QUANTUM PHYSICS 9. SPINTRONICS
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59.     
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TitleLong-Term Dynamical Behaviour of Natural and Artificial N-Body Systems
Author(s)Roy, Archie E
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionXVII, 526 p : online resource
Abstract NoteThe reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 3 and August 13, 1987 under the title "Long Term Dynamical Behaviour of Natural and Artificial N-body Systems". The Institute was the latest in a series held in 1972, 1975, 1978, 1981, 1984 in dynamical astronomy, theoretical mechanics and celestial mechanics under the Directorship of Professor Victor Szebehely. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received and valuable Proceedings. In correspondence with Professor Szebehely and in long discussions with him in Colorado in August 1985, I agreed to his request that I undertake the preparation of a new ASI. I was happy to do so knowing I could call upon his vast experience in overseeing such ASI's. The last quarter century has been a period in which increasingly rapid progress has been made in celestial mechanics and related subjects not only because of the appearance of new problems urgently requiring solution but also because of the advent of new analytical techniques and powerful computer hardware and software
ISBN,Price9789400930537
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Astronomy, Observations and Techniques 4. Astronomy???Observations 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL ANALYSIS 8. Observations, Astronomical
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I01905     On Shelf    

60.    
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TitleMathematical Theory of Elastic Structures
Author(s)Feng, Kang;Shi, Zhong-Ci
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1996.
DescriptionXI, 395 p. 18 illus : online resource
Abstract NoteThe book covers three main topics: the classical theory of linear elasticity, the mathematical theory of composite elastic structures, as an application of the theory of elliptic equations on composite manifolds developed by the first author, and the finite element method for solving elastic structural problems. The authors treat these topics within the framework of a unified theory. The book carries on a theoretical discussion on the mathematical basis of the principle of minimum potential theory. The emphasis is on the accuracy and completeness of the mathematical formulation of elastic structural problems. The book will be useful to applied mathematicians, engineers and graduate students. It may also serve as a course in elasticity for undergraduate students in applied sciences
ISBN,Price9783662032862
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. APPLIED MATHEMATICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MATHEMATICAL ANALYSIS 8. Mathematical and Computational Engineering 9. MATHEMATICAL PHYSICS 10. MECHANICS 11. Mechanics, Applied 12. NUMERICAL ANALYSIS 13. Theoretical and Applied Mechanics 14. Theoretical, Mathematical and Computational Physics
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