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61 Ignatieff, Yurie A The Mathematical World of Walter Noll I02048 1996 eBook  
62 Antoniou, Ioannis Solitons and Chaos I01955 1991 eBook  
63 Exner, Pavel Applications of Self-Adjoint Extensions in Quantum Physics I01906 1989 eBook  
64 Roy, Archie E Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems I01905 1988 eBook  
65 Feng, Kang Mathematical Theory of Elastic Structures I01751 1996 eBook  
66 Ruymgaart, Peter A Mathematics of Kalman-Bucy Filtering I01720 1988 eBook  
67 Haag, Rudolf Local Quantum Physics I01643 1996 eBook  
68 Bucy, S Nonlinear Stochastic Problems I01632 1983 eBook  
69 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I01250 1997 eBook  
70 Arkeryd, Leif O Nonstandard Analysis I01155 1997 eBook  
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61.    
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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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62.     
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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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63.     
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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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64.     
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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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65.     
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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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66.     
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TitleMathematics of Kalman-Bucy Filtering
Author(s)Ruymgaart, Peter A;Soong, Tsu T
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1988.
DescriptionXII, 170 p : online resource
Abstract NoteThe second edition has not deviated significantly from the first. The printing of this edition, however, has allowed us to make a number of corrections which escaped our scrutiny at the time of the first printing, and to generally improve and tighten our presentation of the material. Many of these changes were suggested to us by colleagues and readers and their kindness in doing so is greatly appreciated. Delft, The Netherlands and P. A. Ruymgaart Buffalo, New York, December, 1987 T. T. Soong Preface to the First Edition Since their introduction in the mid 1950s, the filtering techniques developed by Kalman, and by Kalman and Bucy have been widely known and widely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but as all also in the social sciences, biological sciences, medical sciences, as well other physical sciences. Despite all the good that has come out of this devel?? opment, however, there have been misuses because the theory has been used mainly as a tool or a procedure by many applied workers without fully understanding its underlying mathematical workings. This book addresses a mathematical approach to Kalman-Bucy filtering and is an outgrowth of lectures given at our institutions since 1971 in a sequence of courses devoted to Kalman-Bucy filters
ISBN,Price9783642733413
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Coding and Information Theory 4. CODING THEORY 5. EBOOK 6. EBOOK - SPRINGER 7. INFORMATION THEORY 8. MATHEMATICAL ANALYSIS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. Statistics, general 12. Statistics??
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67.     
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TitleLocal Quantum Physics : Fields, Particles, Algebras
Author(s)Haag, Rudolf
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1996.
DescriptionXV, 390 p : online resource
Abstract NoteThis textbook gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes the physical concepts, the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, and the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author, one of the most original researchers in this field, takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory. "Under his influence the synthesis of relativity, quantum theory and the theory of operator algebras now called algebraic quantum field theory has proven itself to be extremely flexible and powerful. /.../ This book is by no means the summa of the field of algebraic quantum field theory" Stephen J. Summers, Gainesville, FL, Mathematical Reviews, Issue 94d, USA 1994 "Indeed, both the expert in the field and the novice will enjoy Haag's insightful exposition of the basic physics behind the abstract mathematics, and his unique way of making complicated mathematical theorems plausible without getting bogged down in tedious details. /.../ This book is bound to occupy a place on a par with other classics in the mathematical physics literature." Meinhard E. Mayer, University of California, Irvine, Physics Today, May 1993
ISBN,Price9783642614583
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL ANALYSIS 8. Mathematical Methods in Physics 9. PHYSICS 10. QUANTUM FIELD THEORY 11. QUANTUM PHYSICS
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68.     
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TitleNonlinear Stochastic Problems
Author(s)Bucy, S;Moura, J.M.F
PublicationDordrecht, Springer Netherlands, 1983.
DescriptionXII, 623 p : online resource
Abstract NoteThis volume corresponds to the invited lectures and advanced research papers presented at the NATD Advanced Study Institute on Nonlinear Stochastic Problems with emphasis on Identification, Signal Processing, Control and Nonlinear Filtering held in Algarve (Portugal), on May 1982. The book is a blend of theoretical issues, algorithmic implementation aspects, and application examples. In many areas of science and engineering, there are problems which are intrinsically nonlinear 3nd stochastic in nature. Clear examples arise in identification and mOdeling, signal processing, nonlinear filtering, stochastic and adaptive conLrol. The meeting was organized because it was felt that there is a need for discussion of the methods and philosophy underlying these different areas, and in order to communicate those approaches that have proven to be effective. As the computational technology progresses, more general approaches to a number of problems which have been treated previously by linearization and perturbation methods become feasible and rewarding
ISBN,Price9789400971424
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS 6. PROBABILITIES 7. Probability Theory and Stochastic Processes
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69.     
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliot H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXI, 676 p : online resource
Abstract NoteThe first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap?? propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B ?? N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1?? B ?? N , 3 (iv) B "' N , 3 (v) B ?? N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B ?? N, (ii) B "'N
ISBN,Price9783662034361
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. MATHEMATICAL ANALYSIS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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70.    
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TitleNonstandard Analysis : Theory and Applications
Author(s)Arkeryd, Leif O;Cutland, Nigel J;Henson, C. Ward
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXIV, 366 p : online resource
Abstract Note1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im?? portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re?? cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap?? proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli?? cability of NSA more widely known and available to research mathemati?? cians
ISBN,Price9789401155441
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Fluid- and Aerodynamics 9. FLUIDS 10. FUNCTIONAL ANALYSIS 11. MATHEMATICAL ANALYSIS 12. PROBABILITIES 13. Probability Theory and Stochastic Processes
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