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41 Feldman, Joel S ???QED A Proof of Renormalizability??? I04086 1988 eBook  
42 Chisholm, J.S.R Clifford Algebras and Their Applications in Mathematical Physics I04081 1986 eBook  
43 Rabinowitz, P.H Periodic Solutions of Hamiltonian Systems and Related Topics I04003 1987 eBook  
44 Bouche, Daniel Asymptotic Methods in Electromagnetics I03773 1997 eBook  
45 Fokas, A.S Nonlinear Processes in Physics I03642 1993 eBook  
46 Singh, S.P Approximation Theory, Wavelets and Applications I03623 1995 eBook  
47 Barut, P Nonlinear Equations in Physics and Mathematics I03574 1978 eBook  
48 Singh, S.P Nonlinear Functional Analysis and Its Applications I03572 1986 eBook  
49 Fokas, A.S Important Developments in Soliton Theory I03511 1993 eBook  
50 Berezin, F.A Introduction to Superanalysis I03463 1987 eBook  
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41.    
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Title???QED A Proof of Renormalizability???
Author(s)Feldman, Joel S;Hurd, Thomas R;Rosen, Lon;Wright, Jill D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1988.
DescriptionVII, 176 p : online resource
Abstract NoteThe authors give a detailed and pedagogically well written proof of the renormalizability of quantum electrodynamics in four dimensions. The proof is based on the free expansion of Gallavotti and Nicol?? and is mathematically rigorous as well as impressively general. It applies to rather general models of quantum field theory including models with infrared or ultraviolet singularities, as shown in this monograph for the first time. Also discussed are the loop regularization for renormalized graphs and the Ward identities. The authors also establish that in QED in four dimensions only gauge invariant counterterms are required. This seems to be the first proof which will be accessible not only to the expert but also to the student
ISBN,Price9783540459538
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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42.     
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TitleClifford Algebras and Their Applications in Mathematical Physics
Author(s)Chisholm, J.S.R;Common, A.K
PublicationDordrecht, Springer Netherlands, 1986.
DescriptionXX, 592 p : online resource
Abstract NoteWilliam Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs?? Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject
ISBN,Price9789400947283
Keyword(s)1. ALGEBRA 2. ANALYSIS 3. Analysis (Mathematics) 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICAL ANALYSIS
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43.     
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TitlePeriodic Solutions of Hamiltonian Systems and Related Topics
Author(s)Rabinowitz, P.H;Ambrosetti, A;Ekeland, I;Zehnder, E.J
PublicationDordrecht, Springer Netherlands, 1987.
DescriptionXI, 284 p : online resource
Abstract NoteThis volume contains the proceedings of a NATO Advanced Research Workshop on Periodic Solutions of Hamiltonian Systems held in II Ciocco, Italy on October 13-17, 1986. It also contains some papers that were an outgrowth of the meeting. On behalf of the members of the Organizing Committee, who are also the editors of these proceedings, I thank all those whose contributions made this volume possible and the NATO Science Committee for their generous financial support. Special thanks are due to Mrs. Sally Ross who typed all of the papers in her usual outstanding fashion. Paul H. Rabinowitz Madison, Wisconsin April 2, 1987 xi 1 PERIODIC SOLUTIONS OF SINGULAR DYNAMICAL SYSTEMS Antonio Ambrosetti Vittorio Coti Zelati Scuola Normale Superiore SISSA Piazza dei Cavalieri Strada Costiera 11 56100 Pisa, Italy 34014 Trieste, Italy ABSTRACT. The paper contains a discussion on some recent advances in the existence of periodic solutions of some second order dynamical systems with singular potentials. The aim of this paper is to discuss some recent advances in th.e existence of periodic solutions of some second order dynamical systems with singular potentials
ISBN,Price9789400939332
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS
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44.     
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TitleAsymptotic Methods in Electromagnetics
Author(s)Bouche, Daniel;Molinet, Frederic;Mittra, Raj
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXXII, 526 p : online resource
Abstract NoteNumerically rigorous techniques for the computation of electromagnetic fields diffracted by an object become computationally intensive, if not impractical to handle, at high frequencies and one must typically resort to aymptotic methods to solve the scattering problem at short wavelengths. The asymptotic methods not only provide closed form expansions for the diffracted fields, but they are also useful for eliciting physical interpretations of the various diffraction phenomena. One of the principal objectives of this book is to discuss the different asymptotic methods in a unified manner. Although, for the sake of convenience, the book contains explicit formulas for computing the field diffracted by conducting or dielectric-coated objects, it also provides the mathematical foundations of the different methods and explains how they are interrelated. The book will, therefore, help the reader acquire both a working knowledge and a theoretical understanding of the different methods for solving electromagnetic scattering problems at high frequencies
ISBN,Price9783642605178
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CLASSICAL ELECTRODYNAMICS 4. Communications Engineering, Networks 5. EBOOK 6. EBOOK - SPRINGER 7. ELECTRICAL ENGINEERING 8. ELECTRODYNAMICS 9. MATHEMATICAL ANALYSIS 10. MATHEMATICAL PHYSICS 11. NUCLEAR PHYSICS 12. OPTICS 13. Particle and Nuclear Physics 14. Theoretical, Mathematical and Computational Physics
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45.     
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TitleNonlinear Processes in Physics : Proceedings of the III Potsdam ??? V Kiev Workshop at Clarkson University, Potsdam, NY, USA, August 1???11, 1991
Author(s)Fokas, A.S;Kaup, D.J;Newell, A.C;Zakharov, V.E
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1993.
DescriptionXV, 343 p : online resource
Abstract NoteIn 1979, a historical meeting took place at the Institute for Theoretical Physics in Kiev, USSR, where 48 American Scientists, specialists in nonlinear and turbulent processes, met for two weeks with their soviet counterparts. This meeting pro?? vided the unique opportunity for USA and USSR participants to directly interact personally and scientifically with each other. This interaction was of great impor?? not only for the individuals involved but also for the science of nonlinear tance phenomena in general. At the end of the meeting, it was agreed that this exchange should continue, and it was decided to have the next meeting in the USA in 1981. Unfortunately, due to the political situation at that time, the second meeting in the USA never materialized. However, in 1983, the Soviet scientists organized in Kiev a second Workshop. This second meeting was again quite successful. Similar meetings, with growing success were organized at Kiev in 1987, and 1989. It should be noted that 405 participants from 22 countries participated at the fourth Kiev workshop on Nonlinear and Turbulent Processes. The Chainnan of this workshop was V. Zakharov, who has also been a co-chainnan of all the previous workshops
ISBN,Price9783642777691
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL ANALYSIS 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems
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46.     
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TitleApproximation Theory, Wavelets and Applications
Author(s)Singh, S.P
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXXIV, 572 p : online resource
Abstract NoteApproximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Pad?? theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences
ISBN,Price9789401585774
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. APPROXIMATION THEORY 4. Approximations and Expansions 5. EBOOK 6. EBOOK - SPRINGER 7. FUNCTIONAL ANALYSIS 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. MATHEMATICAL ANALYSIS 11. MATHEMATICS 12. Mathematics, general 13. Operational calculus 14. OPERATOR THEORY
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47.     
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TitleNonlinear Equations in Physics and Mathematics : Proceedings of the NATO Advanced Study Institute held in Istanbul, Turkey, August 1???13, 1977
Author(s)Barut, P
PublicationDordrecht, Springer Netherlands, 1978.
DescriptionX, 474 p : online resource
Abstract NoteThis is the third Volume in a series of books devoted to the interdisciplinary area between mathematics and physics, all ema?? nating from the Advanced Study Institutes held in Istanbul in 1970, 1972 and 1977. We believe that physics and mathematics can develop best in harmony and in close communication and cooper?? ation with each other and are sometimes inseparable. With this goal in mind we tried to bring mathematicians and physicists together to talk and lecture to each other-this time in the area of nonlinear equations. The recent progress and surge of interest in nonlinear ordi?? nary and partial differential equations has been impressive. At the same time, novel and interesting physical applications mul?? tiply. There is a unifying element brought about by the same characteristic nonlinear behavior occurring in very widely differ?? ent physical situations, as in the case of "solitons," for exam?? ple. This Volume gives, we believe, a very good indication over all of this recent progress both in theory and applications, and over current research activity and problems. The 1977 Advanced Study Institute was sponsored by the NATO Scientific Affairs Division, The University of the Bosphorus and the Turkish Scientific and Technical Research Council. We are deeply grateful to these Institutions for their support, and to lecturers and participants for their hard work and enthusiasm which created an atmosphere of lively scientific discussions
ISBN,Price9789400998919
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS
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48.     
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TitleNonlinear Functional Analysis and Its Applications
Author(s)Singh, S.P
PublicationDordrecht, Springer Netherlands, 1986.
Description430 p : online resource
Abstract NoteA NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee
ISBN,Price9789400946323
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL ANALYSIS
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49.     
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TitleImportant Developments in Soliton Theory
Author(s)Fokas, A.S;Zakharov, V.E
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1993.
DescriptionIX, 559 p : online resource
Abstract NoteIn the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field
ISBN,Price9783642580451
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. MATHEMATICAL ANALYSIS 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems
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50.    
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TitleIntroduction to Superanalysis
Author(s)Berezin, F.A;Kirillov, A.A
PublicationDordrecht, Springer Netherlands, 1987.
DescriptionXII, 424 p : online resource
ISBN,Price9789401719636
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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