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141 Babu, G. Jogesh Statistical Challenges in Modern Astronomy II I02796 1997 eBook  
142 Chaichian, M Introduction to Gauge Field Theories I02774 1984 eBook  
143 Kerner, B.S Autosolitons I02763 1994 eBook  
144 Maimistov, A.I Nonlinear Optical Waves I02706 1999 eBook  
145 Goles, E Dynamics of Complex Interacting Systems I02696 1996 eBook  
146 Antonelli, P.L Lagrange and Finsler Geometry I02623 1996 eBook  
147 Horsthemke, W Noise-Induced Transitions I02592 1984 eBook  
148 Patil, Ganapati P A Modern Course on Statistical Distributions in Scientific Work I02545 1975 eBook  
149 Clarkson, P.A Applications of Analytic and Geometric Methods to Nonlinear Differential Equations I02446 1993 eBook  
150 Mavromatis, H.A Exercises in Quantum Mechanics I02220 1992 eBook  
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141.    
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TitleStatistical Challenges in Modern Astronomy II
Author(s)Babu, G. Jogesh;Feigelson, Eric D
PublicationNew York, NY, Springer New York, 1997.
DescriptionXVIII, 469 p : online resource
Abstract NoteModern astronomical research faces a vast range of statistical issues which have spawned a revival in methodological activity among astronomers. The Statistical Challenges in Modern Astronomy II conference, held in June 1996 at the Pennsylvania State University five years after the first conference, brought astronomers and statisticians together to discuss methodological issues of common interest. Time series analysis, image analysis, Bayesian methods, Poisson processes, nonlinear regression, maximum likelihood, multivariate classification, and wavelet and multiscale analyses were important themes. Astronomers frequently encounter troublesome situations such as heteroscedastic weighting of data, unevenly spaced time series, and selection effects leading to censoring and truncation. Many problems were introduced at the conference in the context of large-scale astronomical projects inlcuding LIGO, AXAF, XTE, Hipparcos, and digitized sky surveys.This volume will be of interest to researchers and advanced students in both fields-astronomers who seek exposure to recent developments in statistics, and statisticians interested in confronting new problems. It is edited by two faculty members of the Pennsylvania State University who have a long-standing cross-disciplinary collaboration and jointly authored the recent introductory monograph "Astrostatics." G.J. Babu is Professor of Statistics, Fellow of the Institute of Mathematical Statistics, and Associate Editor of the Journal of Statistical Planning & Inference and the Journal of Nonparametric Statistics. Eric D. Feigelson is Professor of Astronomoy and Astrophysics
ISBN,Price9781461219682
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. ASTRONOMY 4. Astronomy, Astrophysics and Cosmology 5. Astronomy, Observations and Techniques 6. Astronomy???Observations 7. ASTROPHYSICS 8. Astrophysics and Astroparticles 9. EBOOK 10. EBOOK - SPRINGER 11. ENGINEERING MATHEMATICS 12. Observations, Astronomical 13. PROBABILITIES 14. Probability Theory and Stochastic Processes 15. Statistics, general 16. Statistics??
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142.     
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TitleIntroduction to Gauge Field Theories
Author(s)Chaichian, M;Nelipa, N. F
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXII, 332 p : online resource
Abstract NoteIn recent years, gauge fields have attracted much attention in elementary par?? ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter?? actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in?? tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select?? ed for presentation the more or less traditional and commonly accepted mate?? rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion
ISBN,Price9783642821776
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. PHYSICS 11. QUANTUM FIELD THEORY
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143.     
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TitleAutosolitons : A New Approach to Problems of Self-Organization and Turbulence
Author(s)Kerner, B.S;Osipov, V.V
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXVI, 672 p : online resource
Abstract NoteThis monograph is devoted to an entirely new branch of nonlinear physics - solitary intrinsic states, or autosolitons, which form in a broad class of physical, chemical and biological dissipative systems. Autosolitons are often observed as highly nonequilibrium regions in slightly nonequilibrium systems, in many ways resembling ball lightning which occurs in the atmosphere. We develop a new approach to problems of self-organization and turbulence, treating these phenomena as a result of spontaneous formation and subsequent evolution of autosolitons. Scenarios of self-organization involve sophisticated interactions between autosolitons, whereas turbulence is regarded as a pattern of autosolitons which appear and disappear at random in different parts of the system. This monograph is the first attempt to provide a comprehensive summary of the theory of autosolitons as developed by the authors over the years of research. The monograph is comprised of three more or less autonomous parts. Part I deals with the physical nature and experimental studies of autosolitons and self?? organization in various physical systems: semiconductor and gas plasma, heated gas mixture, semiconductor structures, composite superconductors, optical and magnetic media, systems with uniformly generated combustion matter, distributed gas-discharge and electronic systems. We discuss feasibility of autosolitons in the form of highly nonequilibrium regions in slightly nonequilibrium gases and semiconductors, "hot" and "cold" regions in semiconductor and gas plasmas, static, pulsating and traveling combustion fronts
ISBN,Price9789401708258
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Electronic materials 9. ENGINEERING MATHEMATICS 10. Heavy ions 11. MECHANICS 12. NUCLEAR PHYSICS 13. Nuclear Physics, Heavy Ions, Hadrons 14. Optical and Electronic Materials 15. OPTICAL MATERIALS 16. STATISTICAL PHYSICS 17. Statistical Physics and Dynamical Systems
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144.     
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TitleNonlinear Optical Waves
Author(s)Maimistov, A.I;Basharov, A.M
PublicationDordrecht, Springer Netherlands, 1999.
DescriptionXIV, 656 p : online resource
Abstract NoteA non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma physics, optics and field theory, chemistry reaction kinetics and population dynamics, nuclear physics and gravity. All non-linear waves can be divided into two parts: dispersive waves and dissipative ones. The history of investigation of these waves has been lasting about two centuries. In 1834 J. S. Russell discovered the extraordinary type of waves without the dispersive broadening. In 1965 N. J. Zabusky and M. D. Kruskal found that the Korteweg-de Vries equation has solutions of the solitary wave form. This solitary wave demonstrates the particle-like properties, i. e. , stability under propagation and the elastic interaction under collision of the solitary waves. These waves were named solitons. In succeeding years there has been a great deal of progress in understanding of soliton nature. Now solitons have become the primary components in many important problems of nonlinear wave dynamics. It should be noted that non-linear optics is the field, where all soliton features are exhibited to a great extent. This book had been designed as the tutorial to the theory of non-linear waves in optics. The first version was projected as the book covering all the problems in this field, both analytical and numerical methods, and results as well. However, it became evident in the process of work that this was not a real task
ISBN,Price9789401724487
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRICAL ENGINEERING 6. ENGINEERING MATHEMATICS 7. LASERS 8. MATHEMATICAL PHYSICS 9. Optics, Lasers, Photonics, Optical Devices 10. PHOTONICS 11. Theoretical, Mathematical and Computational Physics
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145.     
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TitleDynamics of Complex Interacting Systems
Author(s)Goles, E;Mart??nez, Servet
PublicationDordrecht, Springer Netherlands, 1996.
DescriptionVIII, 178 p : online resource
Abstract NoteThis book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994. This School brings together scientists working on subjects related to recent trends in complex systems. Some of these subjects deal with dynamical systems, ergodic theory, cellular automata, symbolic and arithmetic dynamics, spatial systems, large deviation theory and neural networks. Scientists working in these subjects come from several aeras: pure and applied mathematics, non linear physics, biology, computer science, electrical engineering and artificial intelligence. Each contribution is devoted to one or more of the previous subjects. In most cases they are structured as surveys, presenting at the same time an original point of view about the topic and showing mostly new results. The expository text of Roberto Livi concerns the study of coupled map lattices (CML) as models of spatially extended dynamical systems. CML is one of the most used tools for the investigation of spatially extended systems. The paper emphasizes rigorous results about the dynamical behavior of one dimensional CML; i.e. a uniform real local function defined in the interval [0,1], interacting with its nearest neighbors in a one dimensional lattice
ISBN,Price9789401713238
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. COMPLEX SYSTEMS 4. COMPUTERS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. Theory of Computation
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146.     
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TitleLagrange and Finsler Geometry : Applications to Physics and Biology
Author(s)Antonelli, P.L;Miron, R
PublicationDordrecht, Springer Netherlands, 1996.
DescriptionX, 280 p : online resource
ISBN,Price9789401586504
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. BIOMATHEMATICS 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Biology 9. MATHEMATICAL PHYSICS 10. Theoretical, Mathematical and Computational Physics
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147.     
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TitleNoise-Induced Transitions : Theory and Applications in Physics, Chemistry, and Biology
Author(s)Horsthemke, W;Lefever, R
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXVI, 322 p : online resource
Abstract NoteThis classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems
ISBN,Price9783540368526
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. BIOCHEMISTRY 4. Biochemistry, general 5. Chemometrics 6. COMPLEX SYSTEMS 7. DYNAMICAL SYSTEMS 8. EBOOK 9. EBOOK - SPRINGER 10. ENGINEERING MATHEMATICS 11. Math. Applications in Chemistry 12. QUANTUM OPTICS 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems
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148.     
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TitleA Modern Course on Statistical Distributions in Scientific Work : Volume 2 ??? Model Building and Model Selection Proceedings of the NATO Advanced Study Institute held at the University of Calgary, Calgary, Alberta, Canada July 29 ??? August 10, 1974
Author(s)Patil, Ganapati P;Kotz, S;Ord, J.K
PublicationDordrecht, Springer Netherlands, 1975.
DescriptionXVII, 399 p : online resource
Abstract NoteThese three volumes constitute the edited Proceedings of the NATO Advanced Study Institute on Statistical Distributions in Scientific Work held at the University of Calgary from July 29 to August 10, 1974. The general title of the volumes is "Statistical Distributions in Scientific Work". The individual volumes are: Volume 1 - Models and Structures; Volume 2 - Model Building and Model Selection; and Volume 3 - Characterizations and Applications. These correspond to the three advanced seminars of the Institute devoted to the respective subject areas. The planned activities of the Institute consisted of main lectures and expositions, seminar lectures and study group dis?? cussions, tutorials and individual study. The activities included meetings of editorial committees to discuss editorial matters for these proceedings which consist of contributions that have gone through the usual refereeing process. A special session was organized to consider the potential of introducing a course on statistical distributions in scientific modeling in the curriculum of statistics and quantitative studies. This session is reported in Volume 2. The overall perspective for the Institute is provided by the Institute Director, Professor G. P. Patil, in his inaugural address which appears in Volume 1. The Linnik Memorial Inaugural Lecture given by Professor C. R. Rao for the Characterizations Seminar is included in Volume 3
ISBN,Price9789401018456
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS
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149.     
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TitleApplications of Analytic and Geometric Methods to Nonlinear Differential Equations
Author(s)Clarkson, P.A
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionX, 477 p : online resource
Abstract NoteIn the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlev?? analysis of partial differential equations, studies of the Painlev?? equations and symmetry reductions of nonlinear partial differential equations. (ABSTRACT) In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the self-dual Yang--Mills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlev?? analysis of partial differential equations, studies of the Painlev?? equations and symmetry reductions of nonlinear partial differential equations
ISBN,Price9789401120821
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. DIFFERENTIAL EQUATIONS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GLOBAL ANALYSIS (MATHEMATICS) 8. Global Analysis and Analysis on Manifolds 9. Manifolds (Mathematics) 10. Mathematical and Computational Engineering 11. MATHEMATICAL PHYSICS 12. ORDINARY DIFFERENTIAL EQUATIONS 13. PARTIAL DIFFERENTIAL EQUATIONS 14. Theoretical, Mathematical and Computational Physics
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150.    
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TitleExercises in Quantum Mechanics : A Collection of Illustrative Problems and Their Solutions
Author(s)Mavromatis, H.A
PublicationDordrecht, Springer Netherlands, 1992.
DescriptionXIII, 333 p : online resource
Abstract NoteThis monograph is written within the framework of the quantum mechanical paradigm. It is modest in scope in that it is restricted to some observations and solved illustrative problems not readily available in any of the many standard (and several excellent) texts or books with solved problems that have been written on this subject. Additionally a few more or less standard problems are included for continuity and purposes of comparison. The hope is that the points made and problems solved will give the student some additional insights and a better grasp of this fascinating but mathematically somewhat involved branch of physics. The hundred and fourteen problems discussed have intentionally been chosen to involve a minimum of technical complexity while still illustrating the consequences of the quantum-mechanical formalism. Concerning notation, useful expressions are displayed in rectangular boxes while calculational details which one may wish to skip are included in square brackets. Beirut HARRY A. MAVROMATIS June, 1985 IX Preface to Second Edition More than five years have passed since I prepared the first edition of this mono?? graph. The present revised edition is more attractive in layout than its predecessor, and most, if not all of the errors in the original edition (many of which were kindly pointed out by reviewers, colleagues, and students) have now been corrected. Additionally the material in the original fourteen chapters has been extended with significant additions to Chapters 8, 13, and 14
ISBN,Price9789401126526
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. QUANTUM PHYSICS
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