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1 Durst, Franz Fluid Mechanics I12432 2022 Book  
2 Musielak, Dora Leonhard Euler and the Foundations of Celestial Mechanics I12301 2022 Book  
3 Ferreira, M??rio F. S Dissipative Optical Solitons I12206 2022 Book  
4 ??rl??, Ramis Progress in Turbulence IX I11870 2021 eBook  
5 Nagao, Hidehito Pad?? Methods for Painlev?? Equations I11676 2021 eBook  
6 Doyle, James F Spectral Analysis of Nonlinear Elastic Shapes I09613 2020 eBook  
7 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I11279 2001 eBook  
8 Truesdell, C The Non-Linear Field Theories of Mechanics I10695 2004 eBook  
9 Khrennikov, Andrei Y Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena I10657 2004 eBook  
10 MacKenzie, R Solitons I10591 2000 eBook  
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TitleFluid Mechanics : An Introduction to the Theory of Fluid Flows
Author(s)Durst, Franz
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2022.
DescriptionXX, 818 p. 398 illus., 13 illus. in color : online resource
Abstract NoteThis book provides the fundamental knowledge allowing students in engineering and natural sciences to enter fluid mechanics and its applications in various fields where fluid flows need to be dealt with. Analytical treatments of flows are provided based on the ???Conventional Navier-Stokes-Equations??? (CNSE). The physics and mathematics of fundamental flow problems are explained in such detail that the reader receives a good introduction into the subject. Numerical methods and experimental techniques, applied in fluid mechanics, are also introduced. This second edition of the book stresses that the CNSE are incomplete. They are missing molecular transport terms. These terms are derived in the book to yield the ???Extended Navier-Stokes-Equations???. These equations allow flows with strong fluid property gradients to be treated correctly, while the CNSE do not allow this. The main benefit the reader will derive from the book is a sound introduction into various aspects of fluid mechanics
ISBN,Price9783662639153
Keyword(s)1. ANALYSIS 2. CONTINUUM MECHANICS 3. EBOOK 4. EBOOK - SPRINGER 5. Engineering Fluid Dynamics 6. FLUID MECHANICS 7. MATHEMATICAL ANALYSIS 8. PHYSICAL CHEMISTRY
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TitleLeonhard Euler and the Foundations of Celestial Mechanics
Author(s)Musielak, Dora
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXVIII, 208 p. 65 illus., 17 illus. in color : online resource
Abstract NoteThe intention of this book is to shine a bright light on the intellectual context of Euler???s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler???s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler???s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time
ISBN,Price9783031123221
Keyword(s)1. ANALYSIS 2. ASTRONAUTICS 3. Astronomers???Biography 4. Biographies of Physicists and Astronomers 5. CLASSICAL MECHANICS 6. EBOOK 7. EBOOK - SPRINGER 8. GRAVITATION 9. History of Physics and Astronomy 10. MATHEMATICAL ANALYSIS 11. MECHANICS 12. NEWTONIAN PHYSICS 13. Outer space???Exploration 14. Physicists???Biography 15. Physics???History 16. Space Exploration and Astronautics
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TitleDissipative Optical Solitons
Author(s)Ferreira, M??rio F. S
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXII, 364 p. 175 illus., 163 illus. in color : online resource
Abstract NoteThis book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zero-parameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked cavities
ISBN,Price9783030974930
Keyword(s)1. ANALYSIS 2. EBOOK 3. EBOOK - SPRINGER 4. LASER 5. LASERS 6. MATHEMATICAL ANALYSIS 7. MATHEMATICAL PHYSICS 8. Microwaves, RF Engineering and Optical Communications 9. QUANTUM OPTICS 10. TELECOMMUNICATION
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TitleProgress in Turbulence IX : Proceedings of the iTi Conference in Turbulence 2021
Author(s)??rl??, Ramis;Talamelli, Alessandro;Peinke, Joachim;Oberlack, Martin
PublicationCham, Springer International Publishing, 2021.
DescriptionXVIII, 315 p. 158 illus., 127 illus. in color : online resource
Abstract NoteThis volume collects the edited and reviewed contribution presented in the 9th iTi Conference that took place virtually, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the volume is produced after the conference so that the authors had the opportunity to incorporate comments and discussions raised during the meeting. In the present book, the contributions have been structured according to the topics: I Experiments II Simulations and Modelling III Data Processing and Scaling IV Theory V Miscellaneous topics
ISBN,Price9783030807160
Keyword(s)1. ANALYSIS 2. Applied Dynamical Systems 3. CIVIL ENGINEERING 4. Classical and Continuum Physics 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Engineering Fluid Dynamics 9. FLUID MECHANICS 10. MATHEMATICAL ANALYSIS 11. NONLINEAR OPTICS 12. NONLINEAR THEORIES 13. PHYSICS
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TitlePad?? Methods for Painlev?? Equations
Author(s)Nagao, Hidehito;Yamada, Yasuhiko
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionVIII, 90 p. 2 illus., 1 illus. in color : online resource
Abstract NoteThe isomonodromic deformation equations such as the Painlev?? and Garnier systems are an important class of nonlinear differential equations in mathematics and mathematical physics. For discrete analogs of these equations in particular, much progress has been made in recent decades. Various approaches to such isomonodromic equations are known: the Painlev?? test/Painlev?? property, reduction of integrable hierarchy, the Lax formulation, algebro-geometric methods, and others. Among them, the Pad?? method explained in this book provides a simple approach to those equations in both continuous and discrete cases. For a given function f(x), the Pad?? approximation/interpolation supplies the rational functions P(x), Q(x) as approximants such as f(x)~P(x)/Q(x). The basic idea of the Pad?? method is to consider the linear differential (or difference) equations satisfied by P(x) and f(x)Q(x). In choosing the suitable approximation problem, the linear differential equations give the Lax pair for some isomonodromic equations. Although this relation between the isomonodromic equations and Pad?? approximations has been known classically, a systematic study including discrete cases has been conducted only recently. By this simple and easy procedure, one can simultaneously obtain various results such as the nonlinear evolution equation, its Lax pair, and their special solutions. In this way, the method is a convenient means of approaching the isomonodromic deformation equations
ISBN,Price9789811629983
Keyword(s)1. ANALYSIS 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL ANALYSIS 5. MATHEMATICAL PHYSICS 6. SPECIAL FUNCTIONS
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TitleSpectral Analysis of Nonlinear Elastic Shapes
Author(s)Doyle, James F
PublicationCham, Springer International Publishing, 2020.
DescriptionXI, 409 p : online resource
Abstract NoteThis book concerns the elastic stability of thin-walled structures ??? one of the most challenging problems facing structural engineers because of its high degree of nonlinearity ??? and introduces the innovative approach of using spectral analysis of the shapes and the stiffness to gain insights into the nonlinear deformations. The methodology greatly facilitates correlating the shape changes with the stiffness changes. Professor Doyle also develops specific computer procedures that complement finite element methods so that the ideas and methods are applicable to general structural problems. Basic validity of the procedures is established using key archetypal problems from buckling/post-buckling of columns, arches, curved plates, and cylindrical shells, all worked out in significant detail. The book is ideal for a wide variety of structural engineers, particularly those in aerospace and civil fields. Researchers in computational mechanics also find a rich source of new ideas for post-processing data from nonlinear analyses. Presents an innovative way of tackling nonlinear elastic stability problems with many new results and insights presented; Adopts a thoroughly modern, computationally based approach using finite elements as its basis as well as for its validations; Reinforces reader understanding with a range of practical problems encompassing arbitrary frame and shell structures; Develops concepts systematically starting with basic deformations of structural members followed by analysis of structures with coupled deformations, progressing seemlessly to the nonlinear analysis of structures and buckling/post-buckling behaviors
ISBN,Price9783030594947
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Nonlinear Dynamics and Chaos Theory 4. APPLIED MATHEMATICS 5. CIVIL ENGINEERING 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. MATHEMATICAL ANALYSIS 10. Mathematical and Computational Engineering 11. Measurement Science and Instrumentation 12. Measurement?????? 13. MECHANICAL ENGINEERING 14. PHYSICAL MEASUREMENTS 15. STATISTICAL PHYSICS
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2001.
DescriptionXIII, 812 p. 12 illus : online resource
Abstract NoteThis collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text for a graduate course in quantum mechanics. In this new edition two new sections have been added: Section 7 contains papers on quantum electrodynamics, and Section 8 on Boson systems.
ISBN,Price9783662043608
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. Mathematical Methods in Physics 11. PHYSICS 12. QUANTUM PHYSICS
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TitleThe Non-Linear Field Theories of Mechanics
Author(s)Truesdell, C;Noll, Walter;Antman, Stuart
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXXX, 602 p : online resource
Abstract NoteNon-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph???s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field
ISBN,Price9783662103883
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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TitleInformation Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena
Author(s)Khrennikov, Andrei Y
PublicationDordrecht, Springer Netherlands, 2004.
DescriptionXV, 235 p : online resource
Abstract NoteIn this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure
ISBN,Price9789401704793
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. ARTIFICIAL INTELLIGENCE 4. Computer science???Mathematics 5. Discrete Mathematics in Computer Science 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MATHEMATICAL PHYSICS 10. PHILOSOPHY OF MIND 11. Theoretical, Mathematical and Computational Physics
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TitleSolitons : Properties, Dynamics, Interactions, Applications
Author(s)MacKenzie, R;Paranjape, M.B;Zakrzewski, W.J
PublicationNew York, NY, Springer New York, 2000.
DescriptionXXI, 312 p : online resource
Abstract NoteSolitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. They have been the subject of a large body of research in a wide variety of fields of physics and mathematics, not to mention engineering and other branches of science such as biology. This volume comprises the written versions of the talks presented at a workshop held at Queen's University in 1997, an interdisciplinary meeting wherein top researchers from many fields could meet, interact, and exchange ideas. Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics. The book should be of interest to researchers in any field in which solitons are encountered
ISBN,Price9781461212546
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. MATHEMATICAL ANALYSIS 9. PHYSICS 10. Physics, general
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