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21 Teodorescu, Petre P Applications of the Theory of Groups in Mechanics and Physics I10502 2004 eBook  
22 Oberlack, Martin Progress in Turbulence and Wind Energy IV I08472 2012 eBook  
23 Gallavotti, Giovanni The Fermi-Pasta-Ulam Problem I08054 2008 eBook  
24 Zeidler, Eberhard Quantum Field Theory I: Basics in Mathematics and Physics I07526 2006 eBook  
25 Glowinski, Roland Partial Differential Equations I06948 2008 eBook  
26 Talamelli, Alessandro Progress in Turbulence V I05859 2014 eBook  
27 Bremer, Hartmut Elastic Multibody Dynamics I05622 2008 eBook  
28 Conte, Robert M The Painlev?? Handbook I05621 2008 eBook  
29 Granas, Andrzej Topological Methods in Differential Equations and Inclusions I05285 1995 eBook  
30 Nieuwstadt, F.T Selected Papers of J. M. Burgers I05229 1995 eBook  
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21.    
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TitleApplications of the Theory of Groups in Mechanics and Physics
Author(s)Teodorescu, Petre P;Nicorovici, Nicolae-A.P
PublicationDordrecht, Springer Netherlands, 2004.
DescriptionXIV, 446 p. 17 illus : online resource
Abstract NoteThe notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non?? contradictory formulations for the investigated phenomena
ISBN,Price9781402020476
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Heavy ions 7. LIE GROUPS 8. MATHEMATICAL PHYSICS 9. NUCLEAR PHYSICS 10. Nuclear Physics, Heavy Ions, Hadrons 11. PARTIAL DIFFERENTIAL EQUATIONS 12. Theoretical, Mathematical and Computational Physics 13. TOPOLOGICAL GROUPS 14. Topological Groups, Lie Groups
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22.     
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TitleProgress in Turbulence and Wind Energy IV : Proceedings of the iTi Conference in Turbulence 2010
Author(s)Oberlack, Martin;Peinke, Joachim;Talamelli, Alessandro;Castillo, Luciano;H??lling, Michael
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2012.
DescriptionXIV, 306 p : online resource
Abstract NoteThis fourth issue on "progress in turbulence" is based on the fourth ITI conference (ITI interdisciplinary turbulence initiative), which took place in Bertinoro, North Italy. Leading researchers from the engineering and physical sciences presented latest results in turbulence research. Basic as well as applied research is driven by the rather notorious difficult and essentially unsolved problem of turbulence. In this collection of contributions clear progress can be seen in different aspects, ranging from new quality of numerical simulations to new concepts of experimental investigations and new theoretical developments. The importance of turbulence is shown for a wide range of applications including: combustion, energy, flow control, urban flows, are few examples found in this volume. A motivation was to bring fundamentals of turbulence in connection with renewable energy. This lead us to add a special topic relevant to the impact of turbulence on the wind energy conversion. The structure of the present book is as such that contributions have been bundled according to covering topics i.e. I Basic Turbulence Aspects, II Particle Laden Flows, III Modeling and Simulations, IV, Experimental Methods, V Special Flows, VI Atmospheric Boundary Layer, VII Boundary Layer, VIII Wind Energy and IX Convection. This book is dedicated to the memory of Prof. Tim Nickels.?? Shortly after giving an invited lecture at the 4th ITI conference, the turbulence community lost a world-class scientist, a friend and devoted family man
ISBN,Price9783642289682
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Engineering Fluid Dynamics 9. FLUID MECHANICS 10. Fluid- and Aerodynamics 11. FLUIDS 12. PARTIAL DIFFERENTIAL EQUATIONS 13. STATISTICAL PHYSICS 14. VIBRATION 15. Vibration, Dynamical Systems, Control
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23.     
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TitleThe Fermi-Pasta-Ulam Problem : A Status Report
Author(s)Gallavotti, Giovanni
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionVII, 301 p : online resource
Abstract NoteThe apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the Fermi-Pasta-Ulam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of one-dimensional chains, descriptions of numerical methods, heuristic theories, addressing the "long standing and controversial problem of distinguishing chaos from noise in signal analysis," metastability, the relation of the FPU motions with the integrable equations, approaches using methods of perturbation theory and the proof of the applicability of KAM theory in FPU chains with energy very close to a minimum. For the convenience of the reader the original work of FPU is reprinted in an appendix. The order of the contributions reflects the aim of leading the interested but inexperienced reader through gradual understanding, starting from general analysis, and proceeding towards more specialized topics
ISBN,Price9783540729952
Keyword(s)1. CLASSICAL MECHANICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ERGODIC THEORY 9. MATHEMATICAL PHYSICS 10. MECHANICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theoretical, Mathematical and Computational Physics
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24.     
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TitleQuantum Field Theory I: Basics in Mathematics and Physics : A Bridge between Mathematicians and Physicists
Author(s)Zeidler, Eberhard
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXXIV, 1051 p : online resource
Abstract NoteThis is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction). From the reviews: "??? Quantum field theory is one of the great intellectual edifices in the history of human thought. ??? This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. ??? an impressive work of scholarship." (William G. Faris, SIAM Review, Vol. 50 (2), 2008) ??"??? it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007)
ISBN,Price9783540347644
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. FUNCTIONAL ANALYSIS 8. MATHEMATICAL ANALYSIS 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. PHYSICS 13. QUANTUM FIELD THEORY 14. Theoretical, Mathematical and Computational Physics
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25.     
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TitlePartial Differential Equations : Modelling and Numerical Simulation
Author(s)Glowinski, Roland;Neittaanm??ki, Pekka
PublicationDordrecht, Springer Netherlands, 2008.
DescriptionXVI, 292 p : online resource
Abstract NoteThis book is dedicated to Olivier Pironneau. For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological development. Mechanics, physics and their engineering applications were the first to benefit from the impact of partial differential equations on modeling and design, but a little less than a century ago the Schr??dinger equation was the key opening the door to the application of partial differential equations to quantum chemistry, for small atomic and molecular systems at first, but then for systems of fast growing complexity. Mathematical modeling methods based on partial differential equations form an important part of contemporary science and are widely used in engineering and scientific applications. In this book several experts in this field present their latest results and discuss trends in the numerical analysis of partial differential equations. The first part is devoted to discontinuous Galerkin and mixed finite element methods, both methodologies of fast growing popularity. They are applied to a variety of linear and nonlinear problems, including the Stokes problem from fluid mechanics and fully nonlinear elliptic equations of the Monge-Amp??re type. Numerical methods for linear and nonlinear hyperbolic problems are discussed in the second part. The third part is concerned with domain decomposition methods, with applications to scattering problems for wave models and to electronic structure computations. The next part is devoted to the numerical simulation of problems in fluid mechanics that involve free surfaces and moving boundaries. The finite difference solution of a problem from spectral geometry has also been included in this part. Inverse problems are known to be efficient models used in geology, medicine, mechanics and many other natural sciences. New results in this field are presented in the fifth part. The final part of the book is addressed to another rapidly developing area in applied mathematics, namely, financial mathematics. The reader will find in this final part of the volume, recent results concerning the simulation of finance related processes modeled by parabolic variational inequalities
ISBN,Price9781402087585
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. Mathematical and Computational Engineering 6. Mathematical Modeling and Industrial Mathematics 7. MATHEMATICAL MODELS 8. Numerical and Computational Physics, Simulation 9. PARTIAL DIFFERENTIAL EQUATIONS 10. PHYSICS
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26.     
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TitleProgress in Turbulence V : Proceedings of the iTi Conference in Turbulence 2012
Author(s)Talamelli, Alessandro;Oberlack, Martin;Peinke, Joachim
PublicationCham, Springer International Publishing, 2014.
DescriptionXIV, 238 p : online resource
Abstract Note?? This volume collects the edited and reviewed contributions presented in the 5th iTi Conference in Bertinoro. covering fundamental aspects in turbulent flows. In the spirit of the iTi initiative, the volume is produced after the conference so that the authors had the possibility to incorporate comments and discussions raised during the meeting. Turbulence presents a large number of aspects and problems, which are still unsolved and which challenge research communities in engineering and physical sciences both in basic and applied research. The book presents recent advances in theory related to new statistical approaches, effect of non-linearities and presence of symmetries. This edition presents new contributions related to the physics and control of laminar-turbulent transition in wall-bounded flows, which may have a significant impact on drag reduction applications. Turbulent boundary layers, at increasing Reynolds number, are the main subject of both computational and experimental long research programs aimed at improving our knowledge on scaling, energy distribution at different scales, structure eduction, roughness effects to name only a few. Like previous editions several numerical and experimental analysis of complex flows, mostly related to applications, are presented. The structure of the present book is as such that contributions have been bundled according to covering topics i.e. I Theory, II Stability, III Wall bounded flows, IV, Complex flows, V Acoustic, VI Numerical methods. The volume is dedicated to the memory of Prof. Rudolf Friedrich who prematurely died in M??nster/Germany on the 16th of August 2012. In his honor the conference has started with a special session dedicated to his work. ??
ISBN,Price9783319018607
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Engineering Fluid Dynamics 9. FLUID MECHANICS 10. Fluid- and Aerodynamics 11. FLUIDS 12. PARTIAL DIFFERENTIAL EQUATIONS 13. STATISTICAL PHYSICS 14. VIBRATION 15. Vibration, Dynamical Systems, Control
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27.     
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TitleElastic Multibody Dynamics : A Direct Ritz Approach
Author(s)Bremer, Hartmut
PublicationDordrecht, Springer Netherlands, 2008.
DescriptionX, 452 p : online resource
Abstract NoteThis textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics: On the basis of Lagrange's Principle, a Central Equation of Dynamics is presented which yields a unified view on existing methods. From these, the Projection Equation is selected for the derivation of the motion equations of holonomic and of non-holonomic systems. The method is applied to rigid multibody systems where the rigid body is defined such that, by relaxation of the rigidity constraints, one can directly proceed to elastic bodies. A decomposition into subsystems leads to a minimal representation and to a recursive representation, respectively, of the equations of motion. Applied to elastic multibody systems one obtains, along with the use of spatial operators, a straight-on procedure for the interconnected partial and ordinary differential equations and the corresponding boundary conditions. The spatial operators are eventually applied to a RITZ series for approximation. The resulting equations then appear in the same structure as in rigid multibody systems. The main emphasis is laid on methodical as well as on (graduate level) educational aspects. The text is accompanied by a large number of examples and applications, e.g., from rotor dynamics and robotics. The mathematical prerequisites are subsumed in a short excursion into stability and control
ISBN,Price9781402086809
Keyword(s)1. CLASSICAL MECHANICS 2. DIFFERENTIAL EQUATIONS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Mathematical Methods in Physics 8. MECHANICS 9. ORDINARY DIFFERENTIAL EQUATIONS 10. PARTIAL DIFFERENTIAL EQUATIONS 11. PHYSICS 12. VIBRATION 13. Vibration, Dynamical Systems, Control
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28.     
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TitleThe Painlev?? Handbook
Author(s)Conte, Robert M;Musette, Micheline
PublicationDordrecht, Springer Netherlands, 2008.
DescriptionXXIII, 256 p : online resource
Abstract NoteNonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlev?? test. If the equation under study passes the Painlev?? test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schr??dinger equation (continuous and discrete), the Korteweg-de Vries equation, the H??non-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research
ISBN,Price9781402084911
Keyword(s)1. APPLIED MATHEMATICS 2. Chemometrics 3. DIFFERENTIAL EQUATIONS 4. Dynamical Systems and Ergodic Theory 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. ERGODIC THEORY 10. Math. Applications in Chemistry 11. Mathematical and Computational Engineering 12. Mathematical Methods in Physics 13. ORDINARY DIFFERENTIAL EQUATIONS 14. PARTIAL DIFFERENTIAL EQUATIONS 15. PHYSICS
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29.     
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TitleTopological Methods in Differential Equations and Inclusions
Author(s)Granas, Andrzej;Frigon, Marl??ne
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXV, 522 p : online resource
Abstract NoteThe papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries have had the opportunity to get acquainted with various aspects of the subjects treated in the lectures as well as the chance to exchange ideas and learn about new problems arising in the field. The main topics teated in this ASI were the following: Fixed point theory for single- and multi-valued mappings including topological degree and its generalizations, and topological transversality theory; existence and multiplicity results for ordinary differential equations and inclusions; bifurcation and stability problems; ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential inclusions; effects of delay perturbations on dynamics of retarded delay differential equations; dynamics of reaction diffusion equations; non smooth critical point theory and applications to boundary value problems for quasilinear elliptic equations
ISBN,Price9789401103398
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONAL ANALYSIS 5. GEOMETRY 6. ORDINARY DIFFERENTIAL EQUATIONS 7. PARTIAL DIFFERENTIAL EQUATIONS
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30.    
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TitleSelected Papers of J. M. Burgers
Author(s)Nieuwstadt, F.T;Steketee, J.A
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionCIX, 650 p : online resource
Abstract NoteJ.M. Burgers (1895--1981) is regarded as one of the leading scientists in the field of fluid mechanics, contributing many important results, a number of which still bear his name. However, the work of this outstanding scientist was mostly published in the Proceedings and Transactions of The Royal Netherlands Academy of Sciences, of which he was a distinguished member. Nowadays, this work is almost impossible to obtain through the usual library channels. Therefore, the editors have decided to reissue the most important work of J.M. Burgers, which gives the reader access to the original papers which led to important results, now known as the Burgers Equation, the Burgers Vector and the Burgers Vortex. Further, the book contains a biography of J.M. Burgers, which provides the reader with both information on his scientific life, as well as a rounded impression of the many activities which J.M. Burgers performed or was involved in outside his science
ISBN,Price9789401101950
Keyword(s)1. Classical and Continuum Physics 2. Continuum physics 3. EBOOK 4. EBOOK - SPRINGER 5. HISTORY 6. History and Philosophical Foundations of Physics 7. History, general 8. MECHANICS 9. Mechanics, Applied 10. PARTIAL DIFFERENTIAL EQUATIONS 11. PHYSICS 12. Solid Mechanics
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