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21 Fatibene, L Natural and Gauge Natural Formalism for Classical Field Theorie I10826 2003 eBook  
22 Antonelli, P.L Finslerian Geometries I10811 2000 eBook  
23 Scheck, Florian Noncommutative Geometry and the Standard Model of Elementary Particle Physics I10763 2002 eBook  
24 Munteanu, Gheorghe Complex Spaces in Finsler, Lagrange and Hamilton Geometries I10677 2004 eBook  
25 Maeda, Yoshiaki Noncommutative Differential Geometry and Its Applications to Physics I10561 2001 eBook  
26 Bandyopadhyay, P Geometry, Topology and Quantum Field Theory I10559 2003 eBook  
27 Conte, Robert M Direct and Inverse Methods in Nonlinear Evolution Equations I10544 2003 eBook  
28 Aldrovandi, Ruben Teleparallel Gravity I08411 2013 eBook  
29 Carow-Watamura, Ursula Quantum Field Theory and Noncommutative Geometry I08223 2005 eBook  
30 Liseikin, Vladimir D A Computational Differential Geometry Approach to Grid Generation I08014 2007 eBook  
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21.    
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TitleNatural and Gauge Natural Formalism for Classical Field Theorie : A Geometric Perspective including Spinors and Gauge Theories
Author(s)Fatibene, L;Francaviglia, M
PublicationDordrecht, Springer Netherlands, 2003.
DescriptionXXI, 365 p : online resource
Abstract NoteIn this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail. Spinor fields in particular appear to be the prototypes of truly gauge-natural objects, which are not purely gauge nor purely natural, so that they are a paradigmatic example of the intriguing relations between gauge natural geometry and physical phenomenology. In particular, the gauge natural framework for spinors is developed in this book in full detail, and it is shown to be fundamentally related to the interaction between fermions and dynamical tetrad gravity
ISBN,Price9789401723848
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. MATHEMATICAL PHYSICS 9. MECHANICS 10. Theoretical, Mathematical and Computational Physics
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22.     
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TitleFinslerian Geometries : A Meeting of Minds
Author(s)Antonelli, P.L
PublicationDordrecht, Springer Netherlands, 2000.
DescriptionVIII, 312 p : online resource
Abstract NoteThe International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the University of Alberta in Edmonton, Canada. The main objective of this meeting was to help acquaint North American geometers with the extensive modern literature on Finsler geometry and Lagrange geometry of the Japanese and European schools, each with its own venerable history, on the one hand, and to communicate recent advances in stochastic theory and Hodge theory for Finsler manifolds by the younger North American school, on the other. The intent was to bring together practitioners of these schools of thought in a Canadian venue where there would be ample opportunity to exchange information and have cordial personal interactions. The present set of refereed papers begins ??with the Pedagogical Sec?? tion I, where introductory and brief survey articles are presented, one from the Japanese School and two from the European School (Romania and Hungary). These have been prepared for non-experts with the intent of explaining basic points of view. The Section III is the main body of work. It is arranged in alphabetical order, by author. Section II gives a brief account of each of these contribu?? tions with a short reference list at the end. More extensive references are given in the individual articles
ISBN,Price9789401142359
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. ECOLOGY 5. Ecology?? 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. MATHEMATICAL OPTIMIZATION 9. MATHEMATICAL PHYSICS 10. OPTIMIZATION 11. QUANTUM FIELD THEORY 12. Theoretical, Mathematical and Computational Physics
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23.     
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TitleNoncommutative Geometry and the Standard Model of Elementary Particle Physics
Author(s)Scheck, Florian;Werner, Wend;Upmeier, Harald
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2002.
DescriptionXII, 350 p : online resource
Abstract NoteThe outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike
ISBN,Price9783540460824
Keyword(s)1. ALGEBRA 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. Mathematical Methods in Physics 8. PHYSICS 9. QUANTUM FIELD THEORY
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24.     
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TitleComplex Spaces in Finsler, Lagrange and Hamilton Geometries
Author(s)Munteanu, Gheorghe
PublicationDordrecht, Springer Netherlands, 2004.
DescriptionXII, 228 p : online resource
Abstract NoteFrom a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ([Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered self-geometries: Lagrange and Hamilton spaces. Finsler geometry had a period of incubation long enough, so that few math?? ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the patience to penetrate into a universe of tensors, which made them compare it to a jungle. To aU of us, who study nowadays Finsler geometry, it is obvious that the qualitative leap was made in the 1970's by the crystallization of the nonlinear connection notion (a notion which is almost as old as Finsler space, [SZ4]) and by work-skills into its adapted frame fields. The results obtained by M. Matsumoto (coUected later, in 1986, in a monograph, [Ma3]) aroused interest not only in Japan, but also in other countries such as Romania, Hungary, Canada and the USA, where schools of Finsler geometry are founded and are presently widely recognized
ISBN,Price9781402022067
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONS OF COMPLEX VARIABLES 5. Mathematical Modeling and Industrial Mathematics 6. MATHEMATICAL MODELS 7. MATHEMATICAL PHYSICS 8. QUANTUM PHYSICS 9. Several Complex Variables and Analytic Spaces 10. Theoretical, Mathematical and Computational Physics
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25.     
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TitleNoncommutative Differential Geometry and Its Applications to Physics : Proceedings of the Workshop at Shonan, Japan, June 1999
Author(s)Maeda, Yoshiaki;Moriyoshi, Hitoshi;Omori, Hideki;Sternheimer, Daniel;Tate, Tatsuya;Watamura, Satoshi
PublicationDordrecht, Springer Netherlands, 2001.
DescriptionVIII, 308 p : online resource
Abstract NoteNoncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics
ISBN,Price9789401007047
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. GLOBAL ANALYSIS (MATHEMATICS) 7. Global Analysis and Analysis on Manifolds 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Manifolds (Mathematics) 11. Operational calculus 12. QUANTUM FIELD THEORY 13. QUANTUM PHYSICS
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26.     
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TitleGeometry, Topology and Quantum Field Theory
Author(s)Bandyopadhyay, P
PublicationDordrecht, Springer Netherlands, 2003.
DescriptionXI, 220 p. 1 illus : online resource
Abstract NoteThis is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is observed that this is related to certain topological features associated with the fermion and leads to the realization of the topological origin of fermion number as well as the Berry phase. The role of gauge fields in the quantization procedure has its implications in these topological features of a fermion and helps us to consider a massive fermion as a soliton (skyrrnion). In this formalism chiral anomaly is found to be responsible for mass generation. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. The geometrical feature of a skyrmion also helps us to realize the internal symmetry of hadrons from reflection group. Finally it has been shown that noncommutative geometry where the space time manifold is taken to be X = M x Zz has its relevance in the description of a massive 4 fermion as a skyrmion when the discrete space is considered as the internal space and the symmetry breaking leads to chiral anomaly. In chap. l preliminary mathematical formulations related to the spinor structure have been discussed. In chap
ISBN,Price9789401716970
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. GLOBAL ANALYSIS (MATHEMATICS) 7. Global Analysis and Analysis on Manifolds 8. Heavy ions 9. Manifolds (Mathematics) 10. NUCLEAR PHYSICS 11. Nuclear Physics, Heavy Ions, Hadrons 12. QUANTUM FIELD THEORY 13. QUANTUM PHYSICS
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27.     
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TitleDirect and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5???12, 1999
Author(s)Conte, Robert M;Magri, Franco;Musette, Micheline;Satsuma, Junkichi;Winternitz, Pavel;Greco, Antonio Maria
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2003.
DescriptionXI, 279 p : online resource
Abstract NoteMany physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities ?? la Painlev??, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved
ISBN,Price9783540398080
Keyword(s)1. COMPLEX SYSTEMS 2. DIFFERENTIAL GEOMETRY 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. PARTIAL DIFFERENTIAL EQUATIONS 8. PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems
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28.     
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TitleTeleparallel Gravity : An Introduction
Author(s)Aldrovandi, Ruben;Pereira, Jose G
PublicationDordrecht, Springer Netherlands, 2013.
DescriptionXIV, 214 p : online resource
Abstract NoteTeleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR). However, it is conceptually different. For example in GR geometry replaces the concept of force, and the trajectories are determined by geodesics. TG attributes gravitation to torsion, which accounts for gravitation by acting as a force. TG has already solved some old problems of gravitation (like the energy-momentum density of the gravitational field). The interest in TG has grown in the last few years. The book here proposed will be the first one dedicated exclusively to TG, and will include the foundations of the theory, as well as applications to specific problems to illustrate how the theory works
ISBN,Price9789400751439
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS
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29.     
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TitleQuantum Field Theory and Noncommutative Geometry
Author(s)Carow-Watamura, Ursula;Maeda, Yoshiaki;Watamura, Satoshi
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionX, 298 p : online resource
Abstract NoteThis volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field
ISBN,Price9783540315261
Keyword(s)1. ALGEBRAIC TOPOLOGY 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. LIE GROUPS 8. Mathematical Methods in Physics 9. PHYSICS 10. QUANTUM FIELD THEORY 11. TOPOLOGICAL GROUPS 12. Topological Groups, Lie Groups
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30.    
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TitleA Computational Differential Geometry Approach to Grid Generation
Author(s)Liseikin, Vladimir D
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2007.
DescriptionXIV, 294 p. 81 illus., 3 illus. in color : online resource
Abstract NoteThe process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by: Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the generation of adaptive, field-aligned, and balanced grids, to the solutions of CFD and magnetized plasmas problems. The book addresses both scientists and practitioners in applied mathematics and numerical solution of field problems
ISBN,Price9783540342366
Keyword(s)1. Classical and Continuum Physics 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Computer science???Mathematics 5. Continuum physics 6. DIFFERENTIAL GEOMETRY 7. EBOOK 8. EBOOK - SPRINGER 9. Math Applications in Computer Science 10. Mathematical Methods in Physics 11. Numerical and Computational Physics, Simulation 12. PHYSICS
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