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21 Sharan, Pankaj Spacetime, Geometry and Gravitation I07663 2009 eBook  
22 Gerdjikov, Vladimir Integrable Hamiltonian Hierarchies I06124 2008 eBook  
23 Maia, M. D Geometry of the Fundamental Interactions I05463 2011 eBook  
24 Granas, Andrzej Topological Methods in Differential Equations and Inclusions I05285 1995 eBook  
25 Lagarde, A Static and Dynamic Photoelasticity and Caustics I04490 1987 eBook  
26 Boi, Luciano 1830???1930: A Century of Geometry I04470 1992 eBook  
27 Flaherty, Edward J Hermitian and K??hlerian Geometry in Relativity I04270 1976 eBook  
28 Bleuler, K Differential Geometrical Methods in Theoretical Physics I04233 1988 eBook  
29 Cahen, M Quantum Theories and Geometry I04155 1988 eBook  
30 Zhang, Kequian Electromagnetic Theory for Microwaves and Optoelectronics I03927 1998 eBook  
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21.    
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TitleSpacetime, Geometry and Gravitation
Author(s)Sharan, Pankaj
PublicationBasel, 1. Birkh??user Basel 2. Imprint: Birkh??user, 2009.
DescriptionXIV, 355 p : online resource
Abstract NoteThis is an introductory book on the general theory of relativity based partly on lectures given to students of M.Sc. Physics at my university. The book is divided into three parts. The ?rst part is a preliminary course on general relativity with minimum preparation. The second part builds the ma- ematical background and the third part deals with topics where mathematics developed in the second part is needed. The ?rst chapter gives a general background and introduction. This is f- lowed by an introduction to curvature through Gauss??? Theorema Egregium. This theorem expresses the curvature of a two-dimensional surface in terms of intrinsic quantitiesrelatedtothein?nitesimaldistancefunctiononthesurface.Thestudent isintroducedtothemetrictensor,Christo?elsymbolsandRiemanncurvaturet- sor by elementary methods in the familiar and visualizable case of two dimensions. This early introduction to geometric quantities equips a student to learn simpler topics in general relativity like the Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - quired by general relativity. This is done from the beginning, starting with vectors and tensors. I believe that students of physics grasp physical concepts better if they are not shaky about the mathematics involved
ISBN,Price9783764399719
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. GRAVITATION 6. PHYSICS 7. Physics, general
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22.     
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TitleIntegrable Hamiltonian Hierarchies : Spectral and Geometric Methods
Author(s)Gerdjikov, Vladimir;Vilasi, Gaetano;Yanovski, Alexandar Borisov
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionXII, 643 p : online resource
Abstract NoteThis book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform. The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students
ISBN,Price9783540770541
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. MATHEMATICAL ANALYSIS 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. Physics, general 11. Theoretical, Mathematical and Computational Physics
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23.     
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TitleGeometry of the Fundamental Interactions : On Riemann's Legacy to High Energy Physics and Cosmology
Author(s)Maia, M. D
PublicationNew York, NY, Springer New York, 2011.
DescriptionIX, 179 p : online resource
Abstract NoteGravitation, electromagnetics and the two types of nuclear forces constitute the four fundamental forces of nature which regulate our everyday life.?? Amazingly, they are all described by a single idea of the 19th century proposed by Bernhard Riemann, and with the exception of??gravitation, these ideas have been since confirmed by high energy experiments and cosmological observations.?? Geometry of the Fundamental Interactions - On Riemann's Legacy to High Energy Physics and Cosmology is a mathematical narrative of how we have come to agree on such a complex plot of nature, starting with the basic geometrical concepts and ending with hints on the perspective for cosmology. This book originated from lectures given for several years to a mixed audience of mathematicians, physicists, astronomers, engineers, philosophers and sociologists seeking to understand the basics of those interactions and how the concept of Riemann curvature came to occupy such a central position in physics.?? The author takes on the challenge of making the path toward understanding both accessible and interesting to a wide audience
ISBN,Price9781441982735
Keyword(s)1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. Field theory (Physics) 7. Field Theory and Polynomials 8. GEOMETRY 9. MATHEMATICAL PHYSICS 10. QUANTUM FIELD THEORY 11. Theoretical, Mathematical and Computational Physics
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24.     
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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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25.     
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TitleStatic and Dynamic Photoelasticity and Caustics : Recent Developments
Author(s)Lagarde, A
PublicationVienna, Springer Vienna, 1987.
DescriptionVI, 522 p. 156 illus : online resource
ISBN,Price9783709126301
Keyword(s)1. Characterization and Evaluation of Materials 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. LASERS 6. MATERIALS SCIENCE 7. MICROSCOPY 8. Optics, Lasers, Photonics, Optical Devices 9. PHOTONICS 10. SOLID STATE PHYSICS 11. SPECTROSCOPY 12. Spectroscopy and Microscopy
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26.     
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Title1830???1930: A Century of Geometry : Epistemology, History and Mathematics
Author(s)Boi, Luciano;Flament, Dominique;Salanskis, Jean-Michel
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1992.
DescriptionVIII, 304 p. 1 illus : online resource
Abstract NoteIn the first half of the 19th century geometry changed radically, and withina century it helped to revolutionize both mathematics and physics. It also put the epistemology and the philosophy of science on a new footing. In this volume a sound overview of this development is given by leading mathematicians, physicists, philosophers, and historians of science. This interdisciplinary approach gives this collection a unique character. It can be used by scientists and students, but it also addresses a general readership
ISBN,Price9783540470588
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. MATHEMATICAL ANALYSIS 7. MATHEMATICAL PHYSICS 8. Theoretical, Mathematical and Computational Physics
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27.     
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TitleHermitian and K??hlerian Geometry in Relativity
Author(s)Flaherty, Edward J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1976.
DescriptionVIII, 369 p. 2 illus : online resource
ISBN,Price9783540380689
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. GRAVITATION
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I04270     On Shelf    

28.     
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TitleDifferential Geometrical Methods in Theoretical Physics
Author(s)Bleuler, K;Werner, M
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionXVII, 471 p : online resource
ISBN,Price9789401578097
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. GEOMETRY 6. MATHEMATICAL PHYSICS 7. QUANTUM FIELD THEORY 8. Theoretical, Mathematical and Computational Physics
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I04233     On Shelf    

29.     
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TitleQuantum Theories and Geometry
Author(s)Cahen, M;Flato, M
PublicationDordrecht, Springer Netherlands, 1988.
DescriptionIX, 191 p : online resource
ISBN,Price9789400930551
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GEOMETRY 4. GROUP THEORY 5. Group Theory and Generalizations 6. MATHEMATICAL PHYSICS 7. Theoretical, Mathematical and Computational Physics
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I04155     On Shelf    

30.    
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TitleElectromagnetic Theory for Microwaves and Optoelectronics
Author(s)Zhang, Kequian;Li, Dejie
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1998.
DescriptionXVI, 669 p. 63 illus. in color : online resource
Abstract NoteThis book is a first year graduate text on electromagnetic fields and waves. At the same time it serves as a useful reference for researchers and engineers in the areas of microwaves and optoelectronics. Following the presentation of the physical and mathematical foundations of electromagnetic theory, the book discusses the field analysis of electromagnetic waves confined in material boundaries, or so-called guided waves, electromagnetic waves in open space, scalar diffraction theory and active devices. The theories and methods presented in the book are foundations of wireless engineering, microwave and millimeter wave techniques, optoelectronics and optical fiber transmission
ISBN,Price9783662035535
Keyword(s)1. CLASSICAL ELECTRODYNAMICS 2. Communications Engineering, Networks 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRICAL ENGINEERING 6. ELECTRODYNAMICS 7. ELECTRONICS 8. Electronics and Microelectronics, Instrumentation 9. GEOMETRY 10. MICROELECTRONICS 11. OPTICS
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