

Click the serial number on the left to view the details of the item. 
# 
Author  Title  Accn#  Year  Item Type  Claims 
11 
Ungar, A.A 
Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession 
I10899 
2002 
eBook 

12 
Science, Journal of Nonlinear 
Mechanics: From Theory to Computation 
I10867 
2000 
eBook 

13 
Zhang, Keqian 
Electromagnetic Theory for Microwaves and Optoelectronics 
I08369 
2008 
eBook 

14 
Ratti, Sergio Peppino 
Introduzione ai frattali in fisica 
I08303 
2011 
eBook 

15 
Ungar, A.A 
Hyperbolic Triangle Centers 
I07921 
2010 
eBook 

16 
Strauch, Dieter 
Classical Mechanics 
I07907 
2009 
eBook 

17 
Sharan, Pankaj 
Spacetime, Geometry and Gravitation 
I07663 
2009 
eBook 

18 
Gerdjikov, Vladimir 
Integrable Hamiltonian Hierarchies 
I06124 
2008 
eBook 

19 
Maia, M. D 
Geometry of the Fundamental Interactions 
I05463 
2011 
eBook 

20 
Granas, Andrzej 
Topological Methods in Differential Equations and Inclusions 
I05285 
1995 
eBook 


11.


Title  Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces 
Author(s)  Ungar, A.A 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2002. 
Description  464 p : online resource 
Abstract Note  Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the Thomas gyration. The Thomas gyration, in turn, allows the introduction of vectors into hyperbolic geometry, where they are called gyrovectors, in such a way that Einstein's velocity additions turns out to be a gyrovector addition. Einstein's addition thus becomes a gyrocommutative, gyroassociative gyrogroup operation in the same way that ordinary vector addition is a commutative, associative group operation. Some gyrogroups of gyrovectors admit scalar multiplication, giving rise to gyrovector spaces in the same way that some groups of vectors that admit scalar multiplication give rise to vector spaces. Furthermore, gyrovector spaces form the setting for hyperbolic geometry in the same way that vector spaces form the setting for Euclidean geometry. In particular, the gyrovector space with gyrovector addition given by Einstein's (M??bius') addition forms the setting for the Beltrami (Poincar??) ball model of hyperbolic geometry. The gyrogrouptheoretic techniques developed in this book for use in relativity physics and in hyperbolic geometry allow one to solve old and new important problems in relativity physics. A case in point is Einstein's 1905 view of the Lorentz length contraction, which was contradicted in 1959 by Penrose, Terrell and others. The application of gyrogrouptheoretic techniques clearly tilt the balance in favor of Einstein 
ISBN,Price  9780306471346 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. EBOOK
4. EBOOK  SPRINGER
5. GEOMETRY
6. MATHEMATICAL PHYSICS
7. Nonassociative Rings and Algebras
8. Nonassociative rings
9. Observations, Astronomical
10. Rings (Algebra)
11. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10899 


On Shelf 




12.


Title  Mechanics: From Theory to Computation : Essays in Honor of JuanCarlos Simo 
Author(s)  Science, Journal of Nonlinear 
Publication  New York, NY, 1. Imprint: Springer
2. Springer New York, 2000. 
Description  X, 532 p : online resource 
Abstract Note  Starting in 1996, a sequence of articles appeared in the Journal of Nonlinear Science dedicated to the memory of one of its original editors, JuanCarlos Simo, Applied Me?? chanics, Stanford University. Sadly, JuanCarlos passed away at an early age in 1994. We lost a brilliant colleague and a wonderful person. These articles are collected in the present volume. Many of them are updated and corrected especially for this occasion. These essays are in areas of scientific interest of JuanCarlos, including mechanics (particles, rigid bodies, fluids, elasticity, plastic?? ity, etc.), geometry, applied dynamics, and, of course, computation. His interests were extremely broadhe did not see boundaries between computation, mathematics, me?? chanics, and dynamics, and, in that sense, he ideally reflected the spirit of the journal and many of the most exciting areas of current scientific interest. JuanCarlos was one of those select and gifted people who could cross interdisci?? plinary boundaries with extremely high quality and productive interactions of lasting value. His contributions, ranging from concrete engineering problems to fundamental mathematical theorems in geometric mechanics, are remarkable. In current conferences as well as in scientific books and articles, and over a wide range of subjects, one frequently hears how his ideas as well as specific results are often used and quotedthis is one indication of just how profound and fundamental his work has impacted the community 
ISBN,Price  9781461212461 
Keyword(s)  1. CLASSICAL MECHANICS
2. EBOOK
3. EBOOK  SPRINGER
4. Fluid and Aerodynamics
5. FLUIDS
6. GEOMETRY
7. MECHANICS

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10867 


On Shelf 




13.


Title  Electromagnetic Theory for Microwaves and Optoelectronics 
Author(s)  Zhang, Keqian;Li, Dejie 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2008. 
Description  XX, 711 p : online resource 
Abstract Note  This 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 socalled guided waves, electromagnetic waves in the dispersive media and anisotropic media, Gaussian beams and scalar diffraction theory. The theories and methods presented in the book are foundations of wireless engineering, microwave and millimeter wave techniques, optoelectronics and optical fiber communication 
ISBN,Price  9783540742968 
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

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08369 


On Shelf 




14.


Title  Introduzione ai frattali in fisica 
Author(s)  Ratti, Sergio Peppino 
Publication  Milano, 1. Imprint: Springer
2. Springer Milan, 2011. 
Description  XIII, 309 pagg : online resource 
Abstract Note  La geometria frattale permette di caratterizzare le strutture complesse e irregolari che godono della propriet?? di invarianza di scala. Introdotta da Mandelbrot nel 1975, spiega in modo convincente che la natura ci pone di fronte a molti esempi di strutture complesse che godono di propriet?? peculiari: ?? un fatto che in natura l???irregolarit?? sia molto comune, come dimostrano le strutture di piante, montagne, nuvole e fulmini. Il volume nasce dall???esperienza didattica sviluppata dall???autore in oltre un decennio di insegnamento di Istituzioni di Fisica Superiore presso l???Universit?? di Pavia e intende colmare la lacuna nel panorama italiano di testi didattici su tematiche frattali. Parte dalla definizione di oggetti e di funzioni frattali, introducendo la dimensione ???non intera??? e la ???codimensione??? di un insieme, di una figura geometrica e la sua estensione a una funzione matematica irregolare. Segue l???introduzione dei frattali stocastici che tengono conto della natura parzialmente caotica dei fenomeni fisici. Di particolare rilevanza un capitolo che compendia la trattazione di fenomeni caotici e introduce gli attrattori strani di Edward Lorenz. Infine si affronta l???applicazione dei concetti frattali alla fisica cosmica, all???econofisica e alla descrizione dell???inquinamento prodotto da due disastri ambientali: l???incidente chimico di Seveso e quello nucleare di Chernobyl. Il testo si rivolge in primo luogo agli studenti dei corsi di Laurea Magistrale in Fisica, Chimica, Ingegneria e Scienze Ambientali; pu?? costituire comunque un valido ausilio come testo complementare di natura applicativa. Il carattere propedeutico del volume si presta agevolmente a un apprendimento autonomo individuale 
ISBN,Price  9788847019621 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. ENGINEERING DESIGN
4. GEOMETRY
5. MATHEMATICS
6. Mathematics, general
7. PHYSICS
8. Physics, general

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08303 


On Shelf 




15.


Title  Hyperbolic Triangle Centers : The Special Relativistic Approach 
Author(s)  Ungar, A.A 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2010. 
Description  XVI, 319 p : online resource 
Abstract Note  After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein???s special theory of relativity, the purpose of his new book is to introduce hyperbolic barycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry. It will be demonstrated that, in full analogy to classical mechanics where barycentric coordinates are related to the Newtonian mass, barycentric coordinates are related to the Einsteinian relativistic mass in hyperbolic geometry. Contrary to general belief, Einstein???s relativistic mass hence meshes up extraordinarily well with Minkowski???s fourvector formalism of special relativity. In Euclidean geometry, barycentric coordinates can be used to determine various triangle centers. While there are many known Euclidean triangle centers, only few hyperbolic triangle centers are known, and none of the known hyperbolic triangle centers has been determined analytically with respect to its hyperbolic triangle vertices. In his recent research, the author set the ground for investigating hyperbolic triangle centers via hyperbolic barycentric coordinates, and one of the purposes of this book is to initiate a study of hyperbolic triangle centers in full analogy with the rich study of Euclidean triangle centers. Owing to its novelty, the book is aimed at a large audience: it can be enjoyed equally by upperlevel undergraduates, graduate students, researchers and academics in geometry, abstract algebra, theoretical physics and astronomy. For a fruitful reading of this book, familiarity with Euclidean geometry is assumed. Mathematicalphysicists and theoretical physicists are likely to enjoy the study of Einstein???s special relativity in terms of its underlying hyperbolic geometry. Geometers may enjoy the hunt for new hyperbolic triangle centers and, finally, astronomers may use hyperbolic barycentric coordinates in the velocity space of cosmology 
ISBN,Price  9789048186372 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. ASTRONOMY
4. Astronomy, Astrophysics and Cosmology
5. ASTROPHYSICS
6. Classical and Quantum Gravitation, Relativity Theory
7. EBOOK
8. EBOOK  SPRINGER
9. ENGINEERING MATHEMATICS
10. GEOMETRY
11. GRAVITATION
12. MATHEMATICAL PHYSICS
13. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07921 


On Shelf 




16.


Title  Classical Mechanics : An Introduction 
Author(s)  Strauch, Dieter 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2009. 
Description  XXI, 405 p : online resource 
Abstract Note  This upperlevel undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein fourvector notation is introduced without explicit reference to special relativity. The author's writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. So the text is thus structured around developments of the main ideas, explicit proofs, and numerous clarifications, comments and applications. Numerous examples illustrate the material and often present alternative approaches to the final results. Frequent references are made linking mechanics to other fields of physics. These lecture notes have been used frequently by students to prepare for written and/or oral examinations. Summaries and problems conclude chapters and appendices supply needed background topics 
ISBN,Price  9783540736165 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL MECHANICS
4. Dynamical Systems and Ergodic Theory
5. DYNAMICS
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MATHEMATICS
9. ERGODIC THEORY
10. GEOMETRY
11. Mathematical Methods in Physics
12. MECHANICS
13. Mechanics, Applied
14. PHYSICS
15. Theoretical and Applied Mechanics

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07907 


On Shelf 




17.


Title  Spacetime, Geometry and Gravitation 
Author(s)  Sharan, Pankaj 
Publication  Basel, 1. Birkh??user Basel
2. Imprint: Birkh??user, 2009. 
Description  XIV, 355 p : online resource 
Abstract Note  This 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 twodimensional 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,Price  9783764399719 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. EBOOK
3. EBOOK  SPRINGER
4. GEOMETRY
5. GRAVITATION
6. PHYSICS
7. Physics, general

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07663 


On Shelf 




18.


Title  Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods 
Author(s)  Gerdjikov, Vladimir;Vilasi, Gaetano;Yanovski, Alexandar Borisov 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2008. 
Description  XII, 643 p : online resource 
Abstract Note  This 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 postgraduate students 
ISBN,Price  9783540770541 
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

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06124 


On Shelf 




19.


Title  Geometry of the Fundamental Interactions : On Riemann's Legacy to High Energy Physics and Cosmology 
Author(s)  Maia, M. D 
Publication  New York, NY, 1. Imprint: Springer
2. Springer New York, 2011. 
Description  IX, 179 p : online resource 
Abstract Note  Gravitation, 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,Price  9781441982735 
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

Item Type  eBook 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I05463 


On Shelf 



 