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Author  Title  Accn#  Year  Item Type  Claims 
11 
Rudolph, Gerd 
Differential Geometry and Mathematical Physics 
I06330 
2013 
eBook 

12 
Das, Anadijiban 
The General Theory of Relativity 
I05717 
2012 
eBook 

13 
Schroeck Jr., Franklin E 
Quantum Mechanics on Phase Space 
I04439 
1996 
eBook 

14 
Tanner, Elizabeth A 
Noncompact Lie Groups and Some of Their Applications 
I04271 
1994 
eBook 

15 
Sim??, Carles 
Hamiltonian Systems with Three or More Degrees of Freedom 
I03898 
1999 
eBook 

16 
Antonelli, P.L 
Fundamentals of Finslerian Diffusion with Applications 
I03156 
1999 
eBook 

17 
Rodino, Luigi 
Microlocal Analysis and Spectral Theory 
I02671 
1997 
eBook 

18 
Clarkson, P.A 
Applications of Analytic and Geometric Methods to Nonlinear Differential Equations 
I02446 
1993 
eBook 

19 
Schlomiuk, Dana 
Bifurcations and Periodic Orbits of Vector Fields 
I01719 
1993 
eBook 

20 
Hurtubise, Jacques 
Gauge Theory and Symplectic Geometry 
I01274 
1997 
eBook 


11.


Title  Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems 
Author(s)  Rudolph, Gerd;Schmidt, Matthias 
Publication  Dordrecht, Springer Netherlands, 2013. 
Description  XIV, 762 p : online resource 
Abstract Note  Starting from an undergraduate level, this book systematically develops the basics of ??? Calculus on manifolds, vector bundles, vector fields and differential forms, ??? Lie groups and Lie group actions, ??? Linear symplectic algebra and symplectic geometry, ??? Hamiltonian systems, symmetries and reduction, integrable systems and HamiltonJacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact 
ISBN,Price  9789400753457 
Keyword(s)  1. CLASSICAL MECHANICS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  SPRINGER
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. LIE GROUPS
8. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. MECHANICS
11. PHYSICS
12. TOPOLOGICAL GROUPS
13. Topological Groups, Lie Groups

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I06330 


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12.


Title  The General Theory of Relativity : A Mathematical Exposition 
Author(s)  Das, Anadijiban;DeBenedictis, Andrew 
Publication  New York, NY, Springer New York, 2012. 
Description  XXVI, 678 p : online resource 
Abstract Note  ??The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, workedout problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: ??? tensor analysis ??? the special theory of relativity ??? the general theory of relativity and Einstein???s field equations ??? spherically symmetric solutions and experimental confirmations ??? static and stationary spacetime domains ??? black holes ??? cosmological models ??? algebraic classifications and the NewmanPenrose equations ??? the coupled EinsteinMaxwellKleinGordon equations ??? appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland; Jadavpur University, India; CarnegieMellon University, USA; and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semiclassical gravity 
ISBN,Price  9781461436584 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COSMOLOGY
3. EBOOK
4. EBOOK  SPRINGER
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. GRAVITATION
8. Manifolds (Mathematics)
9. Mathematical Applications in the Physical Sciences
10. MATHEMATICAL PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I05717 


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13.


Title  Quantum Mechanics on Phase Space 
Author(s)  Schroeck Jr., Franklin E 
Publication  Dordrecht, Springer Netherlands, 1996. 
Description  XVI, 672 p : online resource 
Abstract Note  In this monograph, we shall present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics. Here, we motivate this new formulation and sketch how it developed. Since the publication of Dirac's famous book on quantum mechanics [Dirac, 1930] and von Neumann's classic text on the mathematical foundations of quantum mechanics two years later [von Neumann, 1932], there have appeared a number of lines of development, the intent of each being to enrich quantum theory by extra?? polating or even modifying the original basic structure. These lines of development have seemed to go in different directions, the major directions of which are identified here: First is the introduction of group theoretical methods [Weyl, 1928; Wigner, 1931] with the natural extension to coherent state theory [Klauder and Sudarshan, 1968; Peremolov, 1971]. The call for an axiomatic approach to physics [Hilbert, 1900; Sixth Problem] led to the development of quantum logic [Mackey, 1963; Jauch, 1968; Varadarajan, 1968, 1970; Piron, 1976; Beltrametti & Cassinelli, 1981], to the creation of the operational approach [Ludwig, 198385, 1985; Davies, 1976] with its application to quantum communication theory [Helstrom, 1976; Holevo, 1982), and to the development of the C* approach [Emch, 1972]. An approach through stochastic differential equations ("stochastic mechanics") was developed [Nelson, 1964, 1966, 1967] 
ISBN,Price  9789401728300 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. Imaging / Radiology
6. LIE GROUPS
7. Manifolds (Mathematics)
8. Neurosciences
9. QUANTUM PHYSICS
10. Radiology
11. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
12. Statistics??
13. TOPOLOGICAL GROUPS
14. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I04439 


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14.


Title  Noncompact Lie Groups and Some of Their Applications 
Author(s)  Tanner, Elizabeth A;Wilson, R 
Publication  Dordrecht, Springer Netherlands, 1994. 
Description  512 p : online resource 
Abstract Note  During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig?? nificance. Several physical observations which were not understood before are now explained in terms of models based on new grouptheoretical structures such as dy?? namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 38, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr 
ISBN,Price  9789401110785 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. GROUP THEORY
6. Group Theory and Generalizations
7. LIE GROUPS
8. Manifolds (Mathematics)
9. MATHEMATICAL PHYSICS
10. Nonassociative Rings and Algebras
11. Nonassociative rings
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I04271 


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15.


Title  Hamiltonian Systems with Three or More Degrees of Freedom 
Author(s)  Sim??, Carles 
Publication  Dordrecht, Springer Netherlands, 1999. 
Description  XXIV, 658 p : online resource 
Abstract Note  A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are nonintegrable. Hence methods to prove nonintegrability results are presented and the different meaning attributed to nonintegrability are discussed. For systems near an integrable one, it can be shown that, under suitable conditions, some parts of the integrable structure, most of the invariant tori, survive. Many of the papers discuss nearintegrable systems. From a topological point of view, some singularities must appear in different problems, either caustics, geodesics, moving wavefronts, etc. This is also related to singularities in the projections of invariant objects, and can be used as a signature of these objects. Hyperbolic dynamics appear as a source on unpredictable behaviour and several mechanisms of hyperbolicity are presented. The destruction of tori leads to AubreyMather objects, and this is touched on for a related class of systems. Examples without periodic orbits are constructed, against a classical conjecture. Other topics concern higher dimensional systems, either finite (networks and localised vibrations on them) or infinite, like the quasiperiodic Schr??dinger operator or nonlinear hyperbolic PDE displaying quasiperiodic solutions. Most of the applications presented concern celestial mechanics problems, like the asteroid problem, the design of spacecraft orbits, and methods to compute periodic solutions 
ISBN,Price  9789401146739 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL MECHANICS
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. GLOBAL ANALYSIS (MATHEMATICS)
9. Global Analysis and Analysis on Manifolds
10. Manifolds (Mathematics)
11. MECHANICS
12. ORDINARY DIFFERENTIAL EQUATIONS
13. PARTIAL DIFFERENTIAL EQUATIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I03898 


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16.


Title  Fundamentals of Finslerian Diffusion with Applications 
Author(s)  Antonelli, P.L;Zastawniak, T.J 
Publication  Dordrecht, Springer Netherlands, 1999. 
Description  VII, 205 p : online resource 
Abstract Note  The erratic motion of pollen grains and other tiny particles suspended in liquid is known as Brownian motion, after its discoverer, Robert Brown, a botanist who worked in 1828, in London. He turned over the problem of why this motion occurred to physicists who were investigating kinetic theory and thermodynamics; at a time when the existence of molecules had yet to be established. In 1900, Henri Poincare lectured on this topic to the 1900 International Congress of Physicists, in Paris [Wic95]. At this time, Louis Bachelier, a thesis student of Poincare, made a monumental breakthrough with his Theory of Stock Market Fluctuations, which is still studied today, [Co064]. Norbert Wiener (1923), who was first to formulate a rigorous concept of the Brownian path, is most often cited by mathematicians as the father of the subject, while physicists will cite A. Einstein (1905) and M. Smoluchowski. Both considered Markov diffusions and realized that Brownian behaviour nd could be formulated in terms of parabolic 2 order linear p. d. e. 'so Further?? more, from this perspective, the covariance of changes in position could be allowed to depend on the position itself, according to the invariant form of the diffusion introduced by Kolmogorov in 1937, [KoI37]. Thus, any time?? homogeneous Markov diffusion could be written in terms of the Laplacian, intrinsically given by the symbol (covariance) of the p. d. e. , plus a drift vec?? tor. The theory was further advanced in 1949, when K 
ISBN,Price  9789401148245 
Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK  SPRINGER
4. Evolutionary Biology
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. Manifolds (Mathematics)
8. PROBABILITIES
9. Probability Theory and Stochastic Processes

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Call#  Status  Issued To  Return Due On  Physical Location 
I03156 


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17.


Title  Microlocal Analysis and Spectral Theory 
Author(s)  Rodino, Luigi 
Publication  Dordrecht, Springer Netherlands, 1997. 
Description  VIII, 444 p : online resource 
Abstract Note  The NATO Advanced Study Institute "Microlocal Analysis and Spectral The?? ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa?? tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudodifferential operators, wavefront sets and Fourier integral operators, the general theory of the lin?? ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math?? ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics 
ISBN,Price  9789401156264 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. INTEGRAL TRANSFORMS
6. Integral Transforms, Operational Calculus
7. Manifolds (Mathematics)
8. Operational calculus
9. OPERATOR THEORY
10. PARTIAL DIFFERENTIAL EQUATIONS
11. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I02671 


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18.


Title  Applications of Analytic and Geometric Methods to Nonlinear Differential Equations 
Author(s)  Clarkson, P.A 
Publication  Dordrecht, Springer Netherlands, 1993. 
Description  X, 477 p : online resource 
Abstract Note  In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the selfdual YangMills (SDYM) equations, a fourdimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlev?? analysis of partial differential equations, studies of the Painlev?? equations and symmetry reductions of nonlinear partial differential equations. (ABSTRACT) In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the selfdual YangMills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlev?? analysis of partial differential equations, studies of the Painlev?? equations and symmetry reductions of nonlinear partial differential equations 
ISBN,Price  9789401120821 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. DIFFERENTIAL EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. GLOBAL ANALYSIS (MATHEMATICS)
8. Global Analysis and Analysis on Manifolds
9. Manifolds (Mathematics)
10. Mathematical and Computational Engineering
11. MATHEMATICAL PHYSICS
12. ORDINARY DIFFERENTIAL EQUATIONS
13. PARTIAL DIFFERENTIAL EQUATIONS
14. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I02446 


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20.
 
Title  Gauge Theory and Symplectic Geometry 
Author(s)  Hurtubise, Jacques;Lalonde, Fran??ois 
Publication  Dordrecht, Springer Netherlands, 1997. 
Description  XVII, 212 p : online resource 
Abstract Note  Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of SeibergWitten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to SeibergWitten theory, to applications of the SW theory to fourdimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudoholomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, MorseFloer theory; pseudoconvexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory 
ISBN,Price  9789401716673 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. Applications of Mathematics
3. APPLIED MATHEMATICS
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. GLOBAL ANALYSIS (MATHEMATICS)
9. Global Analysis and Analysis on Manifolds
10. Manifolds (Mathematics)
11. PARTIAL DIFFERENTIAL EQUATIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I01274 


On Shelf 



 