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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 |
|
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11.
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| 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 Hamilton-Jacobi 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
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06330 |
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12.
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| 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, worked-out 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 space-time domains ??? black holes ??? cosmological models ??? algebraic classifications and the Newman-Penrose equations ??? the coupled Einstein-Maxwell-Klein-Gordon 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; Carnegie-Mellon 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 semi-classical 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
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05717 |
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On Shelf |
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13.
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| 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, 1983-85, 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
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I04439 |
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On Shelf |
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14.
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| 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 group-theoretical 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 3-8, 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. Non-associative Rings and Algebras
11. Nonassociative rings
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I04271 |
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On Shelf |
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15.
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| 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 non-integrable. Hence methods to prove non-integrability results are presented and the different meaning attributed to non-integrability 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 near-integrable 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 Aubrey-Mather 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
|
| Item Type | eBook |
Multi-Media Links
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I03898 |
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On Shelf |
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16.
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| 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
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I03156 |
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On Shelf |
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17.
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| 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 pseudo-differential operators, wave-front 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
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I02671 |
|
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On Shelf |
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18.
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| 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 self-dual Yang--Mills (SDYM) equations, a four-dimensional 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 self-dual Yang--Mills (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
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I02446 |
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On Shelf |
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20.
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| 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 Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01274 |
|
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On Shelf |
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