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Author | Title | Accn# | Year | Item Type | Claims |
| 11 |
Bandyopadhyay, P |
Geometry, Topology and Quantum Field Theory |
I10559 |
2003 |
eBook |
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| 12 |
Blanchard, Philipp |
Random Walks and Diffusions on Graphs and Databases |
I07722 |
2011 |
eBook |
|
| 13 |
Schottenloher, Martin |
A Mathematical Introduction to Conformal Field Theory |
I07652 |
2008 |
eBook |
|
| 14 |
Fursaev, Dmitri |
Operators, Geometry and Quanta |
I07445 |
2011 |
eBook |
|
| 15 |
B??r, Christian |
Quantum Field Theory on Curved Spacetimes |
I07207 |
2009 |
eBook |
|
| 16 |
Ocampo, Hernan |
Geometric and Topological Methods for Quantum Field Theory |
I07121 |
2005 |
eBook |
|
| 17 |
Gliklikh, Yuri E |
Global and Stochastic Analysis with Applications to Mathematical Physics |
I06899 |
2011 |
eBook |
|
| 18 |
Carfora, Mauro |
Quantum Triangulations |
I06607 |
2012 |
eBook |
|
| 19 |
Rudolph, Gerd |
Differential Geometry and Mathematical Physics |
I06330 |
2013 |
eBook |
|
| 20 |
Frauendiener, J??rg |
Analytical and Numerical Approaches to Mathematical Relativity |
I06140 |
2006 |
eBook |
|
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12.
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| Title | Random Walks and Diffusions on Graphs and Databases : An Introduction |
| Author(s) | Blanchard, Philipp;Volchenkov, Dimitri |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2011. |
| Description | XIV, 262 p : online resource |
| Abstract Note | Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks |
| ISBN,Price | 9783642195921 |
| Keyword(s) | 1. Applications of Graph Theory and Complex Networks
2. COMPLEX MANIFOLDS
3. COMPLEXITY
4. COMPUTATIONAL COMPLEXITY
5. Data structures (Computer science)
6. Data Structures and Information Theory
7. EBOOK
8. EBOOK - SPRINGER
9. Manifolds (Mathematics)
10. Manifolds and Cell Complexes (incl. Diff.Topology)
11. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07722 |
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On Shelf |
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13.
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| Title | A Mathematical Introduction to Conformal Field Theory |
| Author(s) | Schottenloher, Martin |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. |
| Description | XV, 249 p : online resource |
| Abstract Note | The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface. The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with most recent developments has also been added |
| ISBN,Price | 9783540686286 |
| Keyword(s) | 1. ALGEBRA
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. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. PHYSICS
11. Quantum Field Theories, String Theory
12. QUANTUM FIELD THEORY
13. STRING THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07652 |
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On Shelf |
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14.
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| Title | Operators, Geometry and Quanta : Methods of Spectral Geometry in Quantum Field Theory |
| Author(s) | Fursaev, Dmitri;Vassilevich, Dmitri |
| Publication | Dordrecht, Springer Netherlands, 2011. |
| Description | XVI, 288 p : online resource |
| Abstract Note | This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). More than hundred exercises together with their solutions are included.??This book addresses advanced graduate students and researchers in mathematical physics and in neighbouring areas??with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions |
| ISBN,Price | 9789400702059 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. Manifolds (Mathematics)
6. Mathematical Methods in Physics
7. PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07445 |
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On Shelf |
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15.
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| Title | Quantum Field Theory on Curved Spacetimes : Concepts and Mathematical Foundations |
| Author(s) | B??r, Christian;Fredenhagen, Klaus |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. |
| Description | X, 160 p. 30 illus : online resource |
| Abstract Note | After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader |
| ISBN,Price | 9783642027802 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. GRAVITATION
8. Manifolds (Mathematics)
9. Manifolds and Cell Complexes (incl. Diff.Topology)
10. Mathematical Methods in Physics
11. PHYSICS
12. QUANTUM FIELD THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07207 |
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On Shelf |
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16.
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| Title | Geometric and Topological Methods for Quantum Field Theory |
| Author(s) | Ocampo, Hernan;Paycha, Sylvie;Vargas, Andr??s |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2005. |
| Description | XV, 230 p : online resource |
| Abstract Note | This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently |
| ISBN,Price | 9783540315223 |
| Keyword(s) | 1. COMPLEX MANIFOLDS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. Mathematical Methods in Physics
10. PHYSICS
11. Quantum Field Theories, String Theory
12. QUANTUM FIELD THEORY
13. STRING THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07121 |
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On Shelf |
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17.
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| Title | Global and Stochastic Analysis with Applications to Mathematical Physics |
| Author(s) | Gliklikh, Yuri E |
| Publication | London, Springer London, 2011. |
| Description | XXIV, 436 p : online resource |
| Abstract Note | Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a more or less common treatment for areas of mathematical physics that traditionally are considered as divergent and requiring different methods of investigation Global and Stochastic Analysis with Applications to Mathematical Physics covers branches of mathematics that are currently absent in monograph form. Through the demonstration of new topics of investigation and results, both in traditional and more recent problems, this book offers a fresh perspective on ordinary and stochastic differential equations and inclusions (in particular, given in terms of Nelson's mean derivatives) on linear spaces and manifolds. Topics covered include classical mechanics on non-linear configuration spaces, problems of statistical and quantum physics, and hydrodynamics A self-contained book that provides a large amount of preliminary material and recent results which will serve to be a useful introduction to the subject and a valuable resource for further research. It will appeal to researchers, graduate and PhD students working in global analysis, stochastic analysis and mathematical physics |
| ISBN,Price | 9780857291639 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. Manifolds (Mathematics)
6. Mathematical Methods in Physics
7. PHYSICS
8. PROBABILITIES
9. Probability Theory and Stochastic Processes
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06899 |
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On Shelf |
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18.
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| Title | Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing |
| Author(s) | Carfora, Mauro;Marzuoli, Annalisa |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2012. |
| Description | XVII, 284 p. 90 illus., 10 illus. in color : online resource |
| Abstract Note | Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. ?? The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest. ?? This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications. ?? |
| ISBN,Price | 9783642244407 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK - SPRINGER
5. GRAVITATION
6. Manifolds (Mathematics)
7. Manifolds and Cell Complexes (incl. Diff.Topology)
8. Mathematical Applications in the Physical Sciences
9. MATHEMATICAL PHYSICS
10. PHYSICS
11. Physics, general
12. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06607 |
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On Shelf |
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19.
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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 |
Multi-Media Links
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06330 |
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On Shelf |
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20.
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| Title | Analytical and Numerical Approaches to Mathematical Relativity |
| Author(s) | Frauendiener, J??rg;Giulini, Domenico J. W;Perlick, Volker |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. |
| Description | XVII, 281 p : online resource |
| Abstract Note | Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike |
| ISBN,Price | 9783540334842 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK - SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. Mathematical Methods in Physics
10. Numerical and Computational Physics, Simulation
11. PHYSICS
|
| Item Type | eBook |
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06140 |
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On Shelf |
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