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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Nielsen, Frank |
Progress in Information Geometry |
I11629 |
2021 |
eBook |
|
| 2 |
Szabo, Richard J |
Equivariant Cohomology and Localization of Path Integrals |
I11316 |
2000 |
eBook |
|
| 3 |
Gordon, B. Brent |
The Arithmetic and Geometry of Algebraic Cycles |
I10736 |
2000 |
eBook |
|
| 4 |
Maeda, Yoshiaki |
Noncommutative Differential Geometry and Its Applications to Physics |
I10561 |
2001 |
eBook |
|
| 5 |
Bandyopadhyay, P |
Geometry, Topology and Quantum Field Theory |
I10559 |
2003 |
eBook |
|
| 6 |
Schottenloher, Martin |
A Mathematical Introduction to Conformal Field Theory |
I07652 |
2008 |
eBook |
|
| 7 |
Fursaev, Dmitri |
Operators, Geometry and Quanta |
I07445 |
2011 |
eBook |
|
| 8 |
Gliklikh, Yuri E |
Global and Stochastic Analysis with Applications to Mathematical Physics |
I06899 |
2011 |
eBook |
|
| 9 |
Rudolph, Gerd |
Differential Geometry and Mathematical Physics |
I06330 |
2013 |
eBook |
|
| 10 |
Das, Anadijiban |
The General Theory of Relativity |
I05717 |
2012 |
eBook |
|
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|
1.
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| Title | Progress in Information Geometry : Theory and Applications |
| Author(s) | Nielsen, Frank |
| Publication | Cham, Springer International Publishing, 2021. |
| Description | XII, 274 p. 105 illus., 35 illus. in color : online resource |
| Abstract Note | This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI???2019 ??? Geometric Science of Information that was held at ENAC, Toulouse (France) |
| ISBN,Price | 9783030654597 |
| Keyword(s) | 1. Coding and Information Theory
2. CODING THEORY
3. Communications Engineering, Networks
4. COMPLEX SYSTEMS
5. EBOOK
6. EBOOK - SPRINGER
7. GLOBAL ANALYSIS (MATHEMATICS)
8. Global Analysis and Analysis on Manifolds
9. INFORMATION THEORY
10. Manifolds (Mathematics)
11. SIGNAL PROCESSING
12. Signal, Speech and Image Processing
13. Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences
14. Statistics??
15. SYSTEM THEORY
16. TELECOMMUNICATION
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11629 |
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On Shelf |
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2.
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| Title | Equivariant Cohomology and Localization of Path Integrals |
| Author(s) | Szabo, Richard J |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2000. |
| Description | XI, 315 p : online resource |
| Abstract Note | This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented |
| ISBN,Price | 9783540465508 |
| Keyword(s) | 1. ALGEBRAIC TOPOLOGY
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. NUCLEAR PHYSICS
11. Particle and Nuclear Physics
12. PHYSICS
13. QUANTUM FIELD THEORY
14. TOPOLOGY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11316 |
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On Shelf |
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3.
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| Title | The Arithmetic and Geometry of Algebraic Cycles |
| Author(s) | Gordon, B. Brent;Lewis, James D;M??ller-Stach, Stefan;Saito, Shuji;Yui, Noriko |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | XXX, 615 p : online resource |
| Abstract Note | The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al?? berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec?? tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic?? ipants. In addition, participants' reprints and preprints were displayed through?? out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction |
| ISBN,Price | 9789401140980 |
| Keyword(s) | 1. ALGEBRA
2. ALGEBRAIC GEOMETRY
3. Applications of Mathematics
4. APPLIED MATHEMATICS
5. EBOOK
6. EBOOK - SPRINGER
7. ENGINEERING MATHEMATICS
8. Field theory (Physics)
9. Field Theory and Polynomials
10. GLOBAL ANALYSIS (MATHEMATICS)
11. Global Analysis and Analysis on Manifolds
12. K-THEORY
13. Manifolds (Mathematics)
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10736 |
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On Shelf |
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4.
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| Title | Noncommutative Differential Geometry and Its Applications to Physics : Proceedings of the Workshop at Shonan, Japan, June 1999 |
| Author(s) | Maeda, Yoshiaki;Moriyoshi, Hitoshi;Omori, Hideki;Sternheimer, Daniel;Tate, Tatsuya;Watamura, Satoshi |
| Publication | Dordrecht, Springer Netherlands, 2001. |
| Description | VIII, 308 p : online resource |
| Abstract Note | Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics |
| ISBN,Price | 9789401007047 |
| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
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. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Manifolds (Mathematics)
11. Operational calculus
12. QUANTUM FIELD THEORY
13. 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 |
| I10561 |
|
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On Shelf |
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6.
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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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7.
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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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8.
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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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9.
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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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On Shelf |
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10.
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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 |
Multi-Media Links
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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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