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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 


1.


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 informationgeometric 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I11629 


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2.


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

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Call#  Status  Issued To  Return Due On  Physical Location 
I11316 


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3.


Title  The Arithmetic and Geometry of Algebraic Cycles 
Author(s)  Gordon, B. Brent;Lewis, James D;M??llerStach, 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 kickoff activity of the CRM 199899 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. KTHEORY
13. Manifolds (Mathematics)

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Call#  Status  Issued To  Return Due On  Physical Location 
I10736 


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4.


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 AtiyahSinger 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 Dbranes. 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I10561 


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6.


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, selfcontained 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 twodimensional 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 selfcontained 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I07652 


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7.


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 selfcontained 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 finitetemperature field theory, Dbranes, 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 (Dbranes, 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I07445 


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8.


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 nonlinear configuration spaces, problems of statistical and quantum physics, and hydrodynamics A selfcontained 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I06899 


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9.


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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Call#  Status  Issued To  Return Due On  Physical Location 
I06330 


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10.
 
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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