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Author  Title  Accn#  Year  Item Type  Claims 
1 
Khakshournia, Samad 
The Art of Gluing SpaceTime Manifolds 
I12922 
2023 
eBook 

2 
Bargue??o, Pedro 
The GerochHeldPenrose Calculus 
I12839 
2023 
eBook 

3 
Nielsen, Frank 
Progress in Information Geometry 
I11629 
2021 
eBook 

4 
Szabo, Richard J 
Equivariant Cohomology and Localization of Path Integrals 
I11316 
2000 
eBook 

5 
Gordon, B. Brent 
The Arithmetic and Geometry of Algebraic Cycles 
I10736 
2000 
eBook 

6 
Maeda, Yoshiaki 
Noncommutative Differential Geometry and Its Applications to Physics 
I10561 
2001 
eBook 

7 
Bandyopadhyay, P 
Geometry, Topology and Quantum Field Theory 
I10559 
2003 
eBook 

8 
Schottenloher, Martin 
A Mathematical Introduction to Conformal Field Theory 
I07652 
2008 
eBook 

9 
Fursaev, Dmitri 
Operators, Geometry and Quanta 
I07445 
2011 
eBook 

10 
Gliklikh, Yuri E 
Global and Stochastic Analysis with Applications to Mathematical Physics 
I06899 
2011 
eBook 


1.


Title  The Art of Gluing SpaceTime Manifolds : Methods and Applications 
Author(s)  Khakshournia, Samad;Mansouri, Reza 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  VIII, 122 p. 1 illus : online resource 
Abstract Note  This concise book reviews methods used for gluing spacetime manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two spacetime manifolds from the early times of general relativity up to now 
ISBN,Price  9783031486128 
Keyword(s)  1. Classical and Quantum Gravity
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. COSMOLOGY
5. DIFFERENTIAL GEOMETRY
6. EBOOK  SPRINGER
7. GENERAL RELATIVITY
8. GENERAL RELATIVITY (PHYSICS)
9. GEOMETRY, DIFFERENTIAL
10. GLOBAL ANALYSIS (MATHEMATICS)
11. Global Analysis and Analysis on Manifolds
12. GRAVITATION
13. Manifolds (Mathematics)

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I12922 


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2.


Title  The GerochHeldPenrose Calculus : Fundamentals and Applications 
Author(s)  Bargue??o, Pedro;Contreras, Ernesto 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  XVI, 70 p. 2 illus : online resource 
Abstract Note  This book offers a primer on the fundamentals and applications of the GerochHeldPenrose (GHP) calculus, a powerful formalism designed for spacetimes that occur frequently in the teaching of General Relativity. Specifically, the book shows in detail the power of the calculus when dealing with spherically symmetric spacetimes. After introducing the basics, a new look at all the classical spherically symmetric black hole solutions is given within the GHP formalism. This is then employed to give new insights into the TolmanOppenheimerVolkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a rewriting of some essential features of black hole thermodynamics within the GHP formalism is performed. The book is based on the authors' lecture notes, used in their undergraduate and graduate lectures and while supervising their upper undergraduate and graduate students. To fully benefit from this concise primer, readers only need an undergraduate background in general relativity 
ISBN,Price  9783031429484 
Keyword(s)  1. EBOOK  SPRINGER
2. Foundations of Physics and Cosmology
3. GENERAL RELATIVITY
4. GENERAL RELATIVITY (PHYSICS)
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. Integral Transforms and Operational Calculus
8. Manifolds (Mathematics)
9. MATHEMATICAL ANALYSIS
10. MATHEMATICAL PHYSICS
11. SCIENCE
12. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I12839 


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3.


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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4.


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 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11316 


On Shelf 




5.


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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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10736 


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6.


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 


On Shelf 




8.


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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9.


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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10.
 
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 


On Shelf 



 