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Author  Title  Accn#  Year  Item Type  Claims 
1 
Alabiso, Carlo 
A Primer on Hilbert Space Theory 
I11622 
2021 
eBook 

2 
Patrascu, AndreiTudor 
The Universal Coefficient Theorem and Quantum Field Theory 
I09785 
2017 
eBook 

3 
Rudolph, Gerd 
Differential Geometry and Mathematical Physics 
I09737 
2017 
eBook 

4 
Tanaka, Hiro Lee 
Lectures on Factorization Homology, ???Categories, and Topological Field Theories 
I09620 
2020 
eBook 

5 
Szabo, Richard J 
Equivariant Cohomology and Localization of Path Integrals 
I11316 
2000 
eBook 

6 
CarowWatamura, Ursula 
Quantum Field Theory and Noncommutative Geometry 
I08223 
2005 
eBook 

7 
Alabiso, Carlo 
A Primer on Hilbert Space Theory 
I08208 
2015 
eBook 

8 
Schlichenmaier, Martin 
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces 
I07756 
2007 
eBook 

9 
Jardine, John F 
Algebraic KTheory: Connections with Geometry and Topology 
I03578 
1989 
eBook 

10 
Goerss, P.G 
Algebraic KTheory and Algebraic Topology 
I02299 
1993 
eBook 


1.


Title  A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups 
Author(s)  Alabiso, Carlo;Weiss, Ittay 
Publication  Cham, Springer International Publishing, 2021. 
Description  XXII, 328 p. 19 illus : online resource 
Abstract Note  This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for nonrelativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but readerfriendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors???s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics 
ISBN,Price  9783030674175 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. EBOOK
3. EBOOK  SPRINGER
4. FUNCTIONAL ANALYSIS
5. Mathematical Methods in Physics
6. MATHEMATICAL PHYSICS

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I11622 


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2.


Title  The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker 
Author(s)  Patrascu, AndreiTudor 
Publication  Cham, Springer International Publishing, 2017. 
Description  XVI, 270 p. 6 illus., 1 illus. in color : online resource 
Abstract Note  This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of nonperturbative physics???one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the EREPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics 
ISBN,Price  9783319461434 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL 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 
I09785 


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3.


Title  Differential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields 
Author(s)  Rudolph, Gerd;Schmidt, Matthias 
Publication  Dordrecht, Springer Netherlands, 2017. 
Description  XVI, 830 p. 15 illus., 2 illus. in color : online resource 
Abstract Note  The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:  Geometry and topology of fibre bundles,  Clifford algebras, spin structures and Dirac operators,  Gauge theory. Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory. The first building block includes a number of specific topics, like invariant connections, universal connections, Hstructures and the Postnikov approximation of classifying spaces. Given the great importance of Dirac operators in gauge theory, a complete proof of the AtiyahSinger Index Theorem is presented. The gauge theory part contains the study of YangMills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the SeibergWitten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the nongeneric gauge orbit strata in the framework of Hamiltonian lattice gauge theory. The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level 
ISBN,Price  9789402409598 
Keyword(s)  1. ALGEBRAIC GEOMETRY
2. ALGEBRAIC TOPOLOGY
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK  SPRINGER
6. Elementary particles (Physics)
7. Elementary Particles, Quantum Field Theory
8. Mathematical Methods in Physics
9. MATHEMATICAL PHYSICS
10. PHYSICS
11. QUANTUM FIELD THEORY

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09737 


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4.


Title  Lectures on Factorization Homology, ???Categories, and Topological Field Theories 
Author(s)  Tanaka, Hiro Lee 
Publication  Cham, Springer International Publishing, 2020. 
Description  XII, 84 p. 13 illus., 2 illus. in color : online resource 
Abstract Note  This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples. Along the way, the reader is also introduced to modern ideas in homotopy theory and category theory, particularly as it relates to the use of infinitycategories. As with the original lectures, the text is meant to be a leisurely read suitable for advanced graduate students and interested researchers in topology and adjacent fields 
ISBN,Price  9783030611637 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. Category theory (Mathematics)
3. Category Theory, Homological Algebra
4. EBOOK
5. EBOOK  SPRINGER
6. Homological algebra
7. MATHEMATICAL PHYSICS
8. Theoretical, Mathematical and Computational Physics

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09620 


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5.


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


On Shelf 




6.


Title  Quantum Field Theory and Noncommutative Geometry 
Author(s)  CarowWatamura, Ursula;Maeda, Yoshiaki;Watamura, Satoshi 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2005. 
Description  X, 298 p : online resource 
Abstract Note  This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of qdeformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers  so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field 
ISBN,Price  9783540315261 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. LIE GROUPS
8. Mathematical Methods in Physics
9. PHYSICS
10. QUANTUM FIELD THEORY
11. TOPOLOGICAL GROUPS
12. Topological Groups, Lie Groups

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08223 


On Shelf 




7.


Title  A Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups 
Author(s)  Alabiso, Carlo;Weiss, Ittay 
Publication  Cham, Springer International Publishing, 2015. 
Description  XVII, 255 p. 5 illus : online resource 
Abstract Note  This book is an introduction to the theory of Hilbert space, a fundamental tool for nonrelativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but readerfriendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics 
ISBN,Price  9783319037134 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. EBOOK
3. EBOOK  SPRINGER
4. FUNCTIONAL ANALYSIS
5. Mathematical Methods in Physics
6. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I08208 


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9.


Title  Algebraic KTheory: Connections with Geometry and Topology 
Author(s)  Jardine, John F;Snaith, V.P 
Publication  Dordrecht, Springer Netherlands, 1989. 
Description  XIV, 550 p : online resource 
Abstract Note  A NATO Advanced Study Institute entitled "Algebraic Ktheory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic Ktheory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the subject has become central to the study of the relationship between Topology, Algebraic Geometry and Number Theory. It draws on all of these fields as a subject in its own right, but it serves as well as an effective translator for the application of concepts from one field in another. The papers in this volume are representative of the current state of the subject. They are, for the most part, research papers which are primarily of interest to researchers in the field and to those aspiring to be such. There is a section on problems in this volume which should be of particular interest to students; it contains a discussion of the problems from Gersten's wellknown list of 1973, as well as a short list of new problems 
ISBN,Price  9789400923997 
Keyword(s)  1. ALGEBRAIC GEOMETRY
2. ALGEBRAIC TOPOLOGY
3. EBOOK
4. EBOOK  SPRINGER
5. KTHEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I03578 


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10.
 
Title  Algebraic KTheory and Algebraic Topology 
Author(s)  Goerss, P.G;Jardine, John F 
Publication  Dordrecht, Springer Netherlands, 1993. 
Description  XII, 328 p : online resource 
Abstract Note  A NATO Advanced Study Institute entitled "Algebraic Ktheory and Algebraic Topology" was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991. This book is the volume of proceedings for this meeting. The papers that appear here are representative of most of the lectures that were given at the conference, and therefore present a "snapshot" of the state ofthe Ktheoretic art at the end of 1991. The underlying objective of the meeting was to discuss recent work related to the LichtenbaumQuillen complex of conjectures, fro~ both the algebraic and topological points of view. The papers in this volume deal with a range of topics, including motivic cohomology theories, cyclic homology, intersection homology, higher class field theory, and the former telescope conjecture. This meeting was jointly funded by grants from NATO and the National Science Foun?? dation in the United States. I would like to take this opportunity to thank these agencies for their support. I would also like to thank the other members of the organizing com?? mittee, namely Paul Goerss, Bruno Kahn and Chuck Weibel, for their help in making the conference successful. This was the second NATO Advanced Study Institute to be held in this venue; the first was in 1987. The success of both conferences owes much to the professionalism and helpfulness of the administration and staff of Chateau Lake Louise 
ISBN,Price  9789401706957 
Keyword(s)  1. ALGEBRA
2. ALGEBRAIC GEOMETRY
3. ALGEBRAIC TOPOLOGY
4. Associative rings
5. Associative Rings and Algebras
6. EBOOK
7. EBOOK  SPRINGER
8. KTHEORY
9. Order, Lattices, Ordered Algebraic Structures
10. Ordered algebraic structures
11. Rings (Algebra)

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Call#  Status  Issued To  Return Due On  Physical Location 
I02299 


On Shelf 



 