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 #  AuthorTitleAccn#YearItem Type Claims
11 Ydri, Badis Lectures on Matrix Field Theory I08731 2017 eBook  
12 Zhelnorovich, Vladimir A Theory of Spinors and Its Application in Physics and Mechanics I08606 2019 eBook  
13 Esposito, Giampiero Complex General Relativity I10890 2002 eBook  
14 Gordon, B. Brent The Arithmetic and Geometry of Algebraic Cycles I10736 2000 eBook  
15 van Suijlekom, Walter D Noncommutative Geometry and Particle Physics I07338 2015 eBook  
16 De Vylder, F. Etienne Premium Calculation in Insurance I04930 1984 eBook  
17 Jardine, John F Algebraic K-Theory: Connections with Geometry and Topology I03578 1989 eBook  
18 Mayne, D.Q Geometric Methods in System Theory I03294 1973 eBook  
19 Goerss, P.G Algebraic K-Theory and Algebraic Topology I02299 1993 eBook  
20 Schlichenmaier, Martin An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces I02274 1989 eBook  
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11.    
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TitleLectures on Matrix Field Theory
Author(s)Ydri, Badis
PublicationCham, Springer International Publishing, 2017.
DescriptionXII, 352 p. 8 illus., 6 illus. in color : online resource
Abstract NoteThese lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.?? The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is treated in great detail, with a separate chapter on the multitrace approach. The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students ??? with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications ??? these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries
ISBN,Price9783319460031
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Computer science???Mathematics 3. EBOOK 4. EBOOK - SPRINGER 5. Math Applications in Computer Science 6. MATHEMATICAL PHYSICS 7. Quantum Field Theories, String Theory 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS 10. STRING THEORY
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12.     
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TitleTheory of Spinors and Its Application in Physics and Mechanics
Author(s)Zhelnorovich, Vladimir A
PublicationCham, Springer International Publishing, 2019.
DescriptionXVI, 392 p : online resource
Abstract NoteThis book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein???Dirac equations, nonlinear Heisenberg???s spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties
ISBN,Price9783030278366
Keyword(s)1. ALGEBRAIC GEOMETRY 2. COSMOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. QUANTUM FIELD THEORY
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13.     
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TitleComplex General Relativity
Author(s)Esposito, Giampiero
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXII, 206 p : online resource
Abstract NoteThis book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 ??? ??? space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language
ISBN,Price9780306471186
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. Classical and Quantum Gravitation, Relativity Theory 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. GRAVITATION 10. MATHEMATICAL PHYSICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. Theoretical, Mathematical and Computational Physics
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14.     
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TitleThe Arithmetic and Geometry of Algebraic Cycles
Author(s)Gordon, B. Brent;Lewis, James D;M??ller-Stach, Stefan;Saito, Shuji;Yui, Noriko
PublicationDordrecht, Springer Netherlands, 2000.
DescriptionXXX, 615 p : online resource
Abstract NoteThe 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,Price9789401140980
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)
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15.     
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TitleNoncommutative Geometry and Particle Physics
Author(s)van Suijlekom, Walter D
PublicationDordrecht, Springer Netherlands, 2015.
DescriptionXVI, 237 p. 28 illus., 2 illus. in color : online resource
Abstract NoteThis book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a ???light??? approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model.
ISBN,Price9789401791625
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM FIELD THEORY
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16.     
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TitlePremium Calculation in Insurance
Author(s)De Vylder, F. Etienne;Goovaerts, Marc;Haezendonck, J
PublicationDordrecht, Springer Netherlands, 1984.
DescriptionXII, 564 p : online resource
Abstract NoteI am pleased to participate in this Summer School and look forward to sharing some ideas with you over the next few days. At the outset I would like to describe the approach I will take in 1 presenting the material. I aim to present the material in a non?? rigorous way and hopefully in an intuitive manner. At the same time I will draw attention to some of the major technical problems. It is pitched at someone who is unfamiliar with the area. The results presented here are unfamiliar to actuaries and insurance mathematicians although they are well known in some other fields. During the next few minutes I will make some preliminary comments. The purpose of these comments is to place the lectures in perspective and motivate the upcoming material. After this I will outline briefly the topics to be covered during the rest of this lecture and in the lectures that will follow. One of the central themes of these lectures is RISK-SHARING. Risk-sharing is a common response to uncertainty. Such uncertainty can arise from natural phenomena or social causes. One particular form of risk-sharing is the insurance mechanism. I will be dealing with models which have a natural application in the insurance area but they have been applied in other areas as well. In fact some of the paradigms to be discussed have the capacity to provide a unified treatment of problems in diverse fields
ISBN,Price9789400963542
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER
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17.     
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TitleAlgebraic K-Theory: Connections with Geometry and Topology
Author(s)Jardine, John F;Snaith, V.P
PublicationDordrecht, Springer Netherlands, 1989.
DescriptionXIV, 550 p : online resource
Abstract NoteA NATO Advanced Study Institute entitled "Algebraic K-theory: 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 K-theory 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 well-known list of 1973, as well as a short list of new problems
ISBN,Price9789400923997
Keyword(s)1. ALGEBRAIC GEOMETRY 2. ALGEBRAIC TOPOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. K-THEORY
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18.     
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TitleGeometric Methods in System Theory : Proceedings of the NATO Advanced Study Institute held at London, England, August 27-September 7, 1973
Author(s)Mayne, D.Q;Brockett, R.W
PublicationDordrecht, Springer Netherlands, 1973.
DescriptionVII, 314 p : online resource
Abstract NoteGeometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon
ISBN,Price9789401026758
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. SYSTEM THEORY 5. Systems Theory, Control
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19.     
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TitleAlgebraic K-Theory and Algebraic Topology
Author(s)Goerss, P.G;Jardine, John F
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXII, 328 p : online resource
Abstract NoteA NATO Advanced Study Institute entitled "Algebraic K-theory 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 K-theoretic art at the end of 1991. The underlying objective of the meeting was to discuss recent work related to the Lichtenbaum-Quillen 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,Price9789401706957
Keyword(s)1. ALGEBRA 2. ALGEBRAIC GEOMETRY 3. ALGEBRAIC TOPOLOGY 4. Associative rings 5. Associative Rings and Algebras 6. EBOOK 7. EBOOK - SPRINGER 8. K-THEORY 9. Order, Lattices, Ordered Algebraic Structures 10. Ordered algebraic structures 11. Rings (Algebra)
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20.    
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TitleAn Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
Author(s)Schlichenmaier, Martin
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1989.
DescriptionXIII, 149 p : online resource
Abstract NoteThis lecture is intended as an introduction to the mathematical concepts of algebraic and analytic geometry. It is addressed primarily to theoretical physicists, in particular those working in string theories. The author gives a very clear exposition of the main theorems, introducing the necessary concepts by lucid examples, and shows how to work with the methods of algebraic geometry. As an example he presents the Krichever-Novikov construction of algebras of Virasaro type. The book will be welcomed by many researchers as an overview of an important branch of mathematics, a collection of useful formulae and an excellent guide to the more extensive mathematical literature
ISBN,Price9783540459347
Keyword(s)1. ALGEBRAIC GEOMETRY 2. ALGEBRAIC TOPOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL PHYSICS 8. QUANTUM FIELD THEORY 9. Theoretical, Mathematical and Computational Physics
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