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11 van Suijlekom, Walter D Noncommutative Geometry and Particle Physics I07338 2015 eBook  
12 De Vylder, F. Etienne Premium Calculation in Insurance I04930 1984 eBook  
13 Jardine, John F Algebraic K-Theory: Connections with Geometry and Topology I03578 1989 eBook  
14 Mayne, D.Q Geometric Methods in System Theory I03294 1973 eBook  
15 Goerss, P.G Algebraic K-Theory and Algebraic Topology I02299 1993 eBook  
16 Schlichenmaier, Martin An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces I02274 1989 eBook  
17 Rivasseau, Vincent Constructive Physics I02124 1995 eBook  
18 Hestenes, D New Foundations for Classical Mechanics I02103 1999 eBook  
19 Lerda, Alberto Anyons I01879 1992 eBook  
20 Byrnes, C.I Geometrical Methods for the Theory of Linear Systems I01677 1980 eBook  
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11.    
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TitleNoncommutative Geometry and Particle Physics
Author(s)van Suijlekom, Walter D
PublicationDordrecht, 1. Imprint: Springer 2. 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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12.     
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TitlePremium Calculation in Insurance
Author(s)De Vylder, F. Etienne;Goovaerts, Marc;Haezendonck, J
PublicationDordrecht, 1. Imprint: Springer 2. 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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13.     
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TitleAlgebraic K-Theory: Connections with Geometry and Topology
Author(s)Jardine, John F;Snaith, V.P
PublicationDordrecht, 1. Imprint: Springer 2. 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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14.     
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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, 1. Imprint: Springer 2. 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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15.     
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TitleAlgebraic K-Theory and Algebraic Topology
Author(s)Goerss, P.G;Jardine, John F
PublicationDordrecht, 1. Imprint: Springer 2. 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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16.     
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TitleAn Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
Author(s)Schlichenmaier, Martin
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. 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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17.     
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TitleConstructive Physics : Results in Field Theory, Statistical Mechanics and Condensed Matter Physics
Author(s)Rivasseau, Vincent
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1995.
DescriptionX, 342 p. 5 illus : online resource
Abstract NoteAddressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations
ISBN,Price9783540492221
Keyword(s)1. ALGEBRAIC GEOMETRY 2. COMPLEX SYSTEMS 3. DIFFERENTIAL GEOMETRY 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. QUANTUM COMPUTERS 8. Quantum Information Technology, Spintronics 9. QUANTUM PHYSICS 10. SPINTRONICS 11. STATISTICAL PHYSICS 12. THERMODYNAMICS
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18.     
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TitleNew Foundations for Classical Mechanics
Author(s)Hestenes, D
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1999.
DescriptionXIV, 706 p : online resource
Abstract Note(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics
ISBN,Price9780306471223
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Astronomy, Observations and Techniques 3. Astronomy???Observations 4. CLASSICAL MECHANICS 5. EBOOK 6. EBOOK - SPRINGER 7. MECHANICS 8. Observations, Astronomical 9. SYSTEM THEORY 10. Systems Theory, Control
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19.     
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TitleAnyons : Quantum Mechanics of Particles with Fractional Statistics
Author(s)Lerda, Alberto
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1992.
DescriptionXI, 140 p : online resource
Abstract NoteParticles with fractional statistics interpolating between bosons and fermions have attracted considerable interest from mathematical physicists. In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall effect, anyonic excitations in films of liquid helium, and high-temrperature superconductivity. Furthermore, they are discussed also in the context of conformal field theories. This book is a systematic and pedagogical introduction that considers the subject of anyons from many different points of view. In particular, the author presents the relation of anyons to braid groups and Chern-Simons field theory and devotes three chapters to physical applications. The book, while being of interest to researchers, primarily addresses advanced students of mathematics and physics
ISBN,Price9783540474661
Keyword(s)1. ALGEBRAIC GEOMETRY 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. QUANTUM FIELD THEORY 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. THERMODYNAMICS
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20.    
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TitleGeometrical Methods for the Theory of Linear Systems : Proceedings of a NATO Advanced Study Institute and AMS Summer Seminar in Applied Mathematics held at Harvard University, Cambridge, Mass., June 18???29, 1979
Author(s)Byrnes, C.I;Martin, C.F
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1980.
DescriptionX, 318 p : online resource
Abstract NoteThe lectures contained in this book were presented at Harvard University in June 1979. The workshop at which they were presented was the third such on algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years after the Ames meeting there was tremendous growth in the applications of algebraic geometry to systems theory and it was becoming clear that much of the algebraic systems theory was very closely related to the geometric systems theory. On this basis we felt that this was the right time to devote a workshop to the applications of algebra and algebraic geometry to linear systems theory. The lectures contained in this volume represent all but one of the tutorial lectures presented at the workshop. The lec?? ture of Professor Murray Wonham is not contained in this volume and we refer the interested to the archival literature. This workshop was jointly sponsored by a grant from Ames Research Center-NASA and a grant from the Advanced Study Institute Program of NATO. We greatly appreciate the financial support rendered by these two organizations. The American Mathematical Society hosted this meeting as part of their Summer Seminars in Applied Mathematics and will publish the companion volume of con?? tributed papers
ISBN,Price9789400990821
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. SYSTEM THEORY 5. Systems Theory, Control
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