Helbing, D., University of Stuttgart, Germany
Herrmann, H.J., University of Stuttgart, Germany
Schreckenberg, M., Gerhard-Mercator-Universitat Duisburg, Germany
Wolf, D.E., Gerhard-Mercator-Universitat Duisburg, Germany
(Eds.)
Traffic and Granular Flow '99
Social, Traffic, and Granular Dynamics
2000. X, 500 pp.
3-540-67091-2
"Are there common phenomena and laws in the dynamic behavior of granular materials, traffic, and socio-economic systems?" The answers given at the international workshop "Traffic and Granular Flow '99" are presented in this volume. From a physical standpoint, all these systems can be treated as (self)-driven many-particle systems with strong fluctuations, showing multistability, phase transitions, non-linear waves, etc. The great interest in these systems is due to several unexpected new discoveries and their practical relevance for solving some fundamental problems of today's societies. This includes intelligent measures for traffic flow optimization and methods from "econophysics" for stabilizing (stock) markets.
Fields: General Applications of Mathematics; Automotive and Aerospace Engineering, Transportation; Math. Appl. in Environmental Science
Written for: Researchers and graduate students
Book category: Proceedings
Publication language: English
Engquist, B., Stockholm, Sweden
Schmid, W., Harvard University, Cambridge, MA, USA
(Eds.)
Mathematics Unlimited - 2001 and Beyond
2000. Approx. 800 pp. 120 figs., 40 tabs.
3-540-67099-8
This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the
century, but is also full of remarkable insights into its future development as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to include contributions from other related
sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Bj?rn Engquist, is a world-renowned researcher in computational science and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewise the authors are all foremost mathematicians and scientists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their speciality.
Keywords: mathematics, computational science, future
Contents: From the contents: Antman, S.: Nonlinear Continuum Physics.- Babuska, I./Tinsley Oden, J.:
Computational Mechanics: Where is it Going?- Bailey, D.H./Borwein J.M.: Experimental Mathematics: Recent
Developments and Future Outlook.- Darmon, H.: p-adic L-functions.- Faltings, G.: Diophantine Equations.-
Farin, G.: SHAPE.- Jorgensen, J./Lang, S.: The Heat Kernel all Over the Place.- Kl?ppelberg, C.:
Developments in Insurance Mathematics.- Koblitz, N.: Cryptography.- Marsden, J./Cendra, H./Ratiu, T.:
Geometric Mechanics, Lagrangian Reduction and Nonholonomic Systems.- Roy, M.-F.: Four Problems in Real
Algebraic Geometry.- Serre, D.: Systems of Conservation Laws: A Challenge for the XXIst Century.- Spencer,
J.: Discrete Probability.- van der Geer, G.: Error Correcting Codes and Curves Over Finite Fields.- von Storch,
H./von Storch, J.-S., and M?ller, P.: Noise in Climate Models ... And many more.
Fields: Computational Mathematics and Scientific Computing; Mathematics of Computing;
Mathematical and Computational Methods
Written for: Mathematicians, scientists and science journalists
Book category: Monograph
Publication language: English
Engquist, B., Royal Institute of Technology, Stockholm, Sweden
Schmid, W., Harvard University, Cambridge, MA, USA
(Eds.)
Mathematics Unlimited - 2001 and Beyond
2000. Approx. 800 pp. 120 figs., 40 in color.
3-540-66913-2
This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future development as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to include contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Bjn Engquist, is a world-renowned researcher in computational science and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewise the authors are all foremost mathematicians and scientists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still
choosing their speciality.
Keywords: Mathematics, computational science, future
Contents: From the contents: Antman, S.: Nonlinear Continuum Physics.- Babuska, I./Tinsley Oden, J.: Computational Mechanics: Where is it Going?- Bailey, D.H./Borwein J.M.: Experimental Mathematics: Recent Developments and Future Outlook.- Darmon, H.: p-adic L-functions.- Faltings, G.: Diophantine Equations.- Farin, G.: SHAPE.- Jorgensen, J./Lang, S.: The Heat Kernel all Over the Place.- Kl・pelberg, C.: Developments in Insurance Mathematics.- Koblitz, N.: Cryptography.- Marsden, J./Cendra, H./Ratiu, T.: Geometric Mechanics, Lagrangian Reduction and Nonholonomic Systems.- Roy, M.-F.: Four Problems in Real Algebraic Geometry.- Serre, D.: Systems of Conservation Laws: A Challenge for the XXIst Century.- Spencer, J.: Discrete
Probability.- van der Geer, G.: Error Correcting Codes and Curves Over Finite Fields.- von Storch, H./von Storch, J.-S., and M・ler, P.: Noise in Climate Models ... And many more.
Fields: Mathematics, general; Computational Mathematics and Scientific Computing; Mathematics of Computing
Written for: Mathematicians, scientists and science journalists
Book category: Monograph
Publication language: English
Fadell, E.R., University of Wisconsin-Madison, WI, USA
Husseini, S., University of Wisconsin-Madison, WI, USA
Geometry and Topology of Configuration Spaces
2000. Approx. 375 pp.
3-540-66669-9
The configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres which makes the subject accessible to researchers and graduate students with a minimal background in classical homotopy theory and algebraic topology. The treatment regards the homotopy relations of Yang-Baxter type as being fundamental. It also includes a novel and geometric presentation of the classical pure braid group; the cellular structure of these configuration spaces which leads to a cellular model for the associated based and free loop spaces; the homology and cohomology of based and free loop spaces; and an illustration of how to apply the latter to the study of Hamiltonian systems of k-body type.
Keywords: topology, nonlinear analysis, Yang-Baxter equation, loop spaces, k-body problem
Contents: Part 1: The Homotopy of Configuration Spaces.-Basic Fibrations.-Configuration space of Euclidean Space.-Configuration spaces on spheres.- The two-dimensional case.-Part 2: The cohomology algebra of configuration spaces.-Cellular models.-Cellular chain models.-Part 3: The Homology of Based Loops.-RPT-Constructions.-Cellular chain algebra models.-The Serre spectral sequence.-Computation of the homology of the free loop space.-Ends and Gamma category.-An application to problems of k-body type.
Series: Springer Monographs in Mathematics.
Fields: Algebraic Topology; Global Analysis and Analysis of Manifolds
Written for: researchers and graduate students
Book category: Monograph
Publication language: English
Sexl, R.U.
Urbantke, H.K., University of Vienna, Austria
Relativity, Groups, Particles
2000. Approx. 400 pp. 60 figs.
3-211-83443-5
This textbook attempts to bridge the gap that exists between the two levels on which relativistic symmetry is usually presented - the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory: in both cases, too many other topics are more important and hardly leave time for a deepening of the idea of relativistic symmetry. So after explaining the postulates that lead to the Lorentz transformation and after going through the main points special relativity has to make in classical mechanics and electrodynamics, the authors gradually lead the reader up to a more abstract point of view on relativistic symmetry - always illustrating it by physical examples - until finally motivating and developing Wigner's classification of the unitary irreducible representations of the
inhomogeneous Lorentz group. Numerous historical and mathematical asides contribute to conceptual clarification.
Fields: Gravitation, Relativity, Cosmology; Accelerator Physics Synchrotrons;Mathematical Physics
Written for: Students, teachers, researchers
Book category: Graduate Textbook
Publication language: English