by Ferdinand E Banks (Uppsala University, Sweden)
GLOBAL FINANCE AND FINANCIAL MARKETS
A Modern Introduction
This is an elementary, up-to-date text and reference book in global finance. It has been especially designed for beginning students in economics and finance, and also for self-study by anyone with a knowledge of secondary school algebra and an interest in finance and financial markets.
The subjects taken up in some details are stocks (shares), bonds, interest rates and derivatives, particularly futures, options, and swaps. There are also chapters on exchange rates and banking, and readers are provided with an elementary introduction to risk and uncertainty. The book
is also an easily read supplement to more technical presentations, in that it introduces all categories of readers to real world financial markets.
Readership: Students doing a basic or intermediate course, or self-study, in finance.
230pp (approx.)
Pub. date: Scheduled Fall 2000
ISBN 981-02-4326-X
ISBN 981-02-4327-8(pbk)
Anderson, I., University of Glasgow, UK
A First Course in Discrete Mathematics
2001. VIII, 200 pp. 63 figs. Softcover
1-85233-236-0
Drawing on many years' experience of teaching discrete mathematics to students of all levels, the
author introduces the various aspects of discrete mathematicsincluding enumeration, graph theory
and configurations or arrangements. Startingoff with an introduction to counting and counting
problems, the text proceeds tointroduce the basic ideas of graph theory with particular emphasis on trees and planar graphs. The inclusion-exclusion principle is described and followed by a chapter on partitions of sets which leads to a study of Stirling and Bell numbers. Hamiltonian cycles and Eulerian circuits in graphs are described, Latinsquares are defined and Hall's theorem is proved. The book concludes with chapters on the constructions of schedules and a brief introduction to block designs. Each chapter is supported by a number of examples, with straightforward applications of ideas alongside more challenging problems.
Contents: 1. Counting and Binomial Coefficients.- 2. Recurrence.- 3. Introduction to Graphs.- 4.
Travelling Round a Graph.- 5. Partitions and Colourings.- 6. The Inclusion-Exclusion Principle.- 7.
Latin Squares and Hall's Theorem.- 8. Schedules and One-Factorisations.- 9. Introduction to
Designs.- Appendix.- Solutions.- Further Reading.- Bibliography.
Series: Springer Undergraduate Mathematics Series.
Armitage, D.H., The Queen's University of Belfast, UK
Gardiner, S.J., University College Dublin, IrelandClassical Potential Theory
2001. XVI, 333 pp. Hardcover
1-85233-618-8
From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations. The first six chapters deal concretely with the basic theory, and include exercises. The final three chapters are more advanced and treat topological ideas specifically created for potential theory, such as the fine topology, the Martin boundary and minimal thinness.
The presentation is largely self-contained and is accessible to graduate students, the only prerequisites being a reasonable grounding in analysis and several variables calculus, and a first course in measure theory. The book will prove an essential reference to all those with an interest in potential theory and its applications.
Contents: Notation and Terminology.- 1. Harmonic Functions.- 2. Harmonic Polynomials.- 3. Subharmonic Functions.- 4. Potentials.- 5. Polar Sets and Capacity.- 6. The Dirichlet Problem.- 7. The Fine Topology.- 8. The Martin Boundary.- 9. Boundary Limits.- Appendix.- Historical Notes.- References.- Symbol Index.- Index.
Series: Springer Monographs in Mathematics.
Bandini, S., University of Milan, Italy
Worsch, T., University of Karlsruhe, Germany
(Eds.)Theory and Practical Issues on Cellular Automata
Proceedings of the Fourth International Conference on Cellular Automata for
Research and Industry, Karlsruhe, 4-6 October 2000
2001. X, 198 pp. Softcover
1-85233-388-X
This volume contains the papers presented at ACRI 2000, the 4th International Conference on Cellular Automata for Research and Industry, held at the University of Karlsruhe (Germany), 4-6 October 2000. The continuation of and growing interest in research on Cellular Automata models for real world phenomena indicates the feasibility of this approach. Theoretical and Practical Issues on Cellular Automata brings together researchers not only from different application areas but also from theory. This is reflected by the list of contributions, which include theoretical papers and even papers which certainly belong to the intersection ofseveral fields. A quick glance at the table of contents of this book shows that results come from such different areas as biology, economics, physics, traffic flow and urban development.
Fields: Artificial Intelligence; Computation by Abstract Devices; Computer Appl. in Life Sciences
Written for: Researchers, postgraduates, R&D industrial divisions, scientific institutions
Book category: Proceedings
Publication language: English
Greiner, W., University of Frankfurt/Main, Germany
Quantum Mechanics. An Introduction
4th ed. 2000. XIX, 485 pp. 57 figs., with 87 worked examples and problems. Softcover
3-540-67458-6
Quantum Mechanics - An Introduction lays the foundations for the rest ofthe course on advanced
quantum mechanics and field theory. Starting from black-body radiation, the photoelectric effect, and wave-particle duality, Greiner goes on to discuss the uncertainty relations, spin, and many-body systems; he includes applications to the hydrogen atom and the Stern-Gerlach andEinstein-de Haas experiments. The mathematics of representation theory, S matrices, perturbation theory, eigenvalue problems, and hypergeometric differential equations are presented in detail, with 84 fully and carefully worked examples and exercises to consolidate the material. This fourth edition has been revised and makes the book up-to-date again.
Keywords: Quantum Physics
Fields: Quantum Physics
Written for: US: Advanced undergraduates + graduates (physics) RoW: Undergraduates
3rd year (physics)
Book category: Graduate Textbook
Publication language: English
Spitzer, F., Cornell University, Ithaca, NY, USA
Principles of Random Walk
2nd ed. 1976. 2nd printing 2001. Approx. 410 pp. Softcover
0-387-95154-7
This book is devoted exclusively to a very special class of random processes, namely to random walk on the lattice points of ordinary Euclidean space. The author considered this high degree of specialization worth while, because of thetheory of such random walks is far more complete than that of any larger class of Markov chains. The book will present no technical difficulties to the readerswith some solid experience in analysis in two or three of the following areas: probability theory, real variables and measure, analytic functions, Fourier analysis, differential and integral operators. There are almost 100 pages of examples and problems.
Contents: Classification of Random Walk.- Harmonic Analysis.- Two-dimensional Recurrent Random Walk.- Random Walk on a Half-Line.- Random Walk on a Interval.- TransientRandom Walk.- Recurrent Random Walk.
Series: Graduate Texts in Mathematics.VOL. 34
Publication date: April 2001
Fields: Probability and its Applications
Written for: Graduate mathematics students
Book category: Graduate Textbook
Publication language: English
Kawohl, B./ Pironneau, O. / Tartar, L./ Zolesio, J.-P./ Cellina, A. / Ornelas, A. (Eds.)
Optimal Shape Design
Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal),
June 1-6, 1998
2000. IX, 388 pp. Softcover
3-540-67971-5
Optimal Shape Design is concerned with the optimization of some performance criterion dependent
(besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape ofa region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possessesnontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.
Keywords: optimization, homogenization, numerical methods . Mathematics Subject Classification : 49K20, 65K10, 65N55
Contents: B. Kawohl, Some nonconvex shape optimization problems.- L. Tartar, An introduction to the homogenization method of optimal design.- J.-P. Zolesio, Shape analysis and weak flow.- O. Pironneau, Optimal shape design by local boundary variations.
Series: Lecture Notes in Mathematics.VOL. 1740