do Ros io Grossinho, M. / Ramos, M. / Rebelo, C. / Sanchez, L.,
Nonlinear Analysis and Differential Equations
PNLDE Progress in Non-Linear Differential Equations
Approx. 456 pages. Hardcover
ISBN 0-8176-4188-2
English
Due in October 2000
This work, consisting of expository articles as well as research papers, highlights recent developments in
nonlinear analysis and differential equations.
The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed. Several topics in ordinary differential equations and partial differential equations are the focus of key articles,
including:
* bifurcation in variational inequalities (K. Schmitt)
* a geometric approach to dynamical systems in the plane via twist theorems (R. Ortega)
* asymptotic behavior and periodic solutions for Navier--Stokes equations (E. Feireisl)
* mechanics on Riemannian manifolds (W. Oliva)
* techniques of lower and upper solutions for ODEs (C. De Coster and P. Habets)
A number of related subjects dealing with properties of solutions, e.g., bifurcations, symmetries, nonlinear oscillations, are treated in other articles.
This volume reflects rich and varied fields of research and will be a useful resource for mathematicians and graduate students in the ODE and PDE community.
Birkenmeier, G.F., Park, J.K., Park, Y.S., (Ed.)
International Symposium on Ring Theory
Trends in Mathematics
Approx. 400 pages. hardcover
ISBN 0-8176-4158-0
English
Due in November 2000
Ring Theory provides the algebraic underpinnings for many areas of mathematics, computer science, and
physics.
For example, ring theory appears in functional analysis, algebraic topology, algebraic number theory, coding theory, and in the study of quantum theory. Ring theoretic methods were used in the recent solution of Fermat's Last Theorem.
This volume consists of a collection of invited research papers, many presented at the 3rd Korea-China-Japan International Symposium on Ring Theory held jointly in Korea with the 2nd Korea-Japan Ring Theory Seminar. This year's conference brings together mathematicians from countries spanning Asia, Europe, and North America, and affords an opportunity for the discussion of current research ideas and
trends from an East-West perspective. The articles examine wide-ranging developments and methodologies in various areas including, Classical Ring Theory, Representation Theory, Module Theory, Abelian Group
Theory, Lie Algebras, Hopf Algebras, and Quantum Groups. Also included will be a section devoted to open problems to motivate further research.
This informative volume should be of interest to a large audience of researchers and graduate students in the above-mentioned fields.
Hida, T. , Nagoya University, Nagoya,/Karandikar, R. L., Indian Statistical Institute, New Delhi, India,
Kunita, H., Kyushu University,Kyushu, / Rajput, B. S., University of Tennessee, Knoxville, USA, (Eds.)
Stochastics in Finite and Infinite Dimensions In Honor of Gopinath Kallianpur
Trends in Mathematics
456 pages. Hardcover
ISBN 0-8176-4137-8
English
Due in November 2000
During the last fifty years, Gopinath Kallianpur has made extensive and significant contributions to diverse areas of probability and statistics, including stochastic finance, Fisher consistent estimation, non-linear prediction and filtering problems, zero-one laws for Gaussian processes and reproducing kernel Hilbert
space theory, and stochastic differential equations in infinite dimensions.
To honor Kallianpur's pioneering work and scholarly achievements, a number of leading experts have written research articles highlighting progress and new directions of research in these and related areas. This
commemorative volume, dedicated to Kallianpur on the occasion of his seventy-fifth birthday, will pay tribute to his multi-faceted achievements and to the deep insight and inspiration he has so graciously offered his students and colleagues throughout his career.
Contributors to the volume:
S. Aida, N. Asai, K. B. Athreya, R. N. Bhattacharya, A. Budhiraja, P. S. Chakraborty, P. Del Moral, R. Elliott, L.
Gawarecki, D. Goswami, Y. Hu, J. Jacod, G. W. Johnson, L. Johnson, T. Koski, N. V. Krylov, I. Kubo, H.-H. Kuo, T. G. Kurtz, H. J. Kushner, V. Mandrekar, B. Margolius, R. Mikulevicius, I. Mitoma, H. Nagai, Y. Ogura, K. R. Parthasarathy, V. Perez-Abreu, E. Platen, B. V. Rao, B. Rozovskii, I. Shigekawa, K. B. Sinha, P. Sundar, M. Tomisaki, M. Tsuchiya, C. Tudor, W. A. Woycynski, J. Xiong
Scholz, E., Universitat-GH Wuppertal
Hermann Weyl's Raum
-Zeit- Materie and a General Introduction to His Scientific Work
DMV Seminar 30
Ca. 416 pages. Softcover
ISBN 3-7643-6476-9
English / German
Due in November
Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and
philosophy have been increasing since the middle 1980s, triggered by different activities at the occasion of the
centenary of his birth in 1985, and are far from being exhausted.
The present book takes Weyl's Raum - Zeit- Materie (Space -Time -Matter) as center of concentration and starting field for a broader look at his work. The contributions in the first part of this volume discuss Weyl's deep involvement in relativity, cosmology and matter theories between the classical unified field theories
and quantum physics from the perspective of a creative mind struggling against theories of nature restricted by the view of classical determinism.
In the second part of this volume, a broad and detailed introduction is given to Weyl's work in the mathematical sciences in general and in philosophy. It covers the whole range of Weyl's mathematical and physical interests: real analysis, complex function theory and Riemann surfaces, elementary ergodic theory, foundations of mathematics, differential geometry, general relativity, Lie groups, quantum mechanics, and number theory.
Borre, K., Aalborg University, Aalborg, Denmark
Plane Networks and their Applications
184 pages. Hardcover
ISBN 0-8176-4193-9
English
Due in December 2000
This concise, fast-paced text introduces the concepts and applications behind plane networks.
Currently, there is nothing in book form dealing with the topics covered in this work. The presentation unfolds in a systematic, user-friendly style and goes from the basics to cutting-edge research.
Key features:
* presentation of the basics required to handle the book: fundamental material from linear algebra and differential equations * an examination of classical mathematical tools for analyzing discrete networks is
followed by a new well-developed theory, which is the continuous analogue of a discrete network
* transition from the discrete to the continuous case is described via finite elements: Ch. 3 involves an analysis of linear operators, variational calculus, boundary value problems for pdes, and Green's
functions; Green's functions are the continuous analogue of the discrete error covariance functions, and form the basis for all types of error prediction * numerous examples and illustrations * techniques are applied to leveling and other observation types of networks in one and two dimensions * three different applications of the continuous theory * practical problems, supported by MATLAB files, underscore the continuous
theory; additional material can be downloaded from the author's website at www.kom.auc.dk/~borre/network
Narasimhan, R., University of Chicago, Chicago, USA,
Nievergelt, Y., Eastern Washington University, Cheney, USA
Complex Analysis in One Variable
2nd edition
Approx. 400 pages. Hardcover
ISBN 3-7643-4164-5
English
Due in January 2001
This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches
of mathematics.
Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the
ring of holomorphic functions on a domain in C is studied.
Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic
functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions.
New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other
branches of mathematics, including advanced calculus, topology, and real applications