Boos, J.

Classical and Modern Methods in Summability.

(Oxford Mathematical Monographs, Series)
Summability is a mathematical topic with a long tradition and with many applications in, e.g.,
function theory, number theory, and stochastics.
The present book aims to introduce the reader to the wide field of summability and its applications,
and provides an overview of the most important classical and modern methods used. Lecturers,
graduate students, and researchers working in summability and related topics will find this
a useful introduction and reference work.
Dec. 2000 592 pp.
(Oxford) 0-19-850165-X

Giovannini, A. (ed. )

The Legacy of Leon van Hove.

(World Scientific Series in 20th Century Physics, Series)
This important volume describes the wide-ranging scientific activities of Leon van Hove,
through commentaries by his colleagues and a selection of his most influential papers and documents.
The reprinted papers are grouped by topic, starting from his early work in mathematics and
theoretical and statistical physics, up to his very last contribution in elementary particle
physics and multiparticle dynamics. Van Hove's career as teacher, director and science advisor
in many European institutions is presented in sketches by friends and coworkers. A selection of
his speeches and documented thoughts on science completes the volume.
Nov. 2000 600 pp.
(World Sci.) 981-02-4330-8

Hsiung, C. -C. (ed. )

Selected Papers of Chuan-Chih Hsiung.

This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician
in differential geometry and founder and editor-in-chief of a unique international journal in this field,
the Journal of Differential Geometry. During the period of 1935-1943, Prof Hsiung was in China
working on projective differential geometry under Prof Buchin Su. In 1946, he went to the United States,
where he gradually shifted to global problems. Altogether Prof Hsiung has published about
100 research papers, from which he has selected 64 (in chronological order) for this volume.
Sep. 2000 650 pp.
(World Sci.) 981-02-4323-5

Pier, J. -P. :

Development of Mathenatics 1950-2000.

The past fifty years have witnessed a dramatic growth of mathematical research, the evolution of
ideas and new branches. It has become virtually impossible for any mathematician to keep track of
all these developments even at a superficial level. This unique book not only attempts a history
of contemporary mathematics, but also provides some authoritative guidance through the maze of
mathematical theories. Neither encyclopaedic nor superficial, it addresses a rich range of topics
from the personal viewpoint of more than forty mathematicians, most of them active researchers
and renowned specialists in their fields.
June 2000 1300 pp.
(Birkhauser) 3-7643-6280-4

Tondeur, P. (ed. ):

Collected Papers of K. T. Chen.

(Contemporary Matheamticians, Series)
Kuo-Tsai Chen (1923-1987) is best known to the mathematics community for his work on iterated
integrals and power series connections in conjunction with his research on the cohomology of
loop spaces. His work is intimately related to the theory of minimal models as developed by
Dennis Sullivan, whose own work was in part inspired by the research of Chen. The present volume
is a comprehensive collection of Chen痴 mathematical publications preceded by an article,
The Life and Work of Kuo-Tsai Chen?, placing his work and research interest into their proper
context and demonstrating the power and scope of his influence.
Oct. 2000 735 pp.
(Birkhauser) 3-7643-4005-3

Coates, J. /Sujatha, R.

Galois Cohomology of Elliptic Curves.

(Tata Institute of Fundamental Research, Vol. 2)
The book discusses some aspects of the Iwasawa theory of elliptic curves over algebraic fields.
Let E be an elliptic curve defined over an algebraic number field F. The fundamental idea of
the Iwasawa theory is to study deep arithmetic questions about E/F, via the study of coarser
questions about the arithmetic of E over various infinite extensions of F. A precise
formulation of this theory exists only when the infinite extension is a p-adic Lie extension
for some fixed prime number p. It provides the only general method known at present for
studying exact arithmetic formulae such as the Birch and Swinnerton-Dyer conjecture for
elliptic curves.
Mar. 2000 100 pp.
(A.M.S.) 81-7319-293-6

Mukherjea, A.

Topics in Products of Random Matrices.

(Tata Institute of Fundamental Research, Vol. 3)
This book contains detailed results on convergence in distribution for products of independent
and identically distributed random matrices and also for their normalized versions.
Conditions for the limit distribution to be absolutely continuous or continuous singular
are discussed and the limit distributions have also been computed for various specific examples.
Infinite dimensional matrices are also considered, with reference to random motions of particles.
Semigroup methods have been highlighted throughout the notes. Care has been taken to make
the presentation readily accessible to graduate students and beginners in research.
Most of the results presented in the notes have not previously appeared in book form.
Mar. 2000 121 pp.
(A.M.S.) 81-7319-297-9