Memorial Article

André Lichnerowicz (1915--1998)
Marcel Berger, Jean-Pierre Bourguignon, Yvonne Choquet-Bruhat, Charles-Michel Marle, and Andr\'e Revuz

Communications

A Proof of the Full Shimura-Taniyama-Weil Conjecture Is Announced
Henri Darmon--Research News

The LaTeX Graphics Companion and TeX Unbound---A Review of Two Books
Reviewed by Bill Casselman

Cryptonomicon
Reviewed by Alex Kasman

From the AMS

Honorary Members of the AMS

Statistics on Women Mathematicians Compiled by the AMS

Feature Articles

article graphic

Instabilities in Fluid Motion
Susan Friedlander and Victor Yudovich
Fluid flow is governed by nonlinear equations, and as the speed of a fluid increases, stable flow changes to turbulent flow. This article discusses some historical and recent research in understanding how instability occurs.


article graphic

Variations on the de Rham Complex
Michael Eastwood
Familiar identities with grad, div, and curl may be framed as the de Rham complex on an open set in Euclidean space. The corresponding complex on the three-sphere, when considered in a vector form, leads naturally to the Bernstein-Gelfand-Gelfand complex in representation theory.


The Teaching and Learning of Mathematics at the University Level: Crucial Questions for Contemporary Research in Education
Michèle Artigue
Writing from the point of view of her own European and French culture, the author describes benefits and also limitations of theoretical and experimental research in mathematics education at the university level. She points also to questions that need to be addressed in the future.

Departments

Forum
"Missing Opportunities"

At the Joint Meetings
"International Cooperation / Research News / Smithsonian Exhibits" - Allyn Jackson

Commentary
"Opinion and Responsibility" - Mary Beth Ruskai, Associate Editor
Letters to the Editor

Mathematics People
Parisi Receives Dirac Medal / Trjitzinsky Memorial Awards presented / China and Russia Tie for First in International Mathematical Olympiad / Deaths

Mathematics Opportunities
Summer 2000 Research for U.S. Graduate Students in Science and Engineering / NRC-Ford Foundation Postdoctoral Fellowships for Minorities / National Research Council Research Associateship Programs / EDGE Summer Program / News from the Institute for Pure and Applied Mathematics

For Your Information
MathSciNet Version 5 Released / BMS Report on Institutes / AMS Report on Doctoral Mathematics Departments / Correction to Article on Alternating Sign Matrix Conjecture

Reference and Book List

Mathematics Calendar

New Publications Offered by the AMS

Publications of Continuing Interest

Meetings and Conferences

Meetings and Conferences Table of Contents

AAAS Meeting to Offer Strong Mathematics Program

The 1999 Notices Index

Presenters of Papers--Salt Lake City

Program of the Sessions--Salt Lake City

Presenters of Papers--Providence

Program of the Sessions--Providence

Presenters of Papers--Austin

Program of the Sessions--Austin

Presenters of Papers--Charlotte

Program of the Sessions--Charlotte