ISSN 0002-9920 of the American Mathematical Society February 2001 Volume 48, Number 2 Mathematics for Teaching page 168 0 2 0 1 1 Honeycombs and 2 Sums of Hermitian 2 0 Matrices page 175 -3,-3 0 Lawrence Meeting -2,-2,-2 page 276 Las Vegas Meeting page 278 2 2 Hoboken Meeting page 280 -3 -2 -1 -4 -1,-1 2 0 2 0 -4 -2 0 -3 -2 -1 Honeycombs and Tensor Products (see page 186) The ' frl~ te igra·H~n ofrMatfT Type~ett ·rng and-CoFripufer Algebra 'I '\':. l_t •\ \ ,J_! \. Sci e The Gold Standard for Mathematical Publishing and the Easiest-to-Use Computer Algebra System Scientific WorkPlace makes writing and doing mathematics easier than you ever imagined possible. Because Scientific WorkPlace thinks like you do, you can compose and edit your documents directly on the screen, without being forced to think in a programming language. A simple click of a button allows you to typeset your document in lbTE)C . 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Email: info@mackichan .com • Toll Free: 877-724-9673 • Fax: 206-780-2857 MacKichan Software, Inc. • 600 Ericksen Ave. NE, Suite 300 • Bainbridge Island, WA 98110 www.mackichan.com/notices Tools for Scientific Creativity Since /98/ AMERICAN MATHEMATICAL SOCIETY New Titles from the AMS Laminations and Foliations in Geometry, Supplementary Readmg Topology, and Dynamics Partial Differential Equations in Several Mikhail Lyubich, John W. Milnor, and Yair N. Minsky, SUNY at Complex Variables Stony Brook, NY, Editors So-Chin Chen, National Tsing-Hua University, Hsinchu, Taiwan, This volume is based on a conference held at SUNY, Stony Brook and Mei-Chi Shaw, University of Notre Dame, IN (NY). The concepts of laminations and foliations appear in a diverse This book is intended as both an introductory text and a reference number of fields, such as topology, geometry, analytic differential book for those interested in studying several complex variables in the equations, holomorphic dynamics, and renormalization theory. context of partial differential equations. In the last few decades, signif­ Although these areas have developed deep relations, each has devel­ icant progress was made in the study of Cauchy-Riemann and oped distinct research fields with little interaction among practitioners. tangential Cauchy-Riemann operators; this progress greatly influ­ The conference brought together the diverse points of view of enced the development of PDEs and several complex variables. After researchers from different areas. This book includes surveys and the background material in complex analysis is developed in research papers reflecting the broad spectrum of themes presented Chapters 1 through 3, the next three chapters are devoted to the at the event. solvability and regularity of the Cauchy-Riemann equations using Contemporary Mathematics, Volume 269; 2001 ; approximately 232 Hilbert space techniques. The second part of the book gives a pages; Softcover; ISBN 0-8218-1985-2; List $59; Individual member $35; comprehensive study of the tangential Cauchy-Riemann equations, Order code CONM/269NT102 another important class of equations in several complex variables first studied by Lewy. Embeddability of abstract CR structures is Recommended Text discussed in detail here for the first time. Algebraic Geometry 2 This fairly self-contained book provides a much-needed introductory Sheaves and Cohomology text. It also provides a rich source of information to experts. Kenji Ueno, Kyoto University, Japan Titles in this series are copublished with International Press, Cambridge, MA. Modern algebraic geometry is built upon two fundamental notions: AMsnP Studies In Advanced Mathematics, Volume 19; 2001 ; 380 schemes and sheaves. The theory of schemes was explained in pages; Hardcover; ISBN D-8218-1062 -6; List $49; All AMS members $39; Algebraic Geometry 1: From Algebraic Varieties to Schemes (see Order code AMSIP/19NT102 Volume 185 in the same series, Translations of Mathematical Monographs). In the present book, Ueno turns to the theory of Topics in Functional Differential and sheaves and their cohomology. Loosely speaking, a sheaf is a way of Difference Equations keeping track of local information defined on a topological space, Teresa Faria, Universidade de Lisboa, Portugal, and such as the local holomorphic functions on a complex manifold or the Pedro Freitas, lnstituto Superior Tecnico, Lisboa, Portugal, local sections of a vector bundle. To study schemes, it is useful to Editors study the sheaves defined on them, especially the coherent and This volume contains papers written by participants at the quasicoherent sheaves. The primary tool in understanding sheaves is Conference on Functional Differential and Difference Equations held cohomology. For example, in studying ampleness, it is frequently a statement about its at the lnstituto Superior Tecnico in Lisbon, Portugal. The conference useful to translate a property of sheaves into brought together mathematicians working in a wide range of topics, cohomology. including qualitative properties of solutions, bifurcation and stability The text covers the important topics of sheaf theory, including types theory, oscillatory behavior, control theory and feedback systems, of sheaves and the fundamental operations on them, such as ... biological models, state-dependent delay equations, Lyapunov • coherent and quasicoherent sheaves. methods, etc. Articles are written by leading experts in the field. A • proper and projective morphisms. comprehensive overview is given of these active areas of research. • ~irect and inverse images. • Cech cohomology. Fields Institute Communications, Volume 29; 2001 ; 378 pages; Hardcover; ISBN 0-8218-2701-4; List $11 0; Individual member $66; Order For the mathematician unfamiliar with the language of schemes and code FIC/29NT1 02 sheaves, algebraic geometry can seem distant. However, Ueno makes the topic seem natural through his concise style and his Operator Theoretical Methods insightful explanations. He explains why things are done this way and A. Gheondea, R. N. Gologan, and D. Timotin, Romanian supplements his explanations with illuminating examples. As a result, Academy, Bucharest, Editors he is able to make algebraic geometry very accessible to a wide A publication of the Theta Foundation. audience of non-specialists. This volume contains carefully selected contributions by participants The book contains numerous problems and exercises with solutions. at the Seventeenth International Conference on Operator Theory held It would be an excellent text for the second part of a course in alge­ braic geometry. at the University of Timi~ara (Romania). A large variety of topics are covered, including single operator theory, C* -algebras, spectral Translations of Mathematical Monographs (lwanami Series in Modern theory, special classes of concrete operators, and holomorphic oper­ Mathematics), Volume 197; 2001 ; approximately 200 pages; Softcover; ator functions. The book also includes applications in other areas of ISBN 0-8218·1357 -9; List $29; All AMS members $23; Order code mathematics and science. MMON0/197NT1 02 Distributed worldwide, except in Romania, by the AMS. International Book Series of Mathematical Texts; 2000; 415 pages; Hardcover; ISBN 973-99097-2-8; List $38; All AMS members $30; Order code THETA/1NT102 ~CJN'oEO \~ AMS AMERICAN MATHEMATICAL SocmTY All prices subject to change. Charges for delivery are $3.00 per order. For optional air delivery outside of the continental U. S., please include $6.50 per item. Prepayment required. Order from: American Mathematical Society, P. 0. Box 845904, Boston, MA 02284-5904, USA. For credit card orders, fax 1-401-455-4046 or call toll free 1-800-321-4AMS (4267) in the U. S. and Canada, 1-401-455-4000 worldwide. Or place your order through the AMS Bookstore at www.ams.org/bookstore. Residents of Canada, please include 7%GS T. Electrodynamics A Modem Geometric Approach W.E. Baylis, University of Windsor, ON, Canada "[The book} has a nice blend of mathematical physics, fundamentals of electromagnetic theory and practical applications ... It is extremely well written and contains numerous exercises and problems to help the reader gain familiarity with new concepts. Throughout ... the author emphasizes the conceptual framework of electromagnet­ ism so that the reader does not get lost in details. Such a Relaunch! style is very valuable in a physics textbook ... The book simultaneously teaches the reader electromagnetic theory Progress In Mathematical Physics and more advanced mathematical concepts in a very Progress in Mathematical Physics (formerly Progress in Physics) is a book series encompassing all areas of concrete physical context ... Essentially self-contained.. mathematical physics. It is intended for mathematicians, physicists, and other scientists, as well as graduate it will serve as an excellent textbook for graduate level students in the above related areas. This distinguished collection of books includes