OF THE EUROPEAN MATHEMATICAL SOCIETY

Book review
that they posed in their lectures and were brilliantly
solved by their students.
4. The book provides new simple proofs of important
results on optimization theory (such as the Pontryagin
principle in appendix G) and also results on
other mathematical fi elds that can be derived from
optimization theory (such as the fundamental theorem
of algebra in chapter 2). Most formal proofs are
confi ned to the last two appendices, which are written
in a fully analytic style.
This book can be used for different courses on continuous
optimization, from introductory to advanced level,
for any fi eld for which optimization is relevant: mathematics,
engineering, economics, physics, etc. The introduction
of each chapter describes a “royal road” containing
the essential tools for problem solving. Examples
of possible courses based on materials contained in this
textbook are:
Basic optimization course: chapters 1, 2, 3, 4, and appendix
D (Crash course on problem solving).
Intermediate optimization course: chapters 5, 6, 7, 10
and appendices E and F.
Advanced-course on the applications of optimization:
chapters 8 and 9.
Advanced-course on dynamic optimization: chapters 11,
12 and Appendix G.
Editor-in-Chief
Alain Connes
Collège de France,
Paris, France
New journal from the
Journal of Noncommutative Geometry
The website of the fi rst author (people.few.eur.nl/
brinkhuis) contains references to implementations of
optimization algorithms and a list of corrections for the
few shortcomings that are unavoidable in a fi rst edition,
despite its careful production. In my opinion, this stimulating
textbook will be for the teaching of optimization
what Spivak’s “Calculus” was for the teaching of that
subject (and even real analysis) in the ’70s.
Miguel A. Goberna [mgoberna@ua.
es] received his PhD in 1979 from the
Universidad de Valencia and he is currently
a professor at the Universidad
de Alicante (Spain). He has published
more than sixty research papers on optimization
and related topics (inequality
systems, convexity and set-valued analysis) and several
books, such as Linear Semi-Infi nite Optimization, J. Wiley,
1998 (with M.A. López), Semi-Infi nite Programming:
Recent Advances, Kluwer, 2001 (with M.A. López, Eds.),
and Linear Optimization, McGraw-Hill, 2004 (in Spanish,
with V. Jornet and R. Puente).
The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects. It is
devoted to publication of research articles which represent major advances in the area of noncommutative
geometry and its applications to other fields of mathematics and theoretical physics.
Editors:
Paul F. Baum, The Pennsylvania State University, USA
Jean Bellissard, Georgia Institute of Technology, USA
Alan Carey, Australian National University, Australia
Ali Chamseddine, American University of Beirut, Lebanon
Joachim Cuntz, University of Münster, Germany
Michel Dubois-Violette, Université Paris XI, Francer
Israel M. Gelfand, Rutgers University, USA
Alexander Goncharov, Brown University, USA
Nigel Higson, The Pennsylvania State University, USA
Vaughan F. R. Jones, University of California at Berkeley, USA
Mikhail Kapranov, Yale University,USA
Gennadi Kasparov, Vanderbilt University, USA
Masoud Khalkhali, The University of Western Ontario, Canada
Maxim Kontsevich, IHÉS, France
Dirk Kreimer, IHÉS, France, and Boston University, USA
Subscription information
Volume 1 (2007), 4 issues, approximately 400 pages. 17 x 24 cm.
198 Euro (suggested retail price) plus 20 Euro for postage and handling, including online edition.
Print ISSN: 1661-6952 / Online ISSN: 1661-6960 / www.ems-ph.org/journals/jncg/jncg.php
European Mathematical Society Publishing House
Seminar for Applied Mathematics, ETH-Zentrum FLI C4
Fliederstrasse 23
CH-8092 Zürich, Switzerland
Giovanni Landi, University of Trieste, Italy
Jean-Louis Loday, IRMA, Strasbourg, France
Yuri Manin, Max Planck Institute for Mathematics, Germany
Matilde Marcolli, Max Planck Institute for Mathematics, Germany
Henri Moscovici, The Ohio State University, USA
Ryszard Nest, University of Copenhagen, Denmark
Marc A. Rieffel, University of California at Berkeley, USA
John Roe, The Pennsylvania State University, USA
Albert Schwarz, University of California, Davis, USA
Georges Skandalis, Université Paris VII Denis Diderot, France
Boris Tsygan, Northwestern University,USA
Michel Van den Bergh, University of Hasselt, Belgium;
Dan-Virgil Voiculescu, University of California at Berkeley, USA
Raimar Wulkenhaar, University of Münster, Germany
Guoliang Yu, Vanderbilt University, USA
subscriptions@ems-ph.org
www.ems-ph.org
42 EMS Newsletter September 2006