Handbook of Geometric Analysis, No. 3 (volume 14 of the Advanced Lectures in Mathematics series)
Geometric Analysis combines differential equations and differential geometry. An important aspect is to solve geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Ampère equation. Applications to geometric problems have also motivated new methods and techniques in differential equations.
Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications.
This student book offers a balanced approach to mathematics, organized into 11 units. Printed in full colour, in hardcover format, its highlights include: A consistent lesson model, always clustered around a Big Idea Practice that is integrated with each lesson Cumulative reviews Comprehensive illustrated glossary Accessible reading level Open, appealing design
The Garden of the Sphinx: 150 Challenging and Instructive Puzzles
These mathematical puzzles have appeared in the newspaper Le Monde during the past few years. A number of readers have responded to the challenge by offering not only original solutions and modes of attack but also by stating new problems related to those proposed.
(12 lectures, 30 minutes/lecture)
