This is one of two volumes generated by the March-April 2002 Clay School on Geometry and String Theory at Cambridge, England, the other being Strings and Geometry. At the same time, it represents a sequel to Mirror Symmetry, a product of the first Clay School in 2000. The treatment of physical and mathematical aspects of Dirichlet branes is organized around Kontsevich's homological mirror symmetry conjecture, and the Strominger-Yau-Zaslo conjecture. Among the topics are D-branes and K-theory in two-dimensional topological field theory, open strings and Dirichlet branes, metric aspects of Calabi-Yau manifolds, and the mathematics of homological mirror symmetry. The entire field straddles the fence between theoretical physics and mathematics, and these studies could interest graduate students and researchers in either discipline who are interested in the interface between string theory and algebraic geometry. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)