This book grew out of three series of lectures given at the
summer school on "Modular Forms and their Applications" at the
Sophus Lie Conference Center in Nordfjordeid in June 2004. The
first series treats the classical one-variable theory of elliptic
modular forms. The second series presents the theory of Hilbert
modular forms in two variables and Hilbert modular surfaces. The
third series gives an introduction to Siegel modular forms and
discusses a conjecture by Harder. It also contains Harder's
original manuscript with the conjecture.
Each part treats a number of beautiful applications.
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