Modular Functions and Modular Forms
by J. S. Milne
2009
Number of pages: 129
Description:
This is an introduction to the arithmetic theory of modular functions and modular forms, with a greater emphasis on the geometry than most accounts. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.
Download or read it online for free here:
Download link
(960KB, PDF)
Similar books

by Herbert Clemens, János Kollár - Cambridge University Press
The 1992/93 year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.
(13000 views)

by J.S. Milne
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
(14357 views)

by Gwyn Bellamy, et al. - Cambridge University Press
This book provides an introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.
(4631 views)

by Yuriy Drozd
From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.
(11085 views)