**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

**Algebraic Groups and Discontinuous Subgroups**

by

**Armand Borel, George D. Mostow**-

**American Mathematical Society**

The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.

(

**10521**views)

**Algebraic geometry and projective differential geometry**

by

**Joseph M. Landsberg**-

**arXiv**

Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.

(

**11463**views)

**Geometry Unbound**

by

**Kiran S. Kedlaya**

This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.

(

**11068**views)

**Lectures on Expansion Techniques In Algebraic Geometry**

by

**S.S. Abhyankar**-

**Tata Institute Of Fundamental Research**

From the table of contents: Meromorphic Curves; G-Adic Expansion and Approximate Roots; Characteristic Sequences of a Meromorphic Curve; The Fundamental Theorem and applications; Irreducibility, Newton's Polygon; The Jacobian Problem.

(

**5628**views)