**Geometry of the Quintic**

by Jerry Shurman

**Publisher**: Wiley-Interscience 1997**ISBN/ASIN**: 0471130176**ISBN-13**: 9780471130178**Number of pages**: 208

**Description**:

The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem -- solving the quintic. This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Lectures on Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**5620**views)

**Class Field Theory**

by

**J. S. Milne**

Class field theory describes the abelian extensions of a local or global field in terms of the arithmetic of the field itself. These notes contain an exposition of abelian class field theory using the algebraic/cohomological approach.

(

**6590**views)

**Galois Theory: Lectures Delivered at the University of Notre Dame**

by

**Emil Artin**-

**University of Notre Dame**

The book deals with linear algebra, including fields, vector spaces, homogeneous linear equations, and determinants, extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, and more.

(

**1376**views)

**Fields and Galois Theory**

by

**J. S. Milne**

A concise treatment of Galois theory and the theory of fields, including transcendence degrees and infinite Galois extensions. Contents: Basic definitions and results; Splitting fields; The fundamental theorem of Galois theory; etc.

(

**7130**views)