**Abstract Algebra: The Basic Graduate Year**

by Robert B. Ash

2002**Number of pages**: 407

**Description**:

This is a text for the basic graduate course in abstract algebra. It covers fundamental algebraic structures (groups, rings, fields and modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference. Solutions to all problems are included in the text.

Download or read it online for free here:

**Download link**

(2.8MB, PDF)

## Similar books

**An Introduction to the Algebra of Quantics**

by

**E.B. Elliott**-

**The Clarendon Press**

The primary object of this book is that of explaining with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important.

(

**11357**views)

**Clifford Algebra, Geometric Algebra, and Applications**

by

**Douglas Lundholm, Lars Svensson**-

**arXiv**

These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.

(

**15698**views)

**The Octonions**

by

**John C. Baez**-

**University of California**

The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.

(

**20202**views)

**Lectures on Quadratic Forms**

by

**C.L. Siegel**-

**Tata Institute of Fundamental Research**

From the table of contents: Vector groups and linear inequalities (Vector groups, Lattices, Characters, Diophantine approximations); Reduction of positive quadratic forms; Indefinite quadratic forms; Analytic theory of Indefinite quadratic forms.

(

**12171**views)