Download individual chapters of *A Course in Algebraic Number Theory, by Robert B. Ash, in pdf format.*

# Algebra

## A Course In Algebraic Number Theory

## Understanding Algebra

** Understanding Algebra**, by James Brennan, is a brief overview of pre-algebra and introductory algebra topics, written in a style meant to give you the basic facts in a way that is easy to understand.

## Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra” by Ray M. Bowen and C.-C. Wang can be downloaded in pdf format. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students.

## Linear Algebra, Infinite Dimensions, and Maple

Linear Algebra, Infinite Dimensions, and Maple can be downloaded free of charge in pdf format. These notes evolved in the process of teaching a beginning graduate course in Hilbert Spaces.

## Elements of Abstract and Linear Algebra

This is a foundational textbook on abstract algebra with emphasis on linear algebra. You may download parts of the book or the entire textbook. It is provided free online in pdf format. This book is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences.

## Linear Algebra

This is a free algebra book. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. This book helps students to master the material of a standard US undergraduate linear algebra course.

## A Computational Introduction to Number Theory and Algebra

A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. This book can be downloaded in pdf format.

## A First Course in Linear Algebra

A First Course in Linear Algebra is an introductory textbook designed for university sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite.

## A Course In Commutative Algebra

Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently.