Elements of Abstract and Linear Algebra

A survey of abstract algebra with emphasis on linear algebra, presented in a compact and tightly organized, but still somewhat informal book.

**Tag(s):**
Linear Algebra

**Publication date**: 01 Mar 2004

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
146 pages

**Views**: 26,322

**Type**: Textbook

**Publisher**:
n/a

**License**:
n/a

**Post time**: 27 Jul 2005 10:33:00

Elements of Abstract and Linear Algebra

A survey of abstract algebra with emphasis on linear algebra, presented in a compact and tightly organized, but still somewhat informal book.

Book excerpts:

Edwin H. Connel wrote:Elements of Abstract and Linear Algebra is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences. The first three or four chapters can stand alone as a one semester course in abstract algebra, yet they are structured to provide the background for the chapter on linear algebra. The most difficult part of the book is about groups, which are written in additive and multiplicative notation, and the concept of coset, which is confusing at first. Yet, after the first fourth chapters the book gets easier as the linear algebra follows easily. Finishing the chapters on linear algebra gives a basic one year undergraduate course in abstract algebra. The rest of the material completes the course. Those with little background can do the first three chapters in the first semester, and chapters 4 and 5 in the second semester.

The presentation is compact and tightly organized, but still somewhat informal. The proofs of many of the elementary theorems are omitted. These proofs are to be provided by the professor in class or assigned as homework exercises.

This text is written with the conviction that it is more effective to teach abstract and linear algebra as one coherent discipline rather than as two separate ones. Also with this text the professor does not extract the course from the text, but rather builds the course upon it. It is easier to build a course from a base than to extract it from a big book. Because after the student extract it, he still have to build it. The bare bones nature of this book adds to its flexibility, because the student can build whatever course he want around it.

Tweet

About The Author(s)

Edwin Hale Connell is Professor Emeritus in the Department of Mathematics at the University of Miami. His research interests include Algebra and Topology.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Rexx
Microsoft .NET
Perl
PHP
R
Python
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors