[No longer freely accessible] From Geometry to Algebra - An Introduction to Linear Algebra

Presents basic concepts in linear algebra such as vector spaces, basis, inner-product spaces, and linear transformations. Also shows how abstract concepts can be applied in various problems.

**Tag(s):**
Linear Algebra

**Publication date**: 01 Nov 2003

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
n/a

**Views**: 17,755

**Type**: Textbook

**Publisher**:
n/a

**License**:
n/a

**Post time**: 14 Apr 2008 04:32:17

[No longer freely accessible] From Geometry to Algebra - An Introduction to Linear Algebra

Presents basic concepts in linear algebra such as vector spaces, basis, inner-product spaces, and linear transformations. Also shows how abstract concepts can be applied in various problems.

Excerpts from the Preface:

Linear Algebra is the study of the notion of 'linearity', which arises mainly from two sources: study of geometry in the algebraic set-up, and the study of systems of linear equations which arises in the mathematical formulations of some real life problems. We shall see how these motivate one to consider the basic concepts in linear algebra such as to consider the basic concepts in linear algebra such as: vector spaces, basis, inner-product spaces, and linear transformations.

Linear Algebra has two aspects play important role in diverse branches of mathematics, physics, engineering, economics, and so on. The main aim of these notes is to present both these aspects of Linear Algebra (of course not fully, given the limited scope of these notes ). We shall try to show how abstract concepts arises out of applications and how abstract concepts can be applied in various problems.

Normally, students are taught matrices and determinants in the first introductory course in linear algebra. The notes climax in a proof of the 'Spectral Theorem', also called the 'Diagonalization Theorem' or the 'Principal Axis theorem', and some of its applications.

Linear Algebra is the study of the notion of 'linearity', which arises mainly from two sources: study of geometry in the algebraic set-up, and the study of systems of linear equations which arises in the mathematical formulations of some real life problems. We shall see how these motivate one to consider the basic concepts in linear algebra such as to consider the basic concepts in linear algebra such as: vector spaces, basis, inner-product spaces, and linear transformations.

Linear Algebra has two aspects play important role in diverse branches of mathematics, physics, engineering, economics, and so on. The main aim of these notes is to present both these aspects of Linear Algebra (of course not fully, given the limited scope of these notes ). We shall try to show how abstract concepts arises out of applications and how abstract concepts can be applied in various problems.

Normally, students are taught matrices and determinants in the first introductory course in linear algebra. The notes climax in a proof of the 'Spectral Theorem', also called the 'Diagonalization Theorem' or the 'Principal Axis theorem', and some of its applications.

Tweet

About The Author(s)

No information is available for this author.

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
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors