Linear Vector Space: Introduction

Topics Covered:

Abstract Systems, Binary Operations and Relations, Introduction to Groups and Fields, Vector Spaces and Subspaces, Linear Independence and Dependence of Vectors, Basis and Dimensions of a Vector Space, Change of Basis, Inner Product and Norm, Orthogonal and Orthonormal Set of Vectors.

Target Audience: 

5th Semester Physics Honours Students of Chandernagore College

Class-notes Download Link: 

Linear Vector space: Introduction

Lectures:

Part I

Part II

Reference:

• S P Kuila, ``Vector Analysis, Tensor Analysis and Linear Vector Space"
• B.S. Vatssa, ``Elements of Modern Algebra"
• Arfken and Weber, "Mathematical Methods for Physicists"
• S Lipschutz, ``Schaum's Outlines: Linear Algebra"

Atanu Kumar

Assistant Professor

Department of Physics

Chandernagore College

atanukum@gmail.com