Lectures on Linear Algebra

Donald S Passman

ISBN 10: 9811254990 / ISBN 13: 9789811254994

Published by World Scientific Publishing Company Apr 2022, 2022

About this Item

Neuware - This book consists of the expanded notes from an upper level linear algebra course given some years ago by the author. Each section, or lecture, covers about a week's worth of material and includes a full set of exercises of interest. It should feel like a very readable series of lectures. The notes cover all the basics of linear algebra but from a mature point of view. The author starts by briefly discussing fields and uses those axioms to define and explain vector spaces. Then he carefully explores the relationship between linear transformations and matrices. Determinants are introduced as volume functions and as a way to determine whether vectors are linearly independent. Also included is a full chapter on bilinear forms and a brief chapter on infinite dimensional spaces.The book is very well written, with numerous examples and exercises. It includes proofs and techniques that the author has developed over the years to make the material easier to understand and to compute.

Seller Inventory # 9789811254994

Bibliographic Details

• Title: Lectures on Linear Algebra
• Publisher: World Scientific Publishing Company Apr 2022
• Publication Date: 2022
• Language: English
• ISBN 10: 9811254990
• ISBN 13: 9789811254994
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 14D millimeters 244 millimeters width by 170 millimeters height by 14 millimeters depth
• Weight: 445 grams

About this title

Synopsis

This book consists of the expanded notes from an upper level linear algebra course given some years ago by the author. Each section, or lecture, covers about a week's worth of material and includes a full set of exercises of interest. It should feel like a very readable series of lectures. The notes cover all the basics of linear algebra but from a mature point of view. The author starts by briefly discussing fields and uses those axioms to define and explain vector spaces. Then he carefully explores the relationship between linear transformations and matrices. Determinants are introduced as volume functions and as a way to determine whether vectors are linearly independent. Also included is a full chapter on bilinear forms and a brief chapter on infinite dimensional spaces. The book is very well written, with numerous examples and exercises. It includes proofs and techniques that the author has developed over the years to make the material easier to understand and to compute.