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Lectures On Linear Algebra
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Lectures On Linear Algebra Paperback - 2022

by Donald S Passman

  • New

Description

New. The book consists of expanded notes of an upper level linear algebra course the author offered. Each section, or lecture, covers about a week's worth of material and includes a mixture of exercises of interest. So it feels like a series of lectures that is very readable. The notes cover all the basics of linear algebra but from a mature point of view. The author starts by briefly discussing fields and use these axioms to define and explain vector spaces, then carefully explores the relationship between linear transformations and matrices in an easy to understand manner. Determinants are introduced as volume functions and ways 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.
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Details

  • Title Lectures On Linear Algebra
  • Author Donald S Passman
  • Binding Paperback
  • Condition New
  • Pages 252
  • Volumes 1
  • Language ENG
  • Publisher World Scientific Publishing Company
  • Date 2022-04-07
  • Bookseller's Inventory # A9789811254994
  • ISBN 9789811254994 / 9811254990
  • Weight 0.9 lbs (0.41 kg)
  • Dimensions 9.61 x 6.69 x 0.53 in (24.41 x 16.99 x 1.35 cm)

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From the publisher

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.