Linear Transformations on Vector Spaces

Format:

Book

Author/Creator:

Kaschner, Scott, author.

Russell, Amber, author.

Language:

English

Subjects (All):

Algebra--Textbooks.

Algebra.

Mathematics--Textbooks.

Mathematics.

Physical Description:

1 online resource

Place of Publication:

[Place of publication not identified] PALNI 2023.

Language Note:

In English.

Summary:

Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.

Contents:

Preface

Chapter 0: Functions on Sets

Chapter 1: Vector Spaces

Chapter 2: Bases

Chapter 3: Linear Transformation

Chapter 4: More Fun with Matrices

Chapter 5: Square Matrices and Invariant Subspaces

Appendix

Glossary

Notes:

Description based on print resource