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Linear Transformations on Vector Spaces Scott Kaschner

By: Contributor(s): Material type: TextTextSeries: Open textbook libraryDistributor: Minneapolis, MN Open Textbook LibraryPublisher: [Place of publication not identified] PALNI 2023Copyright date: ©2023Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
Subject(s): LOC classification:
  • QA150-272.5
  • QA1
Online resources:
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
Subject: 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.
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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

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.

Attribution

In English.

Description based on print resource

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