Linear Algebra as an Introduction to Abstract Mathematics

Isaiah Lankham ,

ISBN 10: 9814730351 / ISBN 13: 9789814730358

Published by World Scientific Publishing Company, 2015

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Bibliographic Details

• Title: Linear Algebra as an Introduction to Abstract Mathematics
• Publisher: World Scientific Publishing Company
• Publication Date: 2015
• Language: English
• ISBN 10: 9814730351
• ISBN 13: 9789814730358
• Binding: Hardcover
• Condition: Brand New

About this title

Synopsis

This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.