Linear Algebra As An Introduction To Abstract Mathematics

Bruno Nachtergaele, Anne Schilling, Isaiah Lankham

ISBN 10: 9814723770 / ISBN 13: 9789814723770

Published by World Scientific Publishing Co Pte Ltd, SG, 2016

About this Item

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.

Seller Inventory # LU-9789814723770

Bibliographic Details

• Title: Linear Algebra As An Introduction To Abstract Mathematics
• Publisher: World Scientific Publishing Co Pte Ltd, SG
• Publication Date: 2016
• Language: English
• ISBN 10: 9814723770
• ISBN 13: 9789814723770
• Binding: Paperback
• Condition: New
• Dimensions: 16.99W x 1.19H x 24.41D centimeters 16.99 centimeters width by 1.19 centimeters height by 24.41 centimeters depth

About this title

Synopsis

"This is a well-written book, it might fare better as a potential text for an honors course in linear algebra." Mathematical Association of America 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.