Linear Algebra As An Introduction To Abstract Mathematics (Paperback)

Anne Schilling

ISBN 10: 9814723770 / ISBN 13: 9789814723770

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

Paperback. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9789814723770

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.

Review: 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

Bibliographic Details

Title: Linear Algebra As An Introduction To ...
Publisher: World Scientific Publishing Co Pte Ltd, Singapore
Publication Date: 2016
Binding: Paperback
Condition: new