Linear Algebra As an Introduction to Abstract Mathematics - Couverture rigide

Nachtergaele, Bruno; Schilling, Anne; Lankham, Isaiah

 
9789814730358: Linear Algebra As an Introduction to Abstract Mathematics
Couverture rigide
ISBN 10 : 9814730351 ISBN 13 : 9789814730358
Editeur : World Scientific Publishing Co Pte Ltd, 2016

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2016
Langue
anglais
ISBN 10 
9814730351
ISBN 13 
9789814730358
Reliure
Relié
Nombre de pages
208
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9789814723770: Linear Algebra As An Introduction To Abstract Mathematics

Edition présentée

ISBN 10 :  9814723770 ISBN 13 :  9789814723770
Editeur : WSPC, 2015
Couverture souple