Linear Algebra as an Introduction to Abstract Mathematics

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.

List of contents

Product details

• Authors: Anne Schilling & Isa Bruno Nachtergaele, Isaiah Lankham, Bruno Nachtergaele, Anne Schilling
• Publisher: World Scientific
• Languages: English
• Product format: Paperback / Softback
• Released: 31.01.2016
• EAN: 9789814723770
• ISBN: 978-981-4723-77-0
• No. of pages: 210
• Dimensions: 152 mm x 229 mm x 12 mm
• Weight: 312 g
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra