Description: Linear Algebra As An Introduction To Abstract MathematicsAuthor(s): Bruno Nachtergaele, Anne Schilling, Isaiah Lankham Format: Hardback Publisher: World Scientific Publishing Co Pte Ltd, Singapore Imprint: World Scientific Publishing Co Pte Ltd ISBN-13: 9789814730358, 978-9814730358 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.
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Book Title: Linear Algebra As An Introduction To Abstract Mathematics
Publisher: World Industries Scientific Publishing Co Pte LTD
Publication Year: 2016
Subject: Mathematics
Number of Pages: 208 Pages
Language: English
Publication Name: Linear Algebra As an Introduction to Abstract Mathematics
Type: Textbook
Author: Isaiah Lankham, Anne Schilling, Bruno Nachtergaele
Format: Hardcover
