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Linear Algebra as an Introduction to Abstract Mathematics
Paperback
AlgebraGeneral MathematicsPre-Calculus
ISBN13: 9789814723770
Publisher: World Scientific Publishing Company
Published: Dec 10 2015
Pages: 208
Weight: 1.00
Height: 0.60 Width: 6.70 Depth: 9.50
Language: English
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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