Linear Algebra As An Introduction To Abstract Mathematics
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A01=Anne Schilling
A01=Bruno Nachtergaele
A01=Isaiah Lankham
Author_Anne Schilling
Author_Bruno Nachtergaele
Author_Isaiah Lankham
Category=PBF
Complex Numbers
Determinants
Eigen-Spaces
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite-Dimensional Vector Spaces
Linear Algebra
Spectral Theorem
Product details
- ISBN 9789814730358
- Publication Date: 28 Jan 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
