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Linear Algebra As An Introduction To Abstract Mathematics (Paperback)
Loot Price: R1,035
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Linear Algebra As An Introduction To Abstract Mathematics (Paperback)
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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.
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