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Linear Algebra as an Introduction to Abstract Mathematics by Bruno Nachtergaele, Anne Schilling, Isaiah Lankham

Linear Algebra as an Introduction to Abstract Mathematics

by Bruno Nachtergaele , Anne Schilling , Isaiah Lankham
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Book cover type: Paperback
  • ISBN13: 9789814723770
  • Binding: Paperback
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 208
  • Original Price: USD 36.0
  • Language: English
  • Edition: N/A
  • Item Weight: 454 grams
  • BISAC Subject(s): Algebra / Linear

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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