Description

Book 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.

Linear Algebra As An Introduction To Abstract

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    Order before 4pm today for delivery by Fri 19 Jun 2026.

    A Paperback / softback by Bruno Nachtergaele, Anne Schilling, Isaiah Lankham

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      View other formats and editions of Linear Algebra As An Introduction To Abstract by Bruno Nachtergaele

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 28/01/2016
      ISBN13: 9789814723770, 978-9814723770
      ISBN10: 9814723770

      Description

      Book 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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