Linear Algebra as an Introduction to Abstract Mathematics
Linear Algebra as an Introduction to Abstract Mathematics

Linear Algebra as an Introduction to Abstract Mathematics

Lankham, Isaiah / Nachtergaele, Bruno / Schilling, Anne

Editorial:
World Scientific Publishing Co Pte Ltd
ISBN:
978-981-4730-35-8
 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 line... Más información
Materias:
Editorial:
World Scientific Publishing Co Pte Ltd
Encuadernación:
Cartoné
Idioma de publicación :
Inglés
ISBN:
978-981-4730-35-8
EAN:
9789814730358
Dimensiones:
2440 x 1700 mm.
Peso:
538 gramos
Nº páginas:
210
Fecha publicación :
30-11-2015
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    Sinopsis

    Sinopsis de: "Linear Algebra as an Introduction to Abstract Mathematics"

     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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    Lankham, Isaiah / Nachtergaele, Bruno / Schilling, Anne

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