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Sinopsis
"This is a well-written book, it might fare better as a potential text for an honors course in linear algebra." Mathematical Association of America 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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Críticas
This is a well-written book, it might fare better as a potential text for an honors course in linear algebra. --Mathematical Association of America
Reseña del editor
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Linear Algebra As An Introduction To Abstract Mathematics
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World Scientific Publishing Co Pte Ltd, 2016
ISBN 10: 9814723770
ISBN 13: 9789814723770
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Linear Algebra as an Introduction to Abstract Mathematics
Publicado por
World Scientific Publishing Company, 2016
ISBN 10: 9814723770
ISBN 13: 9789814723770
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