Essential Linear Algebra with Applications (PDF)
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This textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject's interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality.
Key features include:
. a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory;
. over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance;
. an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them.
Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course.
- Autor: Titu Andreescu
- 2014, 491 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 0817646361
- ISBN-13: 9780817646363
- Erscheinungsdatum: 14.10.2014
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 3.55 MB
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- Vorlesefunktion
“The present book, as its title indicates, introduces the essential concepts of linear algebra and considers some of its applications. … the book is very suitable for students who are going to prepare for competitions and Olympiads. Moreover, the solved problems make it a very good problem book, with nice ideas, for anybody working with linear algebra. I recommend this book for students, and also for classroom use by teachers.” (Mehdi Hassani, MAA Reviews, April, 2015)
“The present book is a wellcomed addition at the present literature. The approach is elementray, however still rigorous and detailed. It covers the standard topics on linear algebra taught in a two-semester course, from elementray matrix theory to canonical forms and bilinear forms. … I would be happy to teach linear algebra from this book and ask students to work on problems from it.” (A. Arvanitoyeorgos, zbMATH 1309.15001, 2015)
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