Essential linear algebra with applications : a problem-solving approach /

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 f...

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1. Verfasser: Andreescu, Titu (VerfasserIn)
Körperschaft: SpringerLink (Online service)
Format: E-Book
Sprache:English
Veröffentlicht: New York, NY Springer New York 2014.
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Beschreibung
Zusammenfassung: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.     
Beschreibung:1 online resource (X, 491 pages.) 2 illustrations. in colour. digital
ISBN:9780817646363