Essential Linear Algebra With Applications
Subtitle: A Problem-solving Approach
Publisher: Springer; Birkhäuser
Published: April 30, 2008
Language: eng
Format: Hardcover
Number of pages: 350
ISBN-13: 9780817643607
Subjects: Algebra; Algebra - Linear; General; Mathematics; Science/Mathematics
Description: 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.