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＜E-Book＞
Essential Linear Algebra with Applications : A Problem-Solving Approach / by Titu Andreescu

Edition	1st ed. 2014.
Publisher	(New York, NY : Springer New York : Imprint: Birkhäuser)
Year	2014
Language	English
Size	X, 491 p. 2 illus. in color : online resource
Authors	*Andreescu, Titu author SpringerLink (Online service)
Subjects	LCSH:Algebras, Linear LCSH:Algebra LCSH:Mathematics LCSH:Game theory LCSH:Engineering mathematics LCSH:Engineering -- Data processing  All Subject Search LCSH:Computer science -- Mathematics  All Subject Search FREE:Linear Algebra FREE:Algebra FREE:Applications of Mathematics FREE:Game Theory FREE:Mathematical and Computational Engineering Applications FREE:Mathematical Applications in Computer Science
Notes	Preface -- Linear Phenomena and Euclidean Spaces of Small Dimension -- Concrete Vector Spaces -- Vector Spaces and Subspaces -- Linear Transformations -- More Matrix Algebra and Determinants -- General Theory of Linear Equations -- Eigenvectors -- Orthogonality -- Forms -- Vector Spaces over Finite Fields -- Appendix A: Complex Numbers -- Appendix B: Polynomials over Complex Numbers -- References -- Index.                                                                                                                                      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.      HTTP:URL=https://doi.org/10.1007/978-0-8176-4636-3

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