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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.

Titel:	Essential Linear Algebra with Applications: A Problem-Solving Approach
Autor/in / Beteiligte Person:	Andreescu, Tituhor.
Veröffentlichung:	2014
Medientyp:	Buch
Umfang:	X, 491 p. 2 illus. in color. online resource.
ISBN:	978-0-8176-4636-3 (print) ; 978-0-8176-4360-7 (print) ; 0-8176-4636-1 (print) ; 0-8176-4360-5 (print)
Schlagwort:	Algebra. Mathematics. Computer science. Matrix theory. Engineering mathematics. Linear and Multilinear Algebras, Matrix Theory. Applications of Mathematics. Game Theory, Economics, Social and Behav. Sciences. Appl.Mathematics/Computational Methods of Engineering. Math Applications in Computer Science.
Sonstiges:	Nachgewiesen in: Harvard Library Bibliographic Dataset Sprachen: English Contents Note: 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. . Document Type: Book Language: English Rights: This record is part of the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others, OCLC Online Computer Library Center, Inc. and the Library of Congress.

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Essential Linear Algebra with Applications: A Problem-Solving Approach