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Record Nr. |
UNINA9910299979203321 |
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Autore |
Andreescu Titu |
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Titolo |
Essential Linear Algebra with Applications : A Problem-Solving Approach / / by Titu Andreescu |
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Pubbl/distr/stampa |
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New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (X, 491 p. 2 illus. in color.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Matrix theory |
Algebra |
Applied mathematics |
Engineering mathematics |
Game theory |
Computer science—Mathematics |
Linear and Multilinear Algebras, Matrix Theory |
Applications of Mathematics |
Game Theory, Economics, Social and Behav. Sciences |
Mathematical and Computational Engineering |
Math Applications in Computer Science |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. . |
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Sommario/riassunto |
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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 |
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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. . |
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