Essential Linear Algebra with Applications : A Problem-Solving Approach / / by Titu Andreescu
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| Autore: |
Andreescu Titu
|
| Titolo: |
Essential Linear Algebra with Applications : A Problem-Solving Approach / / by Titu Andreescu
|
| Pubblicazione: | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (X, 491 p. 2 illus. in color.) |
| Disciplina: | 512.5 |
| Soggetto topico: | 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 | |
| Classificazione: | 31.12 |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | 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. . |
| Sommario/riassunto: | 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. . |
| Titolo autorizzato: | Essential linear algebra with applications |
| ISBN: | 0-8176-4636-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299979203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |