04857nam 22008295 450 991029997920332120250609111446.00-8176-4636-110.1007/978-0-8176-4636-3(CKB)3710000000269556(SSID)ssj0001372612(PQKBManifestationID)11866411(PQKBTitleCode)TC0001372612(PQKBWorkID)11305032(PQKB)11419874(DE-He213)978-0-8176-4636-3(MiAaPQ)EBC6314551(MiAaPQ)EBC5555091(Au-PeEL)EBL5555091(OCoLC)1059414846(PPN)182090981(MiAaPQ)EBC1996427(EXLCZ)99371000000026955620141014d2014 u| 0engurnn#008mamaatxtccrEssential Linear Algebra with Applications A Problem-Solving Approach /by Titu Andreescu1st ed. 2014.New York, NY :Springer New York :Imprint: Birkhäuser,2014.1 online resource (X, 491 p. 2 illus. in color.)Bibliographic Level Mode of Issuance: Monograph0-8176-4360-5 Includes bibliographical references.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.     .Matrix theoryAlgebraApplied mathematicsEngineering mathematicsGame theoryComputer science—MathematicsLinear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Math Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17044Matrix theory.Algebra.Applied mathematics.Engineering mathematics.Game theory.Computer science—Mathematics.Linear and Multilinear Algebras, Matrix Theory.Algebra.Applications of Mathematics.Game Theory, Economics, Social and Behav. Sciences.Mathematical and Computational Engineering.Math Applications in Computer Science.512.531.12bclAndreescu Tituauthttp://id.loc.gov/vocabulary/relators/aut285837MiAaPQMiAaPQMiAaPQBOOK9910299979203321Essential linear algebra with applications1410548UNINA