Essential Linear Algebra with Applications A Problem-Solving Approach /

• Main Author: Andreescu, Titu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2014.
• Subjects: Mathematics.; Computer science > Mathematics.; Algebra.; Matrix theory.; Applied mathematics.; Engineering mathematics.; Game theory.; 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.

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 founda...

Table of Contents:

• 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.                                                                                                                                     .