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Essential Linear Algebra with Applications A Problem-Solving Approach /

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...

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Main Author: Andreescu, Titu. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2014.
Edition:1st ed. 2014.
Subjects:
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.
Online Access:https://doi.org/10.1007/978-0-8176-4636-3
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.                                                                                                                                     .

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