Essential linear algebra with applications: a problem-solving approach
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electric…
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- Full title :Essential linear algebra with applications : a problem-solving approach / Titu Andreescu.
Summary
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject's hallmark.
Read More ↓Edition Statements
- Publication Date:©2014
Publication Statements
- Publisher(s):Birkhäuser, Springer
- Place of Publication:New York
- Language:eng
- Publication Date:©2014
The Physical Object
- Description:x, 491 pages ; : 24 cm
Edition Identifiers
- ISBN:9780817643607, 0817643605
- oclc:ocn894928090
- LC Classification:QA184.2
- Dewey Decimal:512/.5
Table of Contents
Matrix algebra -- Square matrices of order 2 -- Matrices and linear equations -- Vector spaces and subspaces -- Linear transformations -- Duality -- Determinants -- Polynomial expressions of linear transformations and matrices -- Diagonalizability -- Forms -- Appendix: Algebraic prerequisites.
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