"The authors give a clear and logically correct exposition of the foundations of linear algebra and rightly determinate the balance between the computational parts and the more theoretical parts." --K.Burian, zbMATH Open
"A 35-page appendix gives brief descriptions of commands needed when using computational tools such as Derive, Maple, MATLAB, Mathematica and various graphing calculators." --J.D.Dixon, zbMATH Open
*Textbook and Academic Authors Association (TAA) Textbook Excellence Award Winner, 2024*
Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. In addition, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging.
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1. Vectors and Matrices
2. Systems of Linear Equations
3. Determinants and Eigenvalues
4. Finite Dimensional Vector Spaces
5. Linear Transformations
6. Orthogonality
7. Complex Vector Spaces and General Inner Products
8. Additional Applications
9. Numerical Methods
Appendices
A: Miscellaneous Proofs
B: Functions
C: Complex Numbers
D: Elementary Matrices
E: Answers to Selected Exercies
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Provides students with a clear introduction to, and valuable practice with, computational and theoretical linear algebra
Prepares students with a thorough coverage of the fundamentals of introductory linear algebra
Presents each chapter as a coherent, organized theme, with clear explanations for each new concept
Builds a foundation for math majors in the reading and writing of elementary mathematical proofs
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Produktdetaljer
ISBN
9780128229781
Publisert
2022-08-17
Utgave
6. utgave
Utgiver
Elsevier Science Publishing Co Inc
Vekt
1470 gr
Høyde
276 mm
Bredde
216 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
544