Stephen Andrilli, David Hecker

Elementary Linear Algebra (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

• 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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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 544
• Erscheinungstermin: 5. April 2022
• Englisch
• ISBN-13: 9780323984263
• Artikelnr.: 63715218

Autorenporträt

Dr. Stephen Andrilli holds a Ph.D. degree in mathematics from Rutgers University, and is an Associate Professor in the Mathematics and Computer Science Department at La Salle University in Philadelphia, PA, having previously taught at Mount St. Mary's University in Emmitsburg, MD. He has taught linear algebra to sophomore/junior mathematics, mathematics-education, chemistry, geology, and other science majors for over thirty years. Dr. Andrilli's other mathematical interests include history of mathematics, college geometry, group theory, and mathematics-education, for which he served as a supervisor of undergraduate and graduate student-teachers for almost two decades. He has pioneered an Honors Course at La Salle based on Douglas Hofstadter's "Godel, Escher, Bach, into which he weaves the Alice books by Lewis Carroll. Dr. Andrilli lives in the suburbs of Philadelphia with his wife Ene. He enjoys travel, classical music, classic movies, classic literature, science-fiction, and mysteries. His favorite author is J. R. R. Tolkien.Dr. David Hecker has a Ph.D. degree in mathematics from Rutgers University, and is a Professor in the Mathematics Department at Saint Joseph's University in Philadelphia, PA. He has taught linear algebra to sophomore/junior mathematics and science majors for over three decades. Dr. Hecker has previously served two terms as Chair of his department, and his other mathematical interests include real and complex analysis, and linear algebra. He lives on five acres in the farmlands of New Jersey with his wife Lyn, and is very devoted to his four children. Dr. Hecker enjoys photography, camping and hiking, beekeeping, geocaching, science-fiction, humorous jokes and riddles, and rock and country music. His favorite rock group is the Moody Blues.

Inhaltsangabe

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