Linear Algebra for Computational Sciences and Engineering

• Κύριος συγγραφέας: Neri, Ferrante (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 2nd ed. 2019.
• Θέματα: Computer science-Mathematics.; Applied mathematics.; Engineering mathematics.; Matrix theory.; Algebra.; Mathematics of Computing.; Mathematical and Computational Engineering.; Linear and Multilinear Algebras, Matrix Theory.

This book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an unders...

Πίνακας περιεχομένων:

• 1. Basic Mathematical Thinking
• 2. Matrices
• 3. Systems of Linear Equations
• 4. Geometric Vectors
• 5. Complex Numbers and Polynomials
• 6. An Introduction to Geometric Algebra and Conics
• 7. An Overview of Algebraic Structures
• 8. Vector Spaces
• 9. An Introduction to Inner Product Spaces: Euclidean Spaces
• 10. Linear Mappings
• 11. An Introduction to Computational Complexity
• 12. Graph Theory
• 13. Applied Linear Algebra: Electrical Networks
• A. non-linear Algebra: An Introduction to Boolean Algebra
• Proofs of Theorems that Require Further Knowledge of Mathematics
• Appendix. Solutions to the Exercises.