Linear Algebra in Context A Gateway to the Discrete Fourier Transform, Bilinear and Sesquilinear Forms, Algebras, Tensors and Mechanics /
This text combines a compact linear algebra course with a serious dip into various physical applications. It may be used as a primary text for a course in linear algebra or as a supplementary text for courses in applied math, scientific computation, mathematical physics, or engineering. The text is...
Wedi'i Gadw mewn:
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| Awdur Corfforaethol: | |
| Fformat: | Electronig eLyfr |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Rhifyn: | 1st ed. 2025. |
| Cyfres: | Springer Undergraduate Texts in Mathematics and Technology,
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| Pynciau: | |
| Mynediad Ar-lein: | https://doi.org/10.1007/978-3-031-78424-8 |
| Tagiau: |
Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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Tabl Cynhwysion:
- Preface
- Part I Linear Algebra
- 1 Basics
- 2 Vector Spaces
- 3 Bilinear and Sesquilinear Forms
- 4 Shorter Applications
- 5 Factorization
- Part II Extended Applications
- 6 The Discrete Fourier Transform
- 7 Geometry Associated with Real Bilinear Forms
- Algebras
- 9 Tensors
- 10 Mechanics: Newton, Lagrange, Hamilton, Noether
- A Permutation and the Signum Function
- B Groups
- C Polynomial Roots are Continuous in the Coefficients
- D The Fundamental Theorem of Algebra
- E There is a Basis for Every Vector Space
- F The GNU Linear Programming Kit (GLPK)
- G MATLAB Code for Adjunct Matrices
- H MATLAB Code for Rotations and Euler Angles
- I. MATLAB Code for Lorentz Matrices
- J MATLAB Code to Illustrate DFT Facts
- K MATLAB Code for Quaternions, Octonions and Gamma Matrices
- L MATLAB Code for Tensor Operations
- Suggested Further Reading
- References
- Index.