Linear Algebra for the Sciences
This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathemati...
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| Main Authors: | , |
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| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
| Izdano: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Izdaja: | 1st ed. 2023. |
| Serija: | La Matematica per il 3+2,
151 |
| Teme: | |
| Online dostop: | https://doi.org/10.1007/978-3-031-27220-2 |
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Kazalo:
- Part I Systems of linear equations
- 1 Introduction
- 2 Systems with two equations and two unknowns
- 3 Gaussian elimination
- Part II Matrices and related topics
- 4 Basic operations
- 5 Linear dependence, bases, coordinates
- 6 Determinants
- Part III Complex numbers
- 7 Complex numbers: definition and operations
- 8 The Fundamental Theorem of Algebra
- 9 Linear systems with complex coefficients
- Part IV Vector spaces and linear maps
- 10 Vector spaces and their linear subspaces
- 11 Linear maps
- 12 Inner products on K-vector spaces
- Part V Eigenvalues and eigenvectors
- 13 Eigenvalues and eigenvectors of C–linear maps
- 14 Eigenvalues and eigenvectors of R-linear maps
- 15 Quadratic forms on Rn
- Part VI Differential equations
- 16 Introduction
- 17 Linear ODEs with constant coefficients of first order
- 18 Linear ODEs with constant coefficients of higher order
- Appendix A Solutions.