Del i serien Springer Undergraduate Mathematics Series
535 kr
Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt över 249 kr.
Fler format och utgåvor
Beskrivning
Produktinformation
- Utgivningsdatum:2025-08-31
- Mått:155 x 235 x 24 mm
- Vikt:684 g
- Format:Häftad
- Språk:Engelska
- Serie:Springer Undergraduate Mathematics Series
- Antal sidor:389
- Upplaga:2
- Förlag:Springer International Publishing AG
- ISBN:9783031932595
Utforska kategorier
Mer om författaren
Jörg Liesen's research interests are in Numerical Linear Algebra, Matrix Theory, Constructive Approximation, and Computational Complex Analysis. A particular focus of his work is the convergence and stability analysis of iterative methods for solving large linear algebraic problems, which occur throughout science and engineering applications. He is also interested in the history of Mathematics, and in particular of Linear Algebra. He is the recipient of several prizes and awards for his mathematical work, including the Householder Award, the Emmy Noether Fellowship and the Heisenberg Professorship of the DFG. He likes to teach and pursue Mathematics as a lively subject, connecting theory with an ever-increasing variety of fascinating applications. Volker Mehrmann's research interests are in Numerical Mathematics, Control Theory, Matrix Theory, Mathematical Modeling as well as Scientific Computing. In recent years he has focused on the development and analysis of numerical methods for nonlinear eigenvalue problems and differential-algebraic systems of port-Hamiltonian structure with applications in many fields such as mechanical systems, electronic circuit simulation and acoustic field computations. He is co-editor-in-chief of the journal Linear Algebra and its Applications and editor of many other journals in Linear Algebra and Numerical Analysis. He believes that Mathematics has become a central ingredient for the societal development of the 21st century and that mathematical methods play the key role in the modeling, simulation, control and optimization of all areas of technological development.
Innehållsförteckning
- Chapter 1. Linear Algebra in every day life.- Chapter 2. Basic mathematical concepts.- Chapter 3. Algebraic structures.- Chapter 4. Matrices.- Chapter 5. The echelon form and the rank of matrices.- Chapter 6. Linear systems of equations.- Chapter 7. Determinants of matrices.- Chapter 8. The characteristic polynomial and eigenvalues of matrices.- Chapter 9. Vector spaces.- Chapter 10. Linear maps.- Chapter 11. Linear forms and bilinear forms.- Chapter 12. Euclidean and unitary vector spaces.- Chapter 13. Adjoints of linear maps.- Chapter 14. Eigenvalues of endomorphisms.- Chapter 15. Polynomials and the Fundamental Theorem of Algebra.- Chapter 16. Cyclic subspaces, duality and the Jordan canonical form.- Chapter 17. Matrix functions and systems of differential equations.- Chapter 18. Special classes of endomorphisms.- Chapter 19. The singular value decomposition.- Chapter 20. The Kronecker product and linear matrix equations.
Mer från samma författare
From Past to Future: Graßmann's Work in Context
Hans-Joachim Petsche, Albert C. Lewis, Jörg Liesen, Steve Russ
1 064 kr
From Past to Future: Graßmann's Work in Context
Hans-Joachim Petsche, Albert C. Lewis, Jörg Liesen, Steve Russ
1 064 kr
Mer från samma serie
Numerical Methods for Ordinary Differential Equations
David F. Griffiths, Desmond J. Higham
377 kr
Essential Partial Differential Equations
David F. Griffiths, John W. Dold, David J. Silvester
377 kr
Finitely Generated Abelian Groups and Similarity of Matrices over a Field
Christopher Norman
377 kr
Du kanske också är intresserad av
From Past to Future: Graßmann's Work in Context
Hans-Joachim Petsche, Albert C. Lewis, Jörg Liesen, Steve Russ
1 064 kr
Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations
Wolfgang Arendt, Joseph A. Ball, Jussi Behrndt, Karl-Heinz Förster, Volker Mehrmann, Carsten Trunk
1 064 kr
Numerical Methods for Structured Matrices and Applications
Dario Andrea Bini, Volker Mehrmann, Vadim Olshevsky, Eugene Tyrtsyhnikov, Marc van Barel
1 577 kr
From Past to Future: Graßmann's Work in Context
Hans-Joachim Petsche, Albert C. Lewis, Jörg Liesen, Steve Russ
1 064 kr
Applications of Differential-Algebraic Equations: Examples and Benchmarks
Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis
541 kr