Gilbert Strang is a professor of mathematics at the Massachusetts Institute of Technology, where his research focuses on analysis, linear algebra and PDEs. In addition, he is the author of many textbooks and his service to the mathematics community is extensive, having spent time as President of SIAM, Chair of the Joint Policy Board for Mathematics as well as membership of various other committees and boards. The awards that Professor Strang has received for his research and teaching include the Chauvenet Prize (1976), the Award for Distinguished Service (SIAM, 2003), the Graduate School Teaching Award (MIT, 2003) and the Von Neumann Prize Medal of the U.S. Association for Computational Mechanics (2005), among others. He is a Member of the National Academy of Sciences, a Fellow of the American Academy of Arts and Sciences and an Honorary Fellow of Balliol College, Oxford.
Inhaltsangabe
Part I. Essays in Linear Algebra: 1. Perfect bases for the four subspaces 2. Four subspaces from a graph 3. My favourite matrix 4. The ultimate in echelon forms 5. Diagonalizing a symmetric matrix 6. Pascal's triangle in three matrices 7. Can the factors be sparse? 8. The eigenvalues of AB + BA 9. Factoring into very special matrices 10. Toeplitz matrices and circulants 11. The joint spectral radius of A and B 12. Banded matrices have remarkable inverses Part II. Essays in Calculus: 13. The fundamental theorem of calculus 14. The great function of calculus 15. Thin strips and small triangles in calculus 16. Chaos in Newton's method 17. Optical illusions for y = sin n Part III. Essays in Applied Mathematics: 18. The principles of applied mathematics 19. A minimum equals a maximum 20. Aiming directly at the solution 21. A chair through a door Part IV. Essays in Computational Science: 22. Eight cosine transforms 23. The ideas behind finite elements 24. The Strang-Fix conditions 25. Wavelets in music and television 26. Scaling functions lead to wavelets 27. Old and new splitting methods An essay about books List of publications Index.
Part I. Essays in Linear Algebra: 1. Perfect bases for the four subspaces 2. Four subspaces from a graph 3. My favourite matrix 4. The ultimate in echelon forms 5. Diagonalizing a symmetric matrix 6. Pascal's triangle in three matrices 7. Can the factors be sparse? 8. The eigenvalues of AB + BA 9. Factoring into very special matrices 10. Toeplitz matrices and circulants 11. The joint spectral radius of A and B 12. Banded matrices have remarkable inverses Part II. Essays in Calculus: 13. The fundamental theorem of calculus 14. The great function of calculus 15. Thin strips and small triangles in calculus 16. Chaos in Newton's method 17. Optical illusions for y = sin n Part III. Essays in Applied Mathematics: 18. The principles of applied mathematics 19. A minimum equals a maximum 20. Aiming directly at the solution 21. A chair through a door Part IV. Essays in Computational Science: 22. Eight cosine transforms 23. The ideas behind finite elements 24. The Strang-Fix conditions 25. Wavelets in music and television 26. Scaling functions lead to wavelets 27. Old and new splitting methods An essay about books List of publications Index.
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