This is a concise, insightful introduction to the field of numerical linear algebra. The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

Numerical Linear Algebra

Science & Math

Lloyd N. Trefethen

David Bau, III

Mathematics

SIAM: Society for Industrial and Applied Mathematics

Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.
 Contents: 1. Introduction; 2. First-order scalar linear ODEs; 3. First-order scalar nonlinear ODEs; 4. Second-order equations and damped oscillations; 5. Boundary-value problems; 6. Eigenvalues of linear BVPs; 7. Variable coefficients and adjoints; 8. Resonance; 9. Second-order equations in the phase plane; 10. Systems of equations 11. The fundamental existence theorem; 12. Random functions and random ODEs; 13. Chaos; 14. Linear systems and linearization; 15. Stable and unstable fixed points; 16. Multiple solutions of nonlinear BVPs; 17. Bifurcation; 18. Continuation and path-following; 19. Periodic ODEs; 20. Boundary and interior layers; 21. Into the complex plane; 22. Time-dependent PDEs; Appendix A: Chebfun and its ODE algorithms; Appendix B: 100 more examples.

Exploring ODEs

Tobin A. Driscoll

Ásgeir Birkisson

This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Approximation Theory and Approximation Practice, Extended Edition

Since its original appearance in 1997, Numerical Linear Algebra has been a leading textbook in its field, used in universities around the world. It is noted for its 40 lecture-sized short chapters and its clear and inviting style. It is reissued here with a new foreword by James Nagy and a new afterword by Yuji Nakatsukasa about subsequent developments.

Numerical Linear Algebra: Twenty-Fifth Anniversary Edition

In 1940 G. H. Hardy published A Mathematician's Apology, a meditation on mathematics by a leading pure mathematician. Eighty-two years later, An Applied Mathematician's Apology is a meditation and also a personal memoir by a philosophically inclined numerical analyst, one who has found great joy in his work but is puzzled by its relationship to the rest of mathematics.

An Applied Mathematician's Apology

Reading books is a kind of enjoyment. Reading books is a good habit. We bring you a different kinds of books. You can carry this book where ever you want. It is easy to carry. It can be an ideal gift to yourself and to your loved ones. Care instruction keep away from fire.

Approximation Theory And Approximation Practice

Orient Blackswan

See the best price to sell, buy, or rent books by Lloyd N. Trefethen. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.