Experimental Mathematics in Action

ISBN-13: 9781568812717 / Angielski / Twarda / 2007 / 322 str.

David H. Bailey; Jonathan M. Borwein

Opis

With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doing to highlight some of the key algorithms and to teach some of the key experimental approaches.

Spis treści

Preface, 1. A Philosophical Introduction, 2. Algorithms for Experimental Mathematics I, 3. Algorithms for Experimental Mathematics II, 4. Exploration and Discovery in Inverse Scattering, 5. Exploring Strange Functions on the Computer, 6. Random Vectors and Factoring Integers: A Case Study, 7. A Selection of Integrals from a Popular Table, 8. Experimental Mathematics: A Computational Conclusion, 9. Exercises, Bibliography, Index

O autorze

David Bailey, Jonathan Borwein, Neil Calkin, Russell Luke, Roland Girgensohn, Victor Moll