Scientific Computation on Mathematical Problems and Conjectures: 60 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 60) - Softcover

Richard S. Varga (author)

Softcover

ISBN 10: 0898712572 ISBN 13: 9780898712575

Publisher: SIAM - Society for Industrial and Applied Mathematics, 1990

Synopsis

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About this title

Review

"Let me state at the outset that this monograph is a gem. It contains six completely independent chapters devoted to six different areas. The unifying theme is that all of the problems are drawn from classical analysis with a strong tilt toward approximation theory. The unique part of the monograph is how high-precision numerical calculations can play a creative role in this area. In fact, it is possibly fair to say that the monograph is a sequence of challenging and interesting problems, where both hard analysis and sophisticated computing techniques are brought to bear to develop rigorous proof of interesting conjectures, or in some cases, used to establish counterexamples." - George J. Fix, SIAM Review, June 1993. "This book contains fascinating accounts of how some longstanding mathematical problems could be solved after an accumulation of efforts by many mathematicians and the use of highly accurate floating- point computations. At the same time it shows that there are still a lot of unsolved mathematical problems, the solution of which may require deep mathematics, but probably also fast computers and highly-accurate numerical software." -- Herman J.J. te Riele, Mathematical Reviews, Issue 92b.

Edition details

• Publisher: SIAM - Society for Industrial and Applied Mathematics
• Publication date: 1990
• Language: English
• ISBN 10: 0898712572
• ISBN 13: 9780898712575
• Binding: Paperback
• Number of pages: 128