Titel: Scientific Computations on Mathematical Problems and Conjectures (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 60)
Verlag: Society for Industrial and Applied Mathematics
Erscheinungsjahr: 1987
Sprache: Englisch
ISBN-10: 0898712572
ISBN-13: 9780898712575
Einband: paperback
Zustand: Very Good
Gewicht: 8�Unzen

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Studies the use of scientific computation as a tool in attacking a number of mathematical problems and conjectures.

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"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.

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