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Lezioni Lincee: Complexity and Information (Paperback)
  • Lezioni Lincee: Complexity and Information (Paperback)

Lezioni Lincee: Complexity and Information (Paperback)

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Paperback 154 Pages / Published: 10/12/1998
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The twin themes of computational complexity and information pervade this 1998 book. It starts with an introduction to the computational complexity of continuous mathematical models, that is, information-based complexity. This is then used to illustrate a variety of topics, including breaking the curse of dimensionality, complexity of path integration, solvability of ill-posed problems, the value of information in computation, assigning values to mathematical hypotheses, and new, improved methods for mathematical finance. The style is informal, and the goals are exposition, insight and motivation. A comprehensive bibliography is provided, to which readers are referred for precise statements of results and their proofs. As the first introductory book on the subject it will be invaluable as a guide to the area for the many students and researchers whose disciplines, ranging from physics to finance, are influenced by the computational complexity of continuous problems.

Publisher: Cambridge University Press
ISBN: 9780521485067
Number of pages: 154
Weight: 200 g
Dimensions: 216 x 140 x 9 mm

'Clearly written, filled with interesting examples, important theorems and tantalising conjectures, this is destined to be a classic.' New Scientist
"This short volume packs so much information into so small a space that it stretches the imagination as to know how the authors did it. Clearly written, filled with interesting examples, important theorems and tantalizing conjectures, this book should be taken as holiday reading by everyone concerned with using a computer to solve real problems. It's destined to be a classic." New Scientist
"The exposition is straightforward and clear, with well-chosen diagrams to smooth the way...The broad expanse between technical and general themes may be one of the more challenging and appealing aspects of the book...This book provides worthwhile evidence that IBC (information based complexity) is an important, albeit highly specialized, approach to understanding and applying information in modeling the complexity of a variety of mathematically formulated problems." Complexity
" a good grounding in the essential issues of complexity and information. For an overview of the larger issues, this small book is excellent." Bulletin of the AMS
"Really a jewel...written with loving care and in an elegant style." Institute of Discrete Mathematics
"Highly recommended." Choice
"Anyone interested in numerical analysis and scientific computing can profit from the book and its many insights." Siam Review

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