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25 Remote Warehouse Mathematics- Logic and Philosophy

Complexity and Information

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Complexity and Information Cover

 

Synopses & Reviews

Publisher Comments:

The twin themes of computational complexity and information pervade this book. It starts with an introduction to information-based complexity, that is, the computational complexity of continuous mathematical models. It then moves to a variety of topics, including breaking the curse of dimensionality, complexity of path integration, solvability of ill-posed problems, value of information in computation, assigning values to mathematical hypotheses, and mathematical finance. The style is informal, and the goal is motivation and insight. Precise statements and proofs can be found in the monographs and papers included in the comprehensive bibliography. The book will be essential reading for researchers in the many disciplines influenced by the computational complexity of continuous problems.

Synopsis:

The twin themes of of computational complexity and information pervade this book. Information-based complexity is used to illustrate a variety of topics, including breaking the curse of dimension, 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 inf ormal, and the goals are exposition, insight and motivation. As the first introductory book on the subject it will invaluable as a guide to the area.

Synopsis:

First introductory book to subject; also illustrated with applications.

Table of Contents

Part I. Fundamentals: 1. Introduction; 2. Information-based complexity; 3. Breaking the curse of dimensionality; Part II. Some Interesting Topics: 4. Very high-dimensional integration and mathematical finance; 5. Complexity of path integration; 6. Are ill-posed problems solvable?; 7. Complexity of nonlinear problems; 8. What model of computation should be used by scientists? 9. Do impossibility theorems from formal models limit scientific knowledge? 10. Complexity of linear programming; 11. Complexity of verification; 12. Complexity of implementation testing; 13. Noisy information; 14. Value of information in computation; 15. Assigning values to mathematical hypotheses; 16. Open problems; 17. A brief history of information-based complexity; Part III. References: 18. A guide to the literature; Bibliography; Subject index; Author index.

Product Details

ISBN:
9780521485067
Editor:
Radicati Di Brozolo, Luigi A.
Author:
Werschulz, A.
Editor:
Radicati Di Brozolo, Luigi A.
Author:
Luigi A. Radicati di Brozolo
Author:
Werschulz, Arthur G.
Author:
Radicati Di Brozolo, Luigi A.
Author:
Traub, J.
Author:
Werschulz, A. G.
Author:
Traub, J. F.
Publisher:
Cambridge University Press
Location:
Cambridge, U.K. ;
Subject:
General
Subject:
Logic
Subject:
Advanced
Subject:
Numerical analysis
Subject:
Computational complexity
Subject:
Numeracal analysas
Subject:
General Computers
Subject:
Mathematics-Logic and Philosophy
Edition Description:
Trade paper
Series:
Lezioni lincee
Series Volume:
87-15
Publication Date:
20111031
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
10 b/w illus. 5 tables
Pages:
160
Dimensions:
8.49x5.47x.37 in. .42 lbs.

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Related Subjects

Computers and Internet » Computers Reference » General
History and Social Science » World History » General
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy

Complexity and Information New Trade Paper
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$58.25 In Stock
Product details 160 pages Cambridge University Press - English 9780521485067 Reviews:
"Synopsis" by , The twin themes of of computational complexity and information pervade this book. Information-based complexity is used to illustrate a variety of topics, including breaking the curse of dimension, 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 inf ormal, and the goals are exposition, insight and motivation. As the first introductory book on the subject it will invaluable as a guide to the area.
"Synopsis" by , First introductory book to subject; also illustrated with applications.
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