A01=Arturo Sangalli
Adaptive strategies
Algorithm
Ambiguity
Analogy
Artificial neural network
Author_Arturo Sangalli
Axiom
Axiomatic system
Bit
Byte
Calculation
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Category=PBCD
Category=PBWX
Category=PD
Combination
Complex adaptive system
Complexity
Computation
Computer
Computing
Decision problem
Decision rule
Deductive reasoning
Defection
Derivative
Detection
Dialectical materialism
Doctrine
Drawback
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Estimation
Expert system
Fallacy
Fuzzy concept
Fuzzy control system
Fuzzy logic
Fuzzy set
Genetic algorithm
Godel's incompleteness theorems
Goldbach's conjecture
Granular material
Halting problem
Implicit parallelism
Inference
Information overload
Instance (computer science)
Instruction set
Integrator
Logic
Margin of error
Mathematical problem
Mathematician
Mathematics
Natural number
NP (complexity)
NP-completeness
Optimization problem
Prime number
Probability
Problem solving
Quantity
Requirement
Soft computing
Special case
Subset
Term logic
Theorem
Theory
Time complexity
Transposable element
Travelling salesman problem
Turing machine
Uncertainty
Variable (computer science)
Variable (mathematics)
Product details
- ISBN 9780691001449
- Weight: 482g
- Dimensions: 152 x 235mm
- Publication Date: 22 Nov 1998
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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How has computer science changed mathematical thinking? In this first ever comprehensive survey of the subject for popular science readers, Arturo Sangalli explains how computers have brought a new practicality to mathematics and mathematical applications. By using fuzzy logic and related concepts, programmers have been able to sidestep the traditional and often cumbersome search for perfect mathematical solutions to embrace instead solutions that are "good enough." If mathematicians want their work to be relevant to the problems of the modern world, Sangalli shows, they must increasingly recognize "the importance of being fuzzy." As Sangalli explains, fuzzy logic is a technique that allows computers to work with imprecise terms--to answer questions with "maybe" rather than just "yes" and "no." The practical implications of this flexible type of mathematical thinking are remarkable. Japanese programmers have used fuzzy logic to develop the city of Sendai's unusually energy-efficient and smooth-running subway system--one that does not even require drivers.
Similar techniques have been used in fields as diverse as medical diagnosis, image understanding by robots, the engineering of automatic transmissions, and the forecasting of currency exchange rates. Sangalli also explores in his characteristically clear and engaging manner the limits of classical computing, reviewing many of the central ideas of Turing and Godel. He shows us how "genetic algorithms" can solve problems by an evolutionary process in which chance plays a fundamental role. He introduces us to "neural networks," which recognize ill-defined patterns without an explicit set of rules--much as a dog can be trained to scent drugs without ever having an exact definition of "drug." Sangalli argues that even though "fuzziness" and related concepts are often compared to human thinking, they can be understood only through mathematics--but the math he uses in the book is straightforward and easy to grasp. Of equal appeal to specialists and the general reader, The Importance of Being Fuzzy reveals how computer science is changing both the nature of mathematical practice and the shape of the world around us.
Arturo Sangalli is Professor of Mathematics at Champlain Regional College in Lennoxville, Québec.
