£39.51

Springer - Computability of Julia Sets: 23 Mathematics Book

Name: Springer - Computability of Julia Sets: 23 Mathematics Book
Brand: Springer
Price: 39.51 GBP
Availability: InStock

Algorithms

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Description

Explore the deep mathematical connections between complexity and computation in this specialized volume from the Algorithms and Computation in Mathematics series. Julia sets of rational maps are famous for their visual beauty, but they also contain profound mathematical depth regarding computational hardness. While many programs exist to visualize these sets, this book examines the limits of what can be computed. The authors present groundbreaking research, including the constructive production of quadratic polynomials with Julia sets that are not computable. This work provides a rigorous look at how computable sets in a plane relate to high-magnification computer visualization. This text is an essential resource for those studying the intersection of complex dynamics and theoretical computer science. It moves beyond simple visualization to address the fundamental question of whether these mathematical structures can be fully realized by digital systems.

Key Features

Part of the Algorithms and Computation in Mathematics series, volume 23.

Investigates the computational hardness and mathematical content of Julia sets.

Examines the limits of computer-generated mathematical images and visualization.

Provides constructive examples of quadratic polynomials with non-computable Julia sets.

Offers deep insights into the relationship between plane sets and computer magnification.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3642088066
Category: Books > Subjects > Computing & Internet > Programming > Algorithms
Domain: Amazon UK
Release Date: 22 November 2010
Listed Since: 14 June 2010

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Springer - Computability of Julia Sets: 23 Mathematics Book

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