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Mathematical Modeling Through Topological Surgery and Applications (Paperback, Softcover reprint of the original 1st ed. 2018) Loot Price: R3,538
Discovery Miles 35 380
Mathematical Modeling Through Topological Surgery and Applications (Paperback, Softcover reprint of the original 1st ed. 2018):...

Mathematical Modeling Through Topological Surgery and Applications (Paperback, Softcover reprint of the original 1st ed. 2018)

Stathis Antoniou

Series: Springer Theses

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Loot Price R3,538 Discovery Miles 35 380 | Repayment Terms: R332 pm x 12*

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Topological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1-dimensional surgery happens during DNA recombination and when cosmic magnetic lines reconnect; 2-dimensional surgery happens during tornado formation and cell mitosis; and they conjecture that 3-dimensional surgery happens during the formation of black holes from cosmic strings, offering an explanation for the existence of a black hole's singularity. Inspired by such phenomena, the authors present a new topological model that extends the formal definition to a continuous process caused by local forces. Lastly, they describe an intrinsic connection between topological surgery and a chaotic dynamical system exhibiting a "hole drilling" behavior. The authors' model indicates where to look for the forces causing surgery and what deformations should be observed in the local submanifolds involved. These predictions are significant for the study of phenomena exhibiting surgery and they also open new research directions. This novel study enables readers to gain a better understanding of the topology and dynamics of various natural phenomena, as well as topological surgery itself and serves as a basis for many more insightful observations and new physical implications.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: Springer Theses
Release date: 2019
First published: 2018
Authors: Stathis Antoniou
Dimensions: 235 x 155 x 6mm (L x W x T)
Format: Paperback
Pages: 85
Edition: Softcover reprint of the original 1st ed. 2018
ISBN-13: 978-3-03-007297-1
Categories: Books > Science & Mathematics > Mathematics > Topology > General
Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
Books > Science & Mathematics > Physics > Relativity physics > General
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LSN: 3-03-007297-5
Barcode: 9783030072971

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