Non-Fiction Books:

Mathematical Modeling Through Topological Surgery and Applications

Click to share your rating 0 ratings (0.0/5.0 average) Thanks for your vote!

Format:

Hardback
$311.99
Available from supplier

The item is brand new and in-stock with one of our preferred suppliers. The item will ship from a Mighty Ape warehouse within the timeframe shown.

Usually ships in 2-3 weeks

Buy Now, Pay Later with:

4 payments of $78.00 with Afterpay Learn more

Availability

Delivering to:

Estimated arrival:

  • Around 8-20 May using International Courier

Description

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.

Author Biography:

Stathis Antoniou received his PhD in 2018. His research interests include low-dimensional topology and  mathematical modeling. He has worked in the private sector in data analytics and is currently doing research on topological surgery, Morse theory and cosmological phenomena.
Release date Australia
August 31st, 2018
Audience
  • Professional & Vocational
Edition
1st ed. 2018
Illustrations
27 Illustrations, color; 10 Illustrations, black and white; XVII, 85 p. 37 illus., 27 illus. in color.
Pages
85
ISBN-13
9783319970660
Product ID
28225462

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Help & options

Filed under...