Tropical and Idempotent Mathematics is popular PDF and ePub book, written by Grigoriĭ Lazarevich Litvinov in 2009, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Tropical and Idempotent Mathematics can be Read Online from any device for your convenience.
Tropical and Idempotent Mathematics Book PDF Summary
This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade. Tropical mathematics can be viewed as a result of the Maslov dequantization applied to 'traditional' mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.
Detail Book of Tropical and Idempotent Mathematics PDF
- Author : Grigoriĭ Lazarevich Litvinov
- Release : 22 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821847824
- Genre : Mathematics
- Total Page : 395 pages
- Language : English
- PDF File Size : 19,5 Mb
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