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Topological Data Analysis for Economics and Finance

Topological Data Analysis for Economics and Finance

Paperback

General Mathematics

ISBN10: 6630257723
ISBN13: 9786630257724
Publisher: LAP Lambert Academic Publishing
Published: Aug 10 2026
Pages: 176
Weight: 0.54
Height: 0.41 Width: 6.00 Depth: 9.00
Language: English
Topological Data Analysis for Economics and Finance introduces the mathematical ideas, computational methods and practical uses of topological data analysis for understanding complex economic and financial systems. It explains how the shape of data, including connected components, cycles and voids, can reveal fragmentation, feedback, contagion and structural change that averages, correlations and conventional models may overlook. The book develops the subject from set theory, linear algebra, real analysis and topology to simplicial complexes, homology, Betti numbers, persistent homology, persistence diagrams and the Mapper algorithm. It also presents algorithms, statistical inference, robustness testing and reproducible Python workflows. Applications cover digital-currency interoperability, financial-market instability, international trade networks, migration systems, banking crises and housing-market bubbles. Definitions, proofs, worked examples, exercises, solutions, code, notation tables and reporting guidance make the book a teaching resource and practical reference for students, researchers, analysts and policymakers.

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General Mathematics