Thierry Vialar Bücher

Covering a comprehensive range of mathematical topics, this book is structured into XI Parts and 28 Chapters, catering to students, professionals, and general readers alike. It includes foundational concepts, definitions, theorems, and proofs, supplemented by examples and illustrations. The content spans various difficulty levels, requiring varying degrees of attention. Key areas explored include Algebra, Geometry, Analysis, and Applied Mathematics, making it an invaluable resource for anyone interested in deepening their understanding of mathematics and science.

Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.