An Invitation to Fractal Geometry – Fractal Dimensions, Self–Similarity, and Fr…
An Invitation to Fractal GeometryFractal Dimensions, Self-Similarity, and Fractal Curves\nAuthor(s): Michel L. Lapidus, Goran Radunovic\nFormat: Hardback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470476236, 978-1470476236\nSynopsis\nThis book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisites beyond a solid foundation in undergraduate mathematics. While fractal geometry may seem esoteric, this book demystifies it by providing a thorough introduction to its mathematical underpinnings and applications. Complete proofs are provided for most of the key results, and exercises of different levels of difficulty are proposed throughout the book. Key topics covered include the Hausdorff metric, Hausdorff measure, and fractal dimension.
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