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Analysis, probability and mathematic...

Ruiz, Patricia Alonso.

Analysis, probability and mathematical physics on fractals

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analysis, probability and mathematical physics on fractalseditor, Patricia Alonso Ruiz ... [et al.].
其他作者:	Ruiz, Patricia Alonso.
出版者:	Singapore :World Scientific,c2020.
面頁冊數:	1 online resource (xix, 573 p.)
標題:	Fractals.
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/11696#t=toc
ISBN:	9789811215537$q(ebook)

Analysis, probability and mathematical physics on fractals
Analysis, probability and mathematical physics on fractals[electronic resource] /editor, Patricia Alonso Ruiz ... [et al.]. - 1st ed. - Singapore :World Scientific,c2020. - 1 online resource (xix, 573 p.) - Fractals and dynamics in mathematics, science, and the arts : theory and applications,v. 52382-6320 ;. - Fractals and dynamics in mathematics, science, and the arts : theory and applications ;v. 5..

Includes bibliographical references and index.

"In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature? This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results"--Publisher's website.

Mode of access: World Wide Web.

ISBN: 9789811215537$q(ebook)Subjects--Topical Terms:

182287
Fractals.

LC Class. No.: QA614.86 / .A53 2020

Dewey Class. No.: 514/.742

Analysis, probability and mathematical physics on fractals
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245 0 0 $a Analysis, probability and mathematical physics on fractals $h [electronic resource] / $c editor, Patricia Alonso Ruiz ... [et al.].
250 $a 1st ed.
260 $a Singapore : $b World Scientific, $c c2020.
300 $a 1 online resource (xix, 573 p.)
490 1 $a Fractals and dynamics in mathematics, science, and the arts : theory and applications, $x 2382-6320 ; $v v. 5
504 $a Includes bibliographical references and index.
520 $a "In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature? This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results"--Publisher's website.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Description based on print version record.
650 0 $a Fractals. $3 182287
650 0 $a Fractal analysis. $3 675575
700 1 $a Ruiz, Patricia Alonso. $3 902661
830 0 $a Fractals and dynamics in mathematics, science, and the arts : theory and applications ; $v v. 5. $3 902662
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/11696#t=toc