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Dynamics of Entire Functions
The Fractal Sets of Julia and Mandelbrot
Taschenbuch von Cándido Piñeiro
Sprache: Englisch

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Beschreibung
There are very few systematic books on the dynamics of entire functions. Unfortunately, reading these books is often difficult for non-specialists since their proofs are not clearly written, and readers struggle to understand the arguments fully. This book is a comprehensive introduction to the iteration theory of entire complex functions. It is intended to introduce the reader to the key topics in the field and to form a basis for further study. In general, the proofs are more detailed; therefore, the book will also help non-specialist mathematicians become acquainted with complex dynamics. In no sense is this manuscript a complete account of the subject. Nevertheless, the book may also be helpful to young researchers in this field before they tackle more specific works. The book deals with three possible aspects: theory, practice, and computer graphics. In Appendix C, we explained the necessary rudiments of MATLAB RGB images to create computer graphics of different sets considered in the book, such as the sets of Julia and Mandelbrot. In this Appendix, a gallery is also included where beautiful and spectacular images are shown. The author has obtained all these images using MATLAB, most of which are revealed here for the first time.
There are very few systematic books on the dynamics of entire functions. Unfortunately, reading these books is often difficult for non-specialists since their proofs are not clearly written, and readers struggle to understand the arguments fully. This book is a comprehensive introduction to the iteration theory of entire complex functions. It is intended to introduce the reader to the key topics in the field and to form a basis for further study. In general, the proofs are more detailed; therefore, the book will also help non-specialist mathematicians become acquainted with complex dynamics. In no sense is this manuscript a complete account of the subject. Nevertheless, the book may also be helpful to young researchers in this field before they tackle more specific works. The book deals with three possible aspects: theory, practice, and computer graphics. In Appendix C, we explained the necessary rudiments of MATLAB RGB images to create computer graphics of different sets considered in the book, such as the sets of Julia and Mandelbrot. In this Appendix, a gallery is also included where beautiful and spectacular images are shown. The author has obtained all these images using MATLAB, most of which are revealed here for the first time.
Details
Erscheinungsjahr: 2025
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: XIV
204 S.
13 s/w Illustr.
28 farbige Illustr.
13 b/w and 28 col. ill.
ISBN-13: 9783111689432
ISBN-10: 3111689433
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Piñeiro, Cándido
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 13 b/w and 28 col. ill.
Maße: 12 x 170 x 240 mm
Von/Mit: Cándido Piñeiro
Erscheinungsdatum: 21.04.2025
Gewicht: 0,374 kg
Artikel-ID: 132459945
Details
Erscheinungsjahr: 2025
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: XIV
204 S.
13 s/w Illustr.
28 farbige Illustr.
13 b/w and 28 col. ill.
ISBN-13: 9783111689432
ISBN-10: 3111689433
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Piñeiro, Cándido
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 13 b/w and 28 col. ill.
Maße: 12 x 170 x 240 mm
Von/Mit: Cándido Piñeiro
Erscheinungsdatum: 21.04.2025
Gewicht: 0,374 kg
Artikel-ID: 132459945
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