Polynomial Root-finding And Polynomiography
Seiten
2008
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-059-9 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-059-9 (ISBN)
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This book offers fascinating and modern perspectives into the theory and practice of the historical subject of polynomial root-finding, rejuvenating the field via polynomiography, a creative and novel computer visualization that renders spectacular images of a polynomial equation. Polynomiography will not only pave the way for new applications of polynomials in science and mathematics, but also in art and education. The book presents a thorough development of the basic family, arguably the most fundamental family of iteration functions, deriving many surprising and novel theoretical and practical applications such as: algorithms for approximation of roots of polynomials and analytic functions, polynomiography, bounds on zeros of polynomials, formulas for the approximation of Pi, and characterizations or visualizations associated with a homogeneous linear recurrence relation. These discoveries and a set of beautiful images that provide new visions, even of the well-known polynomials and recurrences, are the makeup of a very desirable book.
This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.
This book is a must for mathematicians, scientists, advanced undergraduates and graduates, but is also for anyone with an appreciation for the connections between a fantastically creative art form and its ancient mathematical foundations.
Verlagsort | Singapore |
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Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
ISBN-10 | 981-270-059-5 / 9812700595 |
ISBN-13 | 978-981-270-059-9 / 9789812700599 |
Zustand | Neuware |
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Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95