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Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the
Autor:
Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Evan Maletsky, Terry Perciante, Lee Yunker
The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional activities for this second volume. Fractals provide a setting wherein students can enjoy hands-on ex
Autor:
Hartmut Jürgens, Dietmar Saupe
Das Buch gibt einen Querschnitt durch das Spektrum der Anwendungen der Computergraphik in Mathematik und Naturwissenschaften. Dabei werden auch neue computergraphische Algorithmen, komplexe Anwenderpakete und sogar Hardwarelösungen diskutiert. Die B
Autor:
Dietmar Saupe, Hartmut Jürgens
Publikováno v:
Introduction to Numerical Continuation Methods. :326-345
Autor:
Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Evan Maletsky, Terry Perciante, Lee Yunker
There are many reasons for writing this first volume of strategic activities on fractals. The most pervasive is the compelling desire to provide students of mathematics with a set of accessible, hands-on experiences with fractals and their underlying
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the
Publikováno v:
International Journal of Bifurcation and Chaos. :527-549
This paper is a continuation of Gerling et al. [1997] and investigates the periodic structure of a specific area-preserving homeomorphism which is generated by the finite difference approximation for a nonlinear boundary value problem. Moreover, thes
Publikováno v:
Scientific American. 263:60-67
The pathological structures conjured up by 19th-century mathematicians have, in recent years, taken the form of fractals, mathematical figures that have fractional dimension rather than the integral dimensions of familiar geometric figures (such as o
Publikováno v:
Chaos and Fractals ISBN: 9781468493962
Having discussed the phenomena of chaos and the routes leading to it in ‘simple’ one-dimensional settings, we continue with the exposition of chaos in dynamical systems of two or more dimensions. This is the relevant case for models in the natura
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71cc4ba04d8eacb91ce3f06f21922b8b
https://doi.org/10.1007/0-387-21823-8_13
https://doi.org/10.1007/0-387-21823-8_13
Publikováno v:
Chaos and Fractals ISBN: 9781468493962
When we think about fractals as images, forms or structures we usually perceive them as static objects. This is a legitimate initial standpoint in many cases, as for example if we deal with natural structures like the ones in figures 1.1 and 1.2.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0499fb7ceade3d446d808983e2b9e9f2
https://doi.org/10.1007/0-387-21823-8_2
https://doi.org/10.1007/0-387-21823-8_2