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Dynamical Systems V

Dynamical Systems V

V. I. Arnold; V.S. Afrajmovich; Yu.S Ilyashenko; L.P. Shil'nikov

Springer-Verlag Berlin and Heidelberg GmbH Co. K
1994
sidottu
Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.
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V Hotine-Marussi Symposium on Mathematical Geodesy

V Hotine-Marussi Symposium on Mathematical Geodesy

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2004
sidottu
Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.
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Dynamical Systems V

Dynamical Systems V

V.I. Arnold; V.S. Afrajmovich; Yu.S. Il'yashenko; L.P. Shil'nikov

Springer-Verlag Berlin and Heidelberg GmbH Co. K
1999
nidottu
Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.
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V.A. Huber, S. Imanuel Und Die Formationsphase Der Deutschen Anglistik

V.A. Huber, S. Imanuel Und Die Formationsphase Der Deutschen Anglistik

Renate Haas

Peter Lang AG
1990
sidottu
Trotz der weitreichenden Bedeutung des Englischen und englischsprachigen Schrifttums unterschiedlichster Art wurden englische Studien in Deutschland erst sehr spat - Jahrzehnte nach der Germanistik und Romanistik - als eigenstandige Wissenschaft etabliert. Paradoxerweise errangen sie diese Anerkennung als enge Philologie, die in grosser Einseitigkeit auf die alte Literatur und speziell die altesten Sprachstufen ausgerichtet war. Anhand zweier exemplarischer Vertreter untersucht die vorliegende Studie diese Entwicklung und ihre Grunde nicht nur eingehend im Kontext der Nachbardisziplinen, sondern im grossen Rahmen der Allgemein-, Wissenschafts- und Bildungsgeschichte."
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