Huygens and Barrow, Newton and Hooke

Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals

Author: Vladimir I. Arnold

Publisher: Birkhäuser

ISBN: 3034891296

Category: Mathematics

Page: 118

View: 8252

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Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.

Analysis 1

Author: V. A. Zorich

Publisher: Springer-Verlag

ISBN: 3540332782

Category: Mathematics

Page: 598

View: 9928

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Ausführlicher Einblick in die Anfänge der Analysis: von der Einführung der reellen Zahlen bis hin zu fortgeschrittenen Themen wie Differentialformen auf Mannigfaltigkeiten, asymptotische Betrachtungen, Fourier-, Laplace- und Legendre-Transformationen, elliptische Funktionen und Distributionen. Ausgerichtet auf naturwissenschaftliche Fragestellungen und in detaillierter Herangehensweise an die Integral- und Differentialrechnung. Mit einer Fülle hilfreicher Beispiele, Aufgaben und Anwendungen. In Band 1: vollständige Übersicht zur Integral- und Differentialrechnung einer Variablen, erweitert um die Differentialrechnung mehrerer Variablen.

Mathematische Physik: Klassische Mechanik

Author: Andreas Knauf

Publisher: Springer-Verlag

ISBN: 3662557762

Category: Science

Page: 652

View: 3440

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Als Grenztheorie der Quantenmechanik besitzt die klassische Dynamik einen großen Formenreichtum – vom gut berechenbaren bis zum chaotischen Verhalten. Ausgehend von interessanten Beispielen wird in dem Band nicht nur eine gelungene Auswahl grundlegender Themen vermittelt, sondern auch der Einstieg in viele aktuelle Forschungsgebiete im Bereich der klassischen Mechanik. Didaktisch geschickt aufgebaut und mit hilfreichen Anhängen versehen, werden lediglich Kenntnisse der Grundvorlesungen in Mathematik vorausgesetzt. Mit über 100 Aufgaben und Lösungen.

The Unreasonable Effectiveness of Number Theory

Author: Stefan Andrus Burr,American Mathematical Society. Short Course, (,George E. Andrews

Publisher: American Mathematical Soc.

ISBN: 9780821855010

Category: Mathematics

Page: 125

View: 5268

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This book is based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991. This Short Course provided some views into the great breadth of applications of number theory outside cryptology and highlighted the power and applicability of number-theoretic ideas. Because number theory is one of the most accessible areas of mathematics, this book will appeal to a general mathematical audience as well as to researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics. All of the chapters are written by leading specialists in number theory and provides excellent introduction to various applications.

Optimization

Insights and Applications

Author: Jan Brinkhuis,Vladimir Tikhomirov

Publisher: Princeton University Press

ISBN: 9781400829361

Category: Mathematics

Page: 680

View: 7921

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This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.

ZAMM

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Engineering

Page: N.A

View: 7958

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Vols. 41-44, 46-50 include Sonderheft: Vorträge der wissenschaftlichen Jahrestagung der Gesellschaft für Angewandte Mathematik und Mechanik (v. 44, Vorträge der Tagung für Angewandte Mathematik und Mechanik); vol. 51 (1972)- include Vortrage der wissenschaftlichen Jahrestagung der Gesellschaft fur Angewandte Mathematik und Mechanik as a numbered issue.

Chaos, Gaia, Eros

A Chaos Pioneer Uncovers the Three Great Streams of History

Author: Ralph Abraham

Publisher: Harper San Francisco

ISBN: N.A

Category: Philosophy

Page: 263

View: 2252

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A modern philosophy suggests that there are three main forces working to shape our lives

Spirals

from Theodorus to chaos

Author: Philip J. Davis,Walter Gautschi,A. Iserles

Publisher: A K Peters Ltd

ISBN: N.A

Category: Mathematics

Page: 237

View: 6945

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Choice

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 9637

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