History of Physics
H. Iro, Klassische Mechanik, Universitätsverlag R.
Trauner, Linz 1996 (3. Auflage)
The main intention of the
book is the application of the notions of stability, first integrals and
chaotic behaviour right from the beginning to the solutions of Newtons
equations for model systems: pendulum, harmonic oscillator, 1dimensional
nonlinear oscillator, Hénon-Heiles system, 1/r potential (Runge-Lenz vector).
Besides the usual topics (Kepler problem, rigid body, small oscillations,
Lagrangian description, Hamiltons principle, canonical transformations) some
systems are considered which are not so familiar: a particle in a constant
magnetic field together with an 1/r-potential, 2 centers problem, constrained
3 body system (The latter is used to illustrate the question of the stability
of the solar system). All these systems are either integrable or chaotic. The
conditions for the integrability of a Hamiltonian system lead to
Hamilton-Jacobi theory and to canonical perturbation theory ("large
denominators", Kolmogorov-Arnold-Moser theorem). |
|
|
H. Iro, Klassichna Mechanika, Lviv national university, Lviv 1999 Revised and enlarged Ukrainian edition; translated by R. Gaida and Yu. Holovatch |
H.
Iro, A Modern
Approach to Classical Mechanics, World Scientific, Singapore 2003 Revised and enlarged
English edition |
"Auf
den Schulter von Giganten" in "Von den Planetentheorien
zur Himmelsmechanik", ed. F. Pichler, Universitätsverlag R. Trauner, Linz
2004
"Über
die Entstehung der analytischen Mechanik" in "Von
Newton zu Gauss", ed. F. Pichler and M. v. Renteln, Universitätsverlag R.
Trauner, Linz 2006
"Eulers analytische Mechanik" (2007) in “Leonhard Euler, Mathematiker – Mechaniker – Physiker“, ed. G. Biegel, A. Klein und T. Sonar, Braunschweigisches Landesmuseum, Braunschweig 2008
"Die Wirkung von Newtons Principia in Frankreich", in “Kosmisches Wissen von Peuerbach bis Laplace” (Peuerbach Symposium, September 2008), ed. F. Pichler and M. von Renteln, Universitätsverlag R. Trauner, Linz 2009
“On the evolution of Modern Sciences”, 2009, to
be published
"Why not just integrate Newtons second law numerically?"
, "Svit Phisiki" (World of Physics) 2, 1 (2000), talk given at
the presentation of the Ukrainian edition of the book in Lviv, Feb. 22, 2000.
"On the development of analytical mechanics",
talk given at the Institute for Condensed Matter Physics in Lviv (
"The emergence of Modern Science from Philosophy",
talk given in an interdisciplinary seminar at the
"Die
Eulersche Mechanik", Kepler Symposium, Linz, May 23,
2007
"Bodies, particles, and corpuscles in Newton's
Principia",
presented at the 3rd International Conference of the European
Society for the History of Science,
"Decretis
nos obsequi profitemur - Wir gehorchen den Edikten [des Papstes]",
presented at the meeting of the Austrian Physical Society in Leoben, September
2008
“Zum Konzept der
Kohäsion”, to be presented at the meeting of the Austrian Physical
Society in
"Let Newton
be" (PowerPoint)
The slide show (in German)
about
·
Classical Mechanics
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Electrodynamics
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Quantum Mechanics
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Thermodynamics and
Statistics
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Theoretical Physics for
Mathematicians
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Theoretical Physics,
parts II and III (Teachers curriculum)
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Theory of Relativity
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Atomic Physics
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Advanced Quantum
Mechanics
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Quantum Field Theory
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Dynamical Critical
Phenomena
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Magnetism
Lecture on the History of Analytical Mechanics (in German)
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email: harald.iro@jku.at
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modified: 13.1.2010 by: herald.iro@jku.at