Download e-book for kindle: Theoretische Mechanik: Analysis der Bewegung - eine by Achim Feldmeier

By Achim Feldmeier

ISBN-10: 3642377173

ISBN-13: 9783642377174

Nur selten gelangt NATURBESCHREIBUNG als mathematische Erfassung realer Vorgaenge zu solcher Einheit wie in der Mechanik. Newtons Axiom F=ma fuer den Massenpunkt entfaltet sich zu den Euler-Lagrangeschen und Hamiltonschen Bewegungsgleichungen und schliesslich zum Liouvilleschen Satz fuer den Phasenraumfluss. Die parallele Entwicklung in der Mathematik fuehrt von der research im R^3 ueber die Variationsrechnung zu differenzierbaren Mannigfaltigkeiten.

 

Das Buch gliedert diese Theorie in ueberschaubare formale Schritte -- jedes Argument ist kuerzer als eine Textzeile -- und versucht durch dieses "formelhafte" Vorgehen das Erlernen des Stoffs zu erleichtern.

 

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Theoretische Mechanik: Analysis der Bewegung - eine physikalisch-mathematische Einführung (German Edition) by Achim Feldmeier


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