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Klassische Mechanik und Chaos: Buch 1 der Physik aus maximaler Informationsemanation

Klassische Mechanik und Chaos: Buch 1 der Physik aus maximaler Informationsemanation

          
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About the Book

Dieses Buch bietet eine Beschreibung der klassischen Mechanik, beginnend mit den klassischen Formulierungen der Punktpartikelbewegung. Erst als die klassische Mechanik bereits gut etabliert war, wurde erkannt, dass es in vielen Systemen zwei Bewegungsbereiche gibt: nicht chaotisch und chaotisch. Dies ist eine moderne Darstellung der klassischen Mechanik, die somit auch die Chaostheorie und Verbindungen zu späteren theoretischen Entwicklungen einschließt. Die Darstellung besteht durchgehend aus der Präsentation interessanter Probleme, von denen viele gelöst sind und die anderen dem Leser überlassen bleiben. Die Probleme stammen aus Kursen zur klassischen Mechanik und Mathematik, die am Caltech, in Oxford und an der University of Wisconsin belegt wurden. Die Kurse reichen vom Grundstudium bis zum fortgeschrittenen Graduiertenniveau. Die Kurse hatten, wie zu erwarten, eine reichhaltige und anspruchsvolle Auswahl an Lehrbüchern und Referenzmaterial, und diese Referenztexte werden hier ebenfalls herangezogen. Während wir das Material durcharbeiten, werden wir sehen, dass wir tatsächlich gewöhnliche Differentialgleichungen (ODEs) von zunehmender Komplexität studieren (die beispielsweise einer komplizierteren Pendelbewegung entsprechen, etwa durch Hinzufügen einer Reibungskraft). Diese starke Ausrichtung an der den ODEs zugrunde liegenden Mathematik begründet die Platzierung eines Anhangs für einen kurzen Überblick über ODEs aus der Perspektive der angewandten Mathematik. Neben einer modernen Darstellung der zugrunde liegenden ODE-Theorie, einschließlich Chaos, sollen die anderen modernen Hauptelemente zeigen, wo die Theorie der klassischen Mechanik eine Brücke zu künftigen Theorien wie der Quantenmechanik und der speziellen Relativitätstheorie schlagen kann. Es gibt fünf theoretische Implementierungsbereiche der klassischen Mechanik, in denen die Quantenmechanik trivial angezeigt ist (durch analytische Erweiterung/Fortsetzung oder durch algebraische Modifikation von abelsch zu nichtabelsch), und solche Bereiche werden ausführlich beschrieben. Ebenso gibt es drei Bereiche experimenteller Anwendung, in denen die spezielle Relativitätstheorie angezeigt ist und die ebenfalls beschrieben werden.


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Product Details
  • ISBN-13: 9798988816058
  • Publisher: Lulu Press
  • Publisher Imprint: Golden Tao Publishing
  • Height: 229 mm
  • No of Pages: 296
  • Spine Width: 18 mm
  • Weight: 566 gr
  • ISBN-10: 8988816056
  • Publisher Date: 25 May 2024
  • Binding: Hardback
  • Language: German
  • Returnable: N
  • Sub Title: Buch 1 der Physik aus maximaler Informationsemanation
  • Width: 152 mm

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