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Achim Feldmeier

    Theoretische Mechanik
    Theoretical Fluid Dynamics
    Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem
    • 2022

      The book offers a clear, structured guide to Arnold's classical proof of the Kolmogorov-Arnold-Moser (KAM) Theorem, making complex mathematical concepts accessible to readers. It breaks down the theorem's significance in dynamical systems and provides detailed explanations to enhance understanding. The step-by-step approach ensures that both students and enthusiasts can grasp the intricacies of the theorem and its applications in various fields.

      Introduction to Arnold's Proof of the Kolmogorov-Arnold-Moser Theorem
    • 2020

      Theoretical Fluid Dynamics

      • 588 pages
      • 21 hours of reading

      Focusing on analytical solutions in fluid dynamics, this textbook explores various flow phenomena including individual vortices, vortex streets, and wakes. It delves into topics such as accretion disks, shallow water waves, and both linear and non-linear free-surface waves. The book also covers capillary waves, internal gravity waves, and shock waves, providing a comprehensive introduction to the principles and applications of fluid dynamics in these specific contexts.

      Theoretical Fluid Dynamics