This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics…mehr
This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibrationspectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.
Reinhard Hentschke holds a Diplom from the University of Osnabrück (1983) and a Ph.D. in Physics from the University of Maine, USA (1987). He acquired expertise relevant to the proposed book as a postdoc at Brandeis University, USA (1987-1990), working on the theory of reversibly assembling polymers, and as a staff scientist at the Max Planck Institute for Polymer Research (1990-1999), specializing on computer simulation of polymers. Since 1999 he is a professor of physics at the University of Wuppertal, where he had frequent polymer related collaborations with industry partners - most notably a collaboration, spanning 15 years, with the materials development department of the Continental Reifen GmbH. He is the (co)author of four textbooks: RH, Statistische Mechanik, Wiley-VCH, 2004; RH Thermodynamics, Springer, Undergraduate Lecture Notes in Physics, 2014 (1st ed.), 2022 (2nd ed.); RH, Classical Mechanics, Springer, Undergraduate Lecture Notes in Physics, 2017; RH, Christian Hölbling, A Short Course in General Relativity and Cosmology, Undergraduate Lecture Notes in Physics, 2020.
Inhaltsangabe
Mathematical Tools.- Laws of Mechanics.- Least Action for One Coordinate.- Principle of Least Action.- Integrating Equations of Motion.- Rigid-Body Motion.- Canonical Mechanics.- Many-Particle Mechanics.- Theory of Elasticity.
Mathematical Tools.- Laws of Mechanics.- Least Action for One Coordinate.- Principle of Least Action.- Integrating Equations of Motion.- Rigid-Body Motion.- Canonical Mechanics.- Many-Particle Mechanics.- Theory of Elasticity.
Rezensionen
"This textbook on classical mechanics is intended for physics students, who encounter the subject as a part of their undergraduate curriculum in theoretical physics. However it could be used in Mechanics courses for Engineering students as well. ... I stress that the book is a welcome addition to the textbooks on Classical Mechanics and I strongly recommend it for Physics and Engineering students." (Teodor Atanackovic, zbMATH 1364.70002, 2017)
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