Classical Mechanics

Including an Introduction to the Theory of Elasticity

Reinhard Hentschke (Autor)

Buch | Softcover

X, 380 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-48709-0 (ISBN)

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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 vibration spectroscopy. 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 studied physics at the University of Osnabrück, Germany. He received his Ph.D. from the University of Maine, USA, with a thesis entitled "Application of Conformal Invariance to the Investigation of Second Order Surface Phase Transitions". After a stay as a visiting scientist at the Department of Chemistry, Baker Laboratory, Cornell University, he worked as a postdoc at the Department of Chemistry, Brandeis University. Returning to Germany he joined the Max-Planck Institute for Polymer Research as a staff scientist. After obtaining his Habilitation in Physical Chemistry at the Department of Chemistry, Gutenberg University, Mainz, he moved to Wuppertal, where he is a professor in Physics at the Bergische Universität. His research interests have frequently straddled the boundary between physics and chemistry. Early work as a Diplom and Ph.D. student has focused on surface physics, dealing with topics in molecule/ion-surface collisions and surface phase transitions. During his postdoctoral years the focus shifted to theoretical physical chemistry of reversible molecular aggregation as found in micellar and protein systems and the attendant liquid crystalline phase behavior. As a scientist at the Max-Planck Institute for Polymer Research he has concentrated on computer modelling of polymers. Subsequent work has been a synthesis of these earlier fields. His group has concentrated on (a) the theoretical investigation of sorption in polymer networks, using computer simulation methods and lattice theory; (b) reversible self-assembly and phase behavior of equilibrium polymers, using again a combination of computer simulation and analytical theory; (c) dielectric properties in conjunction with the structural phase behavior of dipolar fluids; (d) the development of computer algorithms for molecular modelling. Recently he has become interested in theoretical problems encountered in elastomer technology.

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.

"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)

Erscheinungsdatum	20.01.2017
Reihe/Serie	Undergraduate Lecture Notes in Physics
Zusatzinfo	X, 380 p. 84 illus., 5 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Themenwelt	Technik ► Maschinenbau
Schlagworte	Canonical Mechanics • classical mechanics • Dynamic Mechanical Analysis • elasticity theory • Equations of motion • Finite Element Method • Laws of Mechanics • Many-Particle Mechanics • Mathematical Physics • mechanics of solids • Mechanics textbook • Molecular Dynamics Simulation • normal mode analysis • Numerical and Computational Physics, Simulation • Physics • Physics and Astronomy • Rotation Curve • Sling-Shot Effect • Stability Analysis • Storage Modulus • Theoretical and Applied Mechanics
ISBN-10	3-319-48709-4 / 3319487094
ISBN-13	978-3-319-48709-0 / 9783319487090
Zustand	Neuware