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Computational Physics : With Worked Out Examples in FORTRAN and MATLAB
Bestehorn, Michael, 1957Berlin ; Boston : De Gruyter, [2018]Drawing on examples from various areas of physics, this textbook introduces the reader to computerbased physics using Fortran® and Matlab®. It elucidates a broad palette of topics, including fundamental phenomena in classical and quantum mechanics, hydrodynamics and dynamical systems, as well as effects in field theories and macroscopic pattern formation described by (nonlinear) partial differential equations. A chapter on Monte Carlo methods is devoted to problems typically occurring in statistical physics. ContentsIntroduction Nonlinear maps Dynamical systems Ordinary differential equations I Ordinary differential equations II Partial differential equations I, basics Partial differential equations II, applications Monte Carlo methods (MC) Matrices and systems of linear equations Program library Solutions of the problems README and a short guide to FEtoolsDrawing on examples from various areas of physics, this textbook introduces the reader to computerbased physics using Fortran (R) and Matlab (R). It elucidates a broad palette of topics, including fundamental phenomena in classical and quantum mechanics, hydrodynamics and dynamical systems, as well as effects in field theories and macroscopic pattern formation described by (nonlinear) partial differential equations. A chapter on Monte Carlo methods is devoted to problems typically occurring in statistical physics. Contents Introduction Nonlinear maps Dynamical systems Ordinary differential equations I Ordinary differential equations II Partial differential equations I, basics Partial differential equations II, applications Monte Carlo methods (MC) Matrices and systems of linear equations Program library Solutions of the problems README and a short guide to FEtools.
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Engineering mechanics
Yi, Ping[Place of publication not identified] : EDP Sciences & Science Press, [2022]Engineering mechanics provides the theories and methods of describing and predicting the state of equilibrium or accelerated motion of particles or rigid bodies under the action of forces. It consists of three parts: statics (chapters 15), kinematics (chapters 6 and 7) and kinetics (chapters 810) and it is basically corresponding to the course of "theoretical mechanics" in China. It is hoped that this book will help to develop in engineering students the correct understanding of the principles of mechanics and the ability to analyze and solve engineering problems using the principles. This book can be used as a teaching material for civil engineering, hydraulic engineering, mechanical engineering, aerospace, transportation and other engineering majors in colleges and universities, and as a selfstudy book for relevant technical personnel.

Rigid Body Dynamics
Borisov, AlexeyBerlin ; Boston : De Gruyter, [2018]This book provides an uptodate overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler  Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré  Zhukovskii, and FourDimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and LA Pair for the Generalized Goryachev  Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau  Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Selfgravitating Fluid and Gas EllipsoidsThis book provides an uptodate overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler  Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincare  Zhukovskii, and FourDimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and LA Pair for the Generalized Goryachev  Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau  Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Selfgravitating Fluid and Gas Ellipsoids.
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