Classical mechanics

This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research.

This book begins with an introduction on continuum mechanics and a derivation of the linear partial differential equations for sound waves in fluids and elastic waves in solids.

This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions.

This book presents applications to several fluid dynamics problems in both the bounded and unbounded domains in the framework of the discrete velocity models of kinetic theory.

Given a conservative dynamical system of classical physics, how does one find a variational principle for it?

The material for these volumes has been selected from the past twenty years' examination questions for graduate students at the University of California (Berkeley), Columbia University, the University of Chicago, MIT, State University of New York at Buffalo, Princeton University and the University of Wisconsin.

The book covers the fundamentals of the mechanics of multibody systems, i.

This book is intended for first year physics graduate students who wish to learn about analytical mechanics.

This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical.

The 1952 Nobel physics laureate Felix Bloch (1905-83) was one of the titans of twentieth-century physics.

This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid.

This book covers the basics of the hydrodynamics and vibration of structures subjected to environmental loads.

This book is intended as an introductory textbook for graduate students and as a reference book for engineers and scientists working in the field of coastal engineering.

Orbital motion is a vital subject which has engaged the greatest minds in mathematics and physics from Kepler to Einstein.

An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are derived.

This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples.

This book provides a calculus-based perspective on classical mechanics and the theory of relativity.

This manual provides solutions to the problems given in the second edition of the textbook entitled An Introduction to the Physics of Particle Accelerators.

Electrodynamics is a basic area of physics, encompassing also classical and quantum physics, optics, relativity and field theory, and is of universal practical importance.

This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent.

This textbook offers readers an introduction to fracture mechanics, equipping them to grasp the basic ideas of the presented approaches to modeling in applied mechanicsIn the first part, the book reviews and expands on the classical theory of elastic and elasto-plastic material behavior.

This book is primarily intended to enable postgraduate research students to enhance their understanding and expertise in Fluid Mechanics and Magnetohydrodynamics (MHD), subjects no longer treated in isolation.

The aim of this handbook is to summarize the recent development in the topic of ultrasonics and sonochemistry, especially in the areas of functional materials and processing applications.

The book consists of two separate parts, the first part is on waves and the second part on particles.

This book highlights a systematic introduction to the basic theory of elastic wave propagation in complex media.

This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.

This book provides a comprehensive introduction to the analysis of functionally graded materials and structures.

This book derives physical models from basic principles, studies the effect of equivalent models on the dynamic characteristics of phononic crystals and acoustic metamaterials, and analyzes the physical mechanisms behind vibration and noise reduction.

This book gathers a selection of peer-reviewed papers presented at the 3rd International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2021), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on October 11-12, 2021.

This book highlights the failure theories and evaluation techniques of thermal barrier coatings, covering the thermal-mechanical-chemical coupling theories, performance and damage characterization techniques, and related evaluations.

This book highlights a comprehensive description of the numerical methods in rarefied gas dynamics, which has strong applications ranging from space vehicle re-entry, micro-electromechanical systems, to shale gas extraction.

This book highlights the importance of sound produced by fluid flow or flow-induced noise.

This book includes problems based on the material in the course of physical kinetics for the students of general and applied physics.

This book highlights the advantages of the vector-phase method in underwater acoustic measurements and presents results of theoretical and experimental studies of the deep open ocean and shallow sea based on vector-phase representations.

This book highlights the theories and applications of quantum acoustical imaging which can be considered as a part of quantum technology.

This textbook for courses in gas dynamics will be of interest to students and teachers in aerospace and mechanical engineering disciplines.

This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering.

This book summarizes the basics of electricity and magnetism prior to covariant formulation of Maxwell's equations.

This book first introduced the theoretical foundation of nonlinear acoustics such as the basic equations of nonlinear acoustics followed by a statistical mechanics approach to nonlinear acoustics, then a curvilinear spacetime approach to nonlinear acoustics, then a gauge invariance approach to nonlinear acoustics, and application of chaos theory to nonlinear acoustics.

This book is intended to provide a compilation of the state-of-the-art numerical methods for nonlinear fluid-structure interaction using the moving boundary Lagrangian-Eulerian formulation.

This book introduces the latest advances in modular robotics, and presents a unified geometric framework for modeling, analysis, and design of modular robots, including kinematics, dynamics, calibration, and configuration optimization.

This proceedings book includes a selection of refereed papers presented at the International Conference on Modern Mechanics and Applications (ICOMMA) 2020, which took place in Ho Chi Minh City, Vietnam, on December 2-4, 2020.

This book highlights time reversal acoustics, techniques based on the symmetry properties of acoustic fields.

This book introduces readers to the shell structure, operating principle, manufacturing process, and control theory for cylindrical vibratory gyroscopes.

This book provides a comprehensive introduction to the analysis of functionally graded materials and structures.

Competition for energy resources worldwide will almost certainly increase because of population growth and economic expansion, especially in countries such as China and India, with large populations.

This is the first book which systematically describes an integral approach on dimensional analysis.

This book gathers a selection of peer-reviewed papers presented at the 2nd International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2020), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on 13-14 October 2020.

This book offers a clear and comprehensive overview of both the theory and application of fundamental aspects of concrete-filled double steel tubes (CFDST).