Classical mechanics Books
World Scientific Publishing Co Pte Ltd Principles Of Physics: From Quantum Field Theory
Book SynopsisThis book starts from a set of common basic principles to establish the formalisms in all areas of fundamental physics, including quantum field theory, quantum mechanics, statistical mechanics, thermodynamics, general relativity, electromagnetic field, and classical mechanics. Instead of the traditional pedagogic way, the author arranges the subjects and formalisms in a logical-sequential way, i.e. all the formulas are derived from the formulas before them. The formalisms are also kept self-contained. Most of the required mathematical tools are also given in the appendices. Although this book covers all the disciplines of fundamental physics, the book is concise and can be treated as an integrated entity. This is consistent with the aphorism that simplicity is beauty, unification is beauty, and thus physics is beauty. The book may be used as an advanced textbook by graduate students. It is also suitable for physicists who wish to have an overview of fundamental physics.Table of ContentsBasic Principles; Quantum Fields; Quantum Fields in Riemann Spacetime; Symmetry Breaking; Perturbative Field Theory; From Quantum Field Theory to Quantum Mechanics; Electromagnetic Field; Quantum Mechanics; Applications of Quantum Mechanics; Statistical Mechanics; Applications of Statistical Mechanics; General Relativity; Tensors; Functional Formula; Gaussian Integrals; Grassmann Algebra; Euclidean Representation; Some Useful Formulas; Jacobian; Geodesic Equation.
£61.75
World Scientific Publishing Co Pte Ltd Introduction To Lagrangian Mechanics, An (2nd
Book SynopsisAn 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. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.The Second Edition includes a larger selection of examples and problems (with hints) in each chapter and continues the strong emphasis of the First Edition on the development and application of mathematical methods (mostly calculus) to the solution of problems in Classical Mechanics.New material has been added to most chapters. For example, a new derivation of the Noether theorem for discrete Lagrangian systems is given and a modified Rutherford scattering problem is solved exactly to show that the total scattering cross section associated with a confined potential (i.e., which vanishes beyond a certain radius) yields the hard-sphere result. The Frenet-Serret formulas for the Coriolis-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new treatment of the sleeping-top problem is given.Table of ContentsThe Calculus of Variations; Lagrangian Mechanics; Hamiltonian Mechanics; Motion in a Central-Force Field; Collisions and Scattering Theory; Motion in a Non-Inertial Frame; Rigid Body Motion; Normal-Mode Analysis; Continuous Lagrangian Systems; Appendices: Basic Mathematical Methods; Elliptic Functions and Integrals; Noncanonical Hamiltonian Mechanics;
£76.95
World Scientific Publishing Co Pte Ltd Oscillator And Pendulum With A Random Mass
Book SynopsisStochastic descriptions of a harmonic oscillator can be obtained by adding additive noise, or/and three types of multiplicative noise: random frequency, random damping and random mass. The first three types of noise were intensively studied in many published articles. In this book the fourth case, that of random mass, is considered in the context of the harmonic oscillator and its immediate nonlinear generalization — the pendulum. To our knowledge it is the first book fully dedicated to this problem.Two interrelated methods, the Langevin equation and the Fokker-Planck equations, as well as the Lyapunov stability method are used for the mathematical analysis. After a short introduction, the two main parts of the book describe the different properties of the random harmonic oscillator and the random pendulum with random masses. As an example, the stochastic resonance is studied, where the noise plays an unusual role, increasing the applied weak periodic signal, and also the vibration resonance in dynamic systems, where the role of noise is played by the second high-frequency periodic signal.First and second averaged moments have been calculated for a system with different types of additive and multiplicative noises, which define the stability of a system. The calculations have been extended to two multiplicative noises and to quadratic noise. This book is useful for students and scientists working in different fields of statistical physics.Table of ContentsIntroduction; Oscillator with Random Mass; Pendulum with Random Mass;
£64.60
World Scientific Publishing Co Pte Ltd Waves And Rays In Elastic Continua (3rd Edition)
Book SynopsisThe present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.
£103.50
World Scientific Publishing Co Pte Ltd Wavefronts And Rays As Characteristics And
Book SynopsisThis textbook — incorporated with many illuminating examples and exercises — is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors' emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation — by a pure mathematician's standards — is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and phenomena such as caustics.Table of ContentsCharacteristic Equations of First-Order Linear Partial Differential Equations; Characteristic Equations of Second-Order Linear Partial Differential Equations; Characteristic Equations of First-Order Nonlinear Partial Differential Equations; Propagation of Discontinuities; Caustics;
£76.95
World Scientific Publishing Co Pte Ltd Waves And Rays In Seismology: Answers To Unasked
Book SynopsisNew Edition: Waves and Rays in Seismology (2nd Edition)'The book is self-contained; the appendices are very helpful. Anyone with some background in classical physics will be able to follow the developments in the book. Overall, I found the book to be an excellent read and I would recommend it to students and researchers in seismology.'The Leading EdgeThe author dedicates this book to readers who are concerned with finding out the status of concepts, statements and hypotheses, and with clarifying and rearranging them in a logical order. It is thus not intended to teach tools and techniques of the trade, but to discuss the foundations on which seismology — and in a larger sense, the theory of wave propagation in solids — is built. A key question is: why and to what degree can a theory developed for an elastic continuum be used to investigate the propagation of waves in the Earth, which is neither a continuum nor fully elastic. But the scrutiny of the foundations goes much deeper: material symmetry, effective tensors, equivalent media; the influence (or, rather, the lack thereof) of gravitational and thermal effects and the rotation of the Earth, are discussed ab initio. The variational principles of Fermat and Hamilton and their consequences for the propagation of elastic waves, causality, Noether's theorem and its consequences on conservation of energy and conservation of linear momentum are but a few topics that are investigated in the process to establish seismology as a science and to investigate its relation to subjects like realism and empiricism in natural sciences, to the nature of explanations and predictions, and to experimental verification and refutation.Table of ContentsScience of Seismology; Seismology and Continuum Mechanics; Seismology and Hookean Solids; Waves within Hookean Solids; Gravitational and Thermal Aspects in Seismology; Variational Principles; Seismology as Science;
£85.50
World Scientific Publishing Co Pte Ltd Lectures On Classical Mechanics
Book SynopsisThese lecture notes cover Classical Mechanics at the level of second-year undergraduates. The book offers comprehensive as well as self-contained material that can be taught in a one-semester course for students with the minimal background knowledge acquired in preuniversity education or in the usual first-year overview. The presentation does not skip the technical details which renders the book particularly well-suited for the self-studying student.Table of ContentsKinematics; Dynamics; Conservative Forces; Pair Forces; Two-Body Systems; Gravitating Mass Distributions; Variational Problems; Principle of Stationary Action; Small-Amplitude Oscillations; From Lagrange to Hamiltonian; Rigid Bodies; Earth-Bound Laboratories;
£77.90
World Scientific Publishing Co Pte Ltd Lectures On Classical Mechanics
Book SynopsisThese lecture notes cover Classical Mechanics at the level of second-year undergraduates. The book offers comprehensive as well as self-contained material that can be taught in a one-semester course for students with the minimal background knowledge acquired in preuniversity education or in the usual first-year overview. The presentation does not skip the technical details which renders the book particularly well-suited for the self-studying student.Table of ContentsKinematics; Dynamics; Conservative Forces; Pair Forces; Two-Body Systems; Gravitating Mass Distributions; Variational Problems; Principle of Stationary Action; Small-Amplitude Oscillations; From Lagrange to Hamiltonian; Rigid Bodies; Earth-Bound Laboratories;
£38.00
World Scientific Publishing Co Pte Ltd Modern Approach To Classical Mechanics, A
Book SynopsisIn this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.Table of ContentsBasic Considerations and Concepts; Fundamentals of Classical Mechanics; One-Dimensional Motion of a Particle; Encountering Peculiar Motion in Two Dimensions; Motion in a Central Force; The Gravitational Interaction of Two Bodies; Collisions of Particles; Scattering; Changing the Frame of Reference; Lagrangian Mechanics; Conservation Laws and Symmetries in Many Particle Systems; The Rigid Body; Small Oscillations; Hamilton's Canonical Formulation of Mechanics; Hamilton-Jacobi Theory; Three-body Systems; Approximating Non-Integrable Systems;
£95.40
World Scientific Publishing Co Pte Ltd Classical And Computational Solid Mechanics
Book SynopsisThe second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics.This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions.Table of ContentsIntroduction; Tensor Analysis; Stress Tensor; Analysis of Strain; Conservation Laws; Elastic and Plastic Behavior of Materials; Linearized Theory of Elasticity; Solutions of Problems in Linearized Theory of Elasticity by Potentials; Two-Dimensional Problems in Linearized Theory of Elasticity; Variational Calculus, Energy Theorems, Saint-Venant's Principle; Hamilton's Principle, Wave Propagation, Applications of Generalized Coordinates; Elasticity and Thermodynamics; Finite Element Methods; Mixed and Hybrid Formulations; Finite Element Methods for Plates and Shells; Functional Thermodynamics and Thermoviscoelasticity; Thermodynamics with Internal State Variables and Thermoviscoplasticity; Electro-Thermo-Viscoelasticity/Viscoplasticity; Meshless Method;
£133.20
World Scientific Publishing Co Pte Ltd Classical And Computational Solid Mechanics
Book SynopsisThe second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics.This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions.Table of ContentsIntroduction; Tensor Analysis; Stress Tensor; Analysis of Strain; Conservation Laws; Elastic and Plastic Behavior of Materials; Linearized Theory of Elasticity; Solutions of Problems in Linearized Theory of Elasticity by Potentials; Two-Dimensional Problems in Linearized Theory of Elasticity; Variational Calculus, Energy Theorems, Saint-Venant's Principle; Hamilton's Principle, Wave Propagation, Applications of Generalized Coordinates; Elasticity and Thermodynamics; Finite Element Methods; Mixed and Hybrid Formulations; Finite Element Methods for Plates and Shells; Functional Thermodynamics and Thermoviscoelasticity; Thermodynamics with Internal State Variables and Thermoviscoplasticity; Electro-Thermo-Viscoelasticity/Viscoplasticity; Meshless Method;
£81.70
World Scientific Publishing Co Pte Ltd Classical Dynamics: A Modern Perspective
Book SynopsisClassical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics.Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory.This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.Table of ContentsIntroduction: Newtonian Mechanics; Generalized Coordinates and Lagrange's Equations; The Hamilton and Weiss Variational Principles and the Hamilton Equations of Motion; The Relation Between the Lagrangian and the Hamilton Descriptions; Invariance Properties of the Lagrangian & Hamiltonian Descriptions, Poisson and Lagrange Brackets, and Canonical Transformations; Group Properties and Methods of Constructing Canonical Transformations; Invariant Measures in Phase Space and Various Forms of Development in Time; Theory of Systems with Constraints; The Generalized Poisson Bracket and Its Applications; Dynamical Systems with Infinitely Many Degrees of Freedom and Theory of Fields; Linear and Angular Momentum Dynamical Variables and Their Significance; Sets, Topological Spaces, Groups; Lie Groups and Lie Algebras; Realizations of Lie Groups and Lie Algebras; Some Important Lie Groups and Their Lie Algebras; Relativistic Symmetry in the Hamiltonian Formalism; The Three-Dimensional Rotation Group; The Three-Dimensional Euclidean Group; The Galilei Group; The Poincare Group; Manifest Covariance in Hamiltonian Mechanics; Relativistic Action-at-a-Distance Theories; Conclusion; Index;
£86.45
World Scientific Publishing Co Pte Ltd Lesson For The Future Of Our Science, A: My
Book SynopsisThis unique volume contains a tribute to Lord Patrick M S Blackett through the testimony of Professor Antonino Zichichi, who was one of Blackett's pupils in the experiment at the Sphinx Observatory, Europe's highest lab (3580 meters a.s.l.), at Jungfraujoch. The book presents an overview of Blackett's most significant discoveries, such as the so called 'vacuum polarization' effect, the first example of 'virtual physics' and the 'strange particles', that opened a new horizon towards the existence of the subnuclear universe. After discussing the profound implications of Blackett's pioneering contributions to Subnuclear Physics, the book also recalls his deep interest in the promotion of scientific culture. Blackett was firmly convinced that physicists must be engaged directly to let the people outside our labs know what the role of science is in the progress of our civilisation. In particular, according to Blackett and his friend Bertrand Russell, the Manhattan Project was the example of how the new frontiers of science and technology would have been implemented in the future. In this respect, the role of dedicated institutions is discussed, as a new bridge between traditional university teaching and the big projects for the future of science and technology.Table of ContentsThe Reasons Why This Book Has Been Written; An Incredible Sequence of Unexpected Events; Blackett and the Origin of The Subnuclear Universe; Blackett and Russell (Galilei, Einstein, Godel); The "Blackett Effect" in the 2nd World War; Blackett and the Whole of Our Knowledge Including Virtual History and the Three Big Bangs; New Institutions Founded; Memory is Needed for the Future; The Future; Conclusions - From Blackett to Present Day Physics; The View Which Enchanted Professor Blackett; References;
£21.85
World Scientific Publishing Co Pte Ltd Lesson For The Future Of Our Science, A: My
Book SynopsisThis unique volume contains a tribute to Lord Patrick M S Blackett through the testimony of Professor Antonino Zichichi, who was one of Blackett's pupils in the experiment at the Sphinx Observatory, Europe's highest lab (3580 meters a.s.l.), at Jungfraujoch. The book presents an overview of Blackett's most significant discoveries, such as the so called 'vacuum polarization' effect, the first example of 'virtual physics' and the 'strange particles', that opened a new horizon towards the existence of the subnuclear universe. After discussing the profound implications of Blackett's pioneering contributions to Subnuclear Physics, the book also recalls his deep interest in the promotion of scientific culture. Blackett was firmly convinced that physicists must be engaged directly to let the people outside our labs know what the role of science is in the progress of our civilisation. In particular, according to Blackett and his friend Bertrand Russell, the Manhattan Project was the example of how the new frontiers of science and technology would have been implemented in the future. In this respect, the role of dedicated institutions is discussed, as a new bridge between traditional university teaching and the big projects for the future of science and technology.Table of ContentsThe Reasons Why This Book Has Been Written; An Incredible Sequence of Unexpected Events; Blackett and the Origin of The Subnuclear Universe; Blackett and Russell (Galilei, Einstein, Godel); The "Blackett Effect" in the 2nd World War; Blackett and the Whole of Our Knowledge Including Virtual History and the Three Big Bangs; New Institutions Founded; Memory is Needed for the Future; The Future; Conclusions - From Blackett to Present Day Physics; The View Which Enchanted Professor Blackett; References;
£45.60
Springer Nature Switzerland AG A Systematic Approach to Electrodynamics
Book Synopsis
£62.99
Springer Classical Mechanics
Book SynopsisMechanical systems with one degree of freedom.- Kepler's gravitational two-body problem.- Newtonian to Lagrangian and Hamiltonian mechanics.- Introduction to special relativistic mechanics.- Dynamics viewed as a vector ?eld on state space.- Small oscillations for one degree of freedom.- Nonlinear oscillations: pendulum and anharmonic oscillator.- Rigid body mechanics.- Motion in noninertial frames of reference.- Canonical transformations.- Angle-action variables.- Hamilton-Jacobi equation.- Normal modes of oscillation and linear stability.- Bifurcations: qualitative changes in dynamics.- From regular to chaotic motion.- Dynamics of continuous deformable media.- Vibrations of a stretched string and the wave equation.- Heat diffusion equation and Brownian motion.- Introduction to ?uid mechanics.
£85.49
Springer Verlag, Singapore Intermediate Classical Mechanics
Book SynopsisThis book describes the basic concepts and principles of classical mechanics in the intermediate level. Given the perspective thatdifferent mechanical problems require an appropriate approach drawn from various methods or principles, a textbook discussingmultiplemethods or principles in mechanics is highly desirable.Additionally, a good textbook should include historicalcontexton the motivation and the development of the methods or principles, allowing students to gain insights that may help them discover new theories. However, after many years of teaching Dynamics in the graduate school, the authorswere unable tofind a suitableintermediate-level textbook on classical mechanics, whichmotivated them to begin writing this book.For theaforementioned reasons, this book includes the descriptions of various methods or principles in mechanics, such as the Newton-Euler Principle, the d'Alembert Principle, Lagrangian methods, Gauss's Principle of Least Constraint, the Gibbs-Appell equation, Jourdain's equation, the Principle of Virtual Power, the Appell-Kane method, the Hamilton Principle, and the Hamiltonian mechanics, among others. Moreover, many historical remarks on the motivation and the development of the methods or principles are given in this book, as well asnumerousapplications. The authors also believe that instudyingthe motion of a material body, different models may be used depending on the application. If the position of the body is of interest, a particle model may be chosen. If the orientation or attitude of the body is under consideration, a rigid body model should be adopted. If deformation is a concern, a model of deformable body should be applied.Consequently,a book in mechanics for engineers should encompassa variety ofmodels of the body, ranging from particles to continua such as solids or fluids.This book also meets that need.
£62.99
World Scientific Publishing Company From Galileo To Einstein Starting On A Journey In
Book Synopsis
£85.50
World Scientific Publishing Co Pte Ltd Colourful Views Of Stability And Chaos
Book Synopsis
£96.25
World Scientific Publishing Company Mechanics Of Ferromagnetoelastic Materials And
Book Synopsis
£76.00
Springer Verlag, Singapore Fiber Reinforced Polymer (FRP) Composites in
Book SynopsisThis book highlights the pulchritudinous features of FRP composites emphasizing failure criteria referring to microstructural as well as micromechanical aspects. The potential and promises of this class of material as being explored for supercritical applications necessitate the analysis and assessment of FRPs with a spectrum of low to high strain rates. Additionally, constitutive modeling and shock properties of polymeric composites along with the data processing techniques and relevant theories for different characterization methods are conversed. The findings of previous studies available on mechanical characteristics of polymer composites under quasi-static and high-strain-rate circumstances are also discussed. The dearth of open literature and limited information culminate the need for this book which may eventually bridge the existing gap. Table of ContentsIntroduction to Composite Materials.- Polymer Matrix Materials for Ballistic Armors.- Fiber reinforcements.- Characterization techniques in different strain-rate spectrum.- Microstructural Failure Mechanisms Analysis.- Micromechanics of FRP Composites and the Analytical Approach for Ballistic Response.- Recent development of constitutive models for strain-rate sensitive FRP composite materials.- High-Velocity Impact Modeling in Materials Science: A Multiscale Perspective.- Interface Engineering.
£107.99
EPB Publishers Pte Ltd Mechanics Of Continuous Media (In 2 Volumes)
Book Synopsis
£166.50
