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• INTRODUCTION - TIME - SPACE - SPEED & VELOCITY - ACCELERATION - SUMMARY & NOTES

Glossing over kinematics often leaves students poorly prepared to continue their study of physical phenomena. This AAPT/PTRA Resource, based on physics education researcQ, provides the resources needed to introduce students to some of the fundamental building blocks of physics. The approach features a carefully thought-out, step-by-step laboratory-based introduction to the foundation upon which much of physics is built. Inquiry, measurement, and analysis of laboratory data are emphasized throughout. This book starts with chapters on the measurement of Time and Space, followed by chapters designed to distinguish among Speed, Velocity, and three types of Acceleration. In addi­tion to dozens of laboratory activities, it provides worksheets, transparency masters, and helpful hints by two master PTRAs

• Introduction, Materials, and Bibliography - Newton's Second Law: Activities and Understanding - Newton's Second Law: Problem Solving and Situation Analysis

This AAPT/PTRA teacher resource guide introduces teachers to a microcomputer-based laboratory (MBL) approach to teaching about Newton's second law, forces, and solving problems concerning force and motion. It is designed to help teachers develop the appropriate use of computers to help students build first a qualitative, conceptual understanding of Newton's second law and then a quantitative, problem solving understanding. Look for these Other AAPT/PTRA Resource Books: --Teaching About Energy --Teaching About Magnets and Magnetism --Teaching About Impulse and Momentum --Teaching About Kinematics --Teaching Physics for the First Time

• INTRODUCTION - TIME - SPACE - SPEED & VELOCITY - ACCELERATION - SUMMARY & NOTES

Glossing over kinematics often leaves students poorly prepared to continue their study of physical phenomena. This AAPT/PTRA Resource, based on physics education research, provides teachers with the resources needed to introduce students to some of the fundamental building blocks of physics. The approach features a carefully thoughtout, step-by-step laboratory-based introduction to the foundation upon which much of physics is built. Inquiry, measurement, and analysis of laboratory data are emphasized throughout. This book starts with chapters on the measurement of Time and Space, followed by chapters designed to distinguish among Speed, Velocity, and three types of Acceleration. In addition to dozens of laboratory activities, it provides worksheets, transparency masters, teacher notes, typical answers to questions, and helpful hints by two master PTRAs

This is a brief 'guide to ideas' aimed at illuminating various developments that are based on the recognition of the role of the environment in the transition from quantum to dassical, and that are relevant to Everett's 'Relative State Interpretation' .

• 1. Foundations
• 1.1. The nature of science
• 1.2. Units
• 1.3. International system of units (SI)
• 1.4. Dimensional analysis
• 1.5. A quick review of vectors
• 1.6. Derivatives of vectors
• 1.7. Position vector
• 1.8. Transformation between various coordinate systems
• 1.9. Velocity and acceleration
• 1.10. Velocity and acceleration in various coordinates

• 2. Conservation laws
• 2.1. Introduction
• 2.2. Conservation laws
• 2.3. Forces that depend on position : energy considerations
• 2.4. One-dimensional conservative system : complete solution

• 3. Newtonian mechanics
• 3.1. Introduction
• 3.2. Rectilinear motion under uniform acceleration
• 3.3. Linear momentum
• 3.4. Newton's laws of motion
• 3.5. Torque

• 4. Lagrangian mechanics
• 4.1. Lagrangian mechanics
• 4.2. From Newtonian to Lagrangian formalism
• 4.3. Choosing Lagrange's formalism--when and where?
• 4.4. Lagrangian formalism for non-conservative forces
• 4.5. The Lagrangian formalism in a nutshell

• 5. Hamiltonian mechanics
• 5.1. Hamiltonian mechanics
• 5.2. The Hamiltonian principle
• 5.3. Classical and quantum mechanics

• 6. Waves and oscillations
• 6.1. Mechanical waves
• 6.2. Physical properties of waves
• 6.3. Standing waves
• 6.4. Resonance

• 7. Simple harmonic oscillation
• 7.1. Harmonic oscillator
• 7.2. Energy consideration in harmonic oscillator
• 7.3. About various pendulums
• 7.4. Simple gravity pendulum
• 7.5. Elastic pendulum
• 7.5..1 Elastic pendulum--Lagrangian mechanics
• 7.6. Spherical pendulum

• 8. Gravitation and central forces
• 8.1. Introduction
• 8.2. Newton's law of universal gravitation
• 8.3. Gravity
• 8.4. Gravitational force between a uniform sphere and a particle
• 8.5. Potential energy in a gravitational field : gravitational potential
• 8.6. Kepler's law of planetary motion

• 9. Two- and three-dimensional dynamics
• 9.1. Introduction : general principles
• 9.2. Some useful mathematical concepts
• 9.3. Conservative and non-conservative forces in 3D
• 9.4. Generalized conservation of energy principle in 3D
• 9.5. The energy equation
• 9.6. Body with variable mass

• 10. Circular and projectile motion
• 10.1. Motion in higher dimensions
• 10.2. Uniform circular motion
• 10.3. Rotational motion
• 10.4. Rectilinear motion and rotation about a fixed axis
• 10.5. Harmonic oscillator in higher dimensions
• 10.6. Motion of a projectile in a uniform gravitational field
• 10.7. Projectile motion : no air resistance

• 11. Fluid-statics
• 11.1. Types of materials
• 11.2. Fluid-statics
• 11.3. Pressure and density in fluid-statistics
• 11.4. Pressure in fluid-statistics
• 11.5. Archimedes' principle
• 11.6. Specific gravity
• 11.7. Pascal's principle
• 11.8. Center of buoyancy

• 12. Fluid resistance
• 12.1. Fluid resistance
• 12.2. Forces as a function of velocity : fluid resistance
• 12.3. A falling object under linear drag
• 12.4. Falling object : the quadratic case
• 12.5. Projectile motion : air resistance
• 12.6. Damped harmonic oscillator in 1D

• 13. Fluid dynamics
• 13.1. Fluid dynamics
• 13.2. Fluid flow
• 13.3. Viscosity
• 13.4. Bernoulli's principle
• 13.5. Velocity of the fall of a sphere through a viscous liquid
• 13.6. Turbulent motion and Reynolds number

• 14. Properties of solids
• 14.1. Solids
• 14.2. Stress
• 14.3. Strain
• 14.4. Waves in solids

• 15. Rotation--motion of rigid bodies
• 15.1. Rigid bodies
• 15.2. Moment of inertia
• 15.3. Mass on an incline
• 15.4. Laminar motion of a rigid body

• 16. System of particles
• 16.1. System of particles
• 16.2. Two-particle system
• 16.3. Many-particle systems
• 16.4. Conservation of momentum in a system of
• 16.5. Collisions
• 16.6. 1D collision in the center-of-momentum reference frame

• 17. Scattering theory
• 17.1. Cross-section
• 17.2. Types of scattering
• 17.3. Neutral cross-section
• 17.4. Capture cross-section
• 17.5. Repulsive cross-section
• 17.6. Scattering of alpha particles

• Appendices. A. Unit conversion
• B. Velocity and acceleration in various coordinates
• C. Noether's theorem
• D. Configuration space.

Samya Zain's work fulfils the niche that connects introductory physics level books, like Phyiscs by Halliday, Resnick and Krane, to graduate level books like Analytical Mechanics by Fowles and Cassiday and The Variational Principles of Mechanics by Cornelius Lanczos. The book has been class-tested on Samya's own students on her Newtonian Mechanics course at Susquehanna University, and is accompanied by her own website, which features problems and exercises that will be regularly updated to match students' needs. This book serves as an excellent stepping stone from level 1 introductory physics to graduate level physics and provides a level field for the various techniques used to solve problems in classical mechanics, and to explain more simply the Lagrangian and Hamiltonian methods, and it is a must for junior and senior physics undergraduates.

• Preface
• Author biography
• 1. Science, science fiction and science fantasy
• 1.1. Setting the scene
• 1.2. How should we look at nature? Asking the right question
• 1.3. The innocence of youth

• 2. Complexity
• 3. Materialism : what is there between atoms and molecules?
• 3.1. Introduction
• 3.2. Solid objects are mostly empty space
• 3.3. The scale of nothing : what and where is the hard-stuff?

• 4. What exactly is the vacuum? The static or classical interpretation
• 4.1. Introduction
• 4.2. Action at a distance
• 4.3. Defining nothing
• 4.4. The vacuum : the ancient world
• 4.5. Some ancient physics with a modern twist : Archimedes' principle
• 4.6. The vacuum : the early modern world

• 5. Some basics
• 5.1. Introduction
• 5.2. The currency and language of science
• 5.3. Creating expressions in the language of science
• 5.4. What makes the world go 'round?
• 5.5. Daring to know
• 5.6. Types of energy
• 5.7. Force
• 5.8. Electromagnetism
• 5.9. Power

• 6. Investigating nature
• 6.1. Introduction
• 6.2. The mechanics of breathing
• 6.3. How we view the natural world
• 6.4. Quantum mechanics
• 6.5. Complementarity
• 6.6. The uncertainty principle of Heisenberg

• 7. Generating order and system
• 7.1. Introduction
• 7.2. The polarization of light waves
• 7.3. The fluctuating vacuum : the classical nothing becomes something
• 7.4. There is still enchantment in physics
• 7.5. Quantum field fluctuations in the vacuum
• 7.6. Fluctuations

• 8. The forces of nature
• 8.1. Introduction
• 8.2. Some early history
• 8.3. Gravity
• 8.4. Electromagnetism
• 8.5. Nuclear forces
• 8.6. Some recent developments

• 9. Intermolecular forces
• 9.1. Introduction
• 9.2. Something ideal
• 9.3. Quantifying ideal behaviour : the gas laws
• 9.4. Ballooning
• 9.5. Something closer to reality
• 9.6. The van der Waals force
• 9.7. Forces on the small and on the large scale
• 9.8. Representing the forces between molecules
• 9.9. London dispersion force
• 9.10. Earnshaw's theorem
• 9.11. The local field effect

• 10. Aspects of the private life of a liquid
• 10.1. Introduction
• 10.2. Water : the least ideal of fluids
• 10.3. Hydrogen bonding
• 10.4. The mechanical properties of water
• 10.5. The contribution of water to solutions
• 10.6. Clathrates

• 11. Order and complexity
• 11.1. Introduction
• 11.2. A classification
• 11.3. Packing of spheres
• 11.4. The packing of less-perfect, but real shapes (molecules)
• 11.5. The origin of order

• 12. 'For all that moveth, doth in change delight'
• 12.1. Introduction
• 12.2. Melting
• 12.3. The fate of a snowflake.

The present theme concerns the forces of nature, and what investigations of these forces can tell us about the world we see about us. The story of these forces is long and complex, and contains many episodes that are not atypical of the bulk of scientific research, which could have achieved greater acclaim 'if only...'. The intention of this book is to introduce ideas of how the visible world, and those parts of it that we cannot observe, either because they are too small or too large for our scale of perception, can be understood by consideration of only a few fundamental forces. The subject in these pages will be the authority of the commonly termed, laws of physics, which arise from the forces of nature, and the corresponding constants of nature (for example, the speed of light, c, the charge of the electron, e, or the mass of the electron, me).
(source: Nielsen Book Data)

• 1. Review of fundamentals
• 2. Lagrangian analytical mechanics
• 3. A few simple problems
• 4. Rigid-body motion
• 5. Oscillations
• 6. From oscillations to waves
• 7. Deformations and elasticity
• 8. Fluid mechanics
• 9. Deterministic chaos
• 10. A bit more of analytical mechanics
• Appendices. A. Selected mathematical formulas
• B. Selected physical constants.

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture notes and Problems with solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, Classical Mechanics: Problems with solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For the reader's convenience, the problem assignments are reproduced in this volume.

• Preface Acknowledgements Author biographies
• 1. Non-relativistic quantum mechanics
• 2. Path integral approach to quantum mechanics
• 3. Relativistic quantum mechanics
• 4. Quantum electrodynamics.
• (source: Nielsen Book Data)

This book and its prequel (Theories of Matter, Space, and Time: Classical Theories) grew out of courses that are taught by the authors on the undergraduate degree program in physics at Southampton University, UK. The authors aim to guide the full MPhys undergraduate cohort through some of the trickier areas of theoretical physics that undergraduates are expected to master. To move beyond the initial courses in classical mechanics, special relativity, electromagnetism and quantum theory to more sophisticated views of these subjects and their interdependence. This approach keeps the analysis as concise and physical as possible whilst revealing the key elegance in each subject discussed. This second book of the pair looks at ideas to the arena of Quantum Mechanics. First quickly reviewing the basics of quantum mechanics which should be familiar to the reader from a first course, it then links the Schrodinger equation to the Principle of Least Action introducing Feynman's path integral methods. Next, it presents the relativistic wave equations of Klein, Gordon and Dirac. Finally, Maxwell's equations of electromagnetism are converted to a wave equation for photons and make contact with Quantum Electrodynamics (QED) at a first quantized level. Between the two volumes the authors hope to move a student's understanding from their first courses to a place where they are ready to embark on graduate level courses on quantum field theory.
(source: Nielsen Book Data)

• 1. Review of fundamentals
• 1.1. Kinematics : basic notions
• 1.2. Dynamics : Newton's laws
• 1.3. Conservation laws
• 1.4. Potential energy and equilibrium
• 1.5. OK, we've got it--can we go home now?
• 1.6. Problems

• 2. Lagrangian analytical mechanics
• 2.1. Lagrange equations
• 2.2. Three simple examples
• 2.3. Hamiltonian function and energy
• 2.4. Other conservation laws
• 2.5. Problems

• 3. A few simple problems
• 3.1. One-dimensional and 1D-reducible systems
• 3.2. Equilibrium and stability
• 3.3. Hamiltonian 1D systems
• 3.4. Planetary problems
• 3.5. Elastic scattering
• 3.6. Problems

• 4. Rigid-body motion
• 4.1. Translation and rotation
• 4.2. Inertia tensor
• 4.3. Fixed-axis rotation
• 4.4. Free rotation
• 4.5. Torque-induced precession
• 4.6. Non-inertial reference frames
• 4.7. Problems

• 5. Oscillations
• 5.1. Free and forced oscillations
• 5.2. Weakly nonlinear oscillations
• 5.3. Reduced equations
• 5.4. Self-oscillations and phase-locking
• 5.5. Parametric excitation
• 5.6. Fixed-point classification
• 5.7. Numerical approaches
• 5.8. Higher harmonic and subharmonic oscillations
• 5.9. Problems

• 6. From oscillations to waves
• 6.1. Two coupled oscillators
• 6.2. N coupled oscillators
• 6.3. 1D waves
• 6.4. Acoustic waves
• 6.5. Standing waves
• 6.6. Wave decay and attenuation
• 6.7. Nonlinear and parametric effects
• 6.8. Problems

• 7. Deformations and elasticity
• 7.1. Strain
• 7.2. Stress
• 7.3. Hooke's law
• 7.4. Equilibrium
• 7.5. Rod bending
• 7.6. Rod torsion
• 7.7. 3D acoustic waves
• 7.8. Elastic waves in restricted geometries
• 7.9. Problems

• 8. Fluid mechanics
• 8.1. Hydrostatics
• 8.2. Surface tension effects
• 8.3. Kinematics
• 8.4. Dynamics : ideal fluids
• 8.5. Dynamics : viscous fluids
• 8.6. Turbulence
• 8.7. Problems

• 9. Deterministic chaos
• 9.1. Chaos in maps
• 9.2. Chaos in dynamic systems
• 9.3. Chaos in Hamiltonian systems
• 9.4. Chaos and turbulence
• 9.5. Problems

• 10. A bit more of analytical mechanics
• 10.1. Hamilton equations
• 10.2. Adiabatic invariance
• 10.3. The Hamilton principle
• 10.4. The Hamilton-Jacobi equation
• 10.5. Problems

• Appendices. A. Selected mathematical formulas
• B. Selected physical constants.

Essential Advanced Physics' is a series comprising four parts: 'Classical Mechanics', 'Classical Electrodynamics', 'Quantum Mechanics' and 'Statistical Mechanics'. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, 'Classical Mechanics: Lecture Notes', is intended to be the basis for a one-semester graduate-level course on classical mechanics and dynamics, including the mechanics of continua, in particular deformations, elasticity, waves, and fluid dynamics.

In order to understand the source and extent of the greater-than-classical information processing power of quantum systems, one wants to characterize both classical and quantum mechanics as points in a broader space of possible theories. One approach to doing this, pioneered by Abramsky and Coecke, is to abstract the essential categorical features of classical and quantum mechanics that support various information-theoretic constraints and possibilities, e.g., the impossibility of cloning in the latter, and the possibility of teleportation in both. Another approach, pursued by the authors and various collaborators, is to begin with a very conservative, and in a sense very concrete, generalization of classical probability theory--which is still sufficient to encompass quantum theory--and to ask which 'quantum' informational phenomena can be reproduced in this much looser setting. In this paper, we review the progress to date in this second programme, and offer some suggestions as to how to link it with the categorical semantics for quantum processes developed by Abramsky and Coecke.

• 6. Centre of mass and collisions
• 6.1. The centre of mass
• 6.2. Collisions

• 7. Orbits
• 7.1. Orbital forces
• 7.2. Circular motion approximation
• 7.3. Motion under the inverse square law of force
• 7.4. Orbits under an attractive force : elliptical orbits and Kepler's laws
• 7.5. Orbits with positive energy : unbound orbits
• 7.6. Reduced mass and the two-body problem
• 7.7. Variable mass problems

• 8. Rigid bodies
• 8.1. Preliminaries
• 8.2. Centre of mass
• 8.3. Flat object in x-y plane
• 8.4. General motion of a non-planar object in 3D space

• 9. Accelerating frames of reference
• 9.1. Fictitious forces

• 10. Fluid mechanics
• 10.1. Hydrostatics
• 10.2. Hydrodynamics--fluids in motion

• 11. Solutions to chapter 1 : mathematical preliminaries
• 12. Solutions to chapter 2 : Newton's laws
• 13. Selected solutions to chapter 3 : kinematic relations
• 14. Selected solutions to chapter 4 : oscillatory motion
• 15. Selected solutions to chapter 5 : angular momentum and central forces
• 16. Solutions to chapter 6 : centre of mass and collisions
• 17. Solutions to chapter 7 : orbits
• 18. Selected solutions to chapter 8 : rigid bodies
• 19. Selected solutions to chapter 9 : accelerating frames of reference
• 20. Solutions to chapter 10 : fluid mechanics

• 1. Mathematical preliminaries
• 1.1. Vectors
• 1.2. Complex numbers
• 1.3. Calculus
• 1.4. Differential equations

• 2. Newton's laws
• 2.1. Newton's laws of motion
• 2.2. The concept of force
• 2.3. Motion under a constant force
• 2.4. Projectiles
• 2.5. Momentum and impulse
• 2.6. Conservation of momentum for isolated systems

• 3. Kinematic relations
• 3.1. Work and energy
• 3.2. Relationship between work and kinetic energy
• 3.3. Power
• 3.4. Potential energy and conservative forces

• 4. Oscillatory motion
• 4.1. Simple harmonic motion
• 4.2. Damped harmonic motion
• 4.3. Driven and damped harmonic motion
• 4.4. Coupled oscillators

• 5. Angular momentum and central forces
• 5.1. Polar coordinates
• 5.2. Circular motion
• 5.3. Angular momentum
• 5.4. Central forces

Classical Mechanics: A professor-student collaboration is a textbook tailored for undergraduate physics students embarking on a first-year module in Newtonian mechanics. This book was written as a unique collaboration between Professor Mario Campanelli and students that attended his course in Classical Mechanics at University College London (UCL). Taking his lecture notes as a starting point, and reflecting on their own experiences studying the material, the students worked together with Prof. Campanelli to produce a comprehensive course text that covers a familiar topic from a new perspective. All the fundamental topics are included, starting with an overview of the core mathematics and then moving on to statics, kinematics, dynamics and non-inertial frames, as well as fluid mechanics, which is often overlooked in standard university courses. Clear explanations and step-by-step examples are provided throughout to break down complicated ideas that can be taken for granted in other standard texts, giving students the expertise to confidently tackle their university tests and fully grasp important concepts that underpin all physics and engineering courses

• Preface.- Canonical Duality-Triality Theory: Bridge Between Nonconvex Analysis/Mechanics and Global Optimization in Complex System.- Analytic Solutions to Large Deformation Problems Governed by Generalized Neo-Hookean Model.- Analytic Solutions to 3-D Finite Deformation Problems Governed by St Venant-Kirchhoff Material.- Remarks on Analytic Solutions and Ellipticity in Anti-Plane Shear Problems of Nonlinear Elasticity.- Canonical Duality Method for Solving Kantorovich Mass Transfer Problem.- Triality Theory for General Unconstrained Global Optimization Problems.- Canonical Duality Theory for Solving Non-Monotone Variational Inequality Problems.- Canonical Dual Approach for Contact Mechanics Problems with Friction.- Canonical Duality Theory for Solving Nonconvex/Discrete Constrained Global Optimization Problems.- On D.C. Optimization Problems.- Canonical Primal-Dual Method for Solving Non-convex Minimization Problems.- Unified Interior Point Methodology for Canonical Duality in Global Optimization.- Canonical Duality Theory for Topology Optimization.- Improved Canonical Dual Finite Element Method and Algorithm for Post Buckling Analysis of Nonlinear Gao Beam.- Global Solutions to Spherically Constrained Quadratic Minimization via Canonical Duality Theory.- Global Optimal Solution to QuadraticDiscrete Programming Problem with Inequality Constraints.- Global Optimal Solution to Quadratic Discrete Programming Problem with Inequality Constraints.- On Minimal Distance Between Two Surfaces.
• (source: Nielsen Book Data)

This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory's role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.
(source: Nielsen Book Data)

• Elementary Newtonian mechanics.- Principle of virtual work and Lagrange's equations.- Hamilton's principle and action integrals.- Central force problems.- Scattering.- Rigid body kinematics.- Rigid body dynamics.- Small oscillations.- Lagrangian and Hamiltonian formulations for continuous systems and fields.- Special relativity.- A Vector calculus.- B Differential forms.- C Calculus of variations.- D Linear algebra.- E Special functions.
• (source: Nielsen Book Data)

This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.
(source: Nielsen Book Data)

• Mechanics and Thermodynamics.- Mechanics of a Point Mass.- Moving Coordinate Systems and Special Relativity.- Systems of Point Masses
• Collisions.- Dynamics of Rigid Bodies.- Real Solid and Liquid Bodies.- Gases.- Liquid and Gases in Motion
• Fluid Dynamics.- Vacuum Physics.- Thermodynamics.- Mechanical Oscillations and Waves.- Nonlinear Dynamics and Chaos.- Appendix.- Solutions of the Problems.
• (source: Nielsen Book Data)

This introduction to classical mechanics and thermodynamics provides an accessible and clear treatment of the fundamentals. Starting with particle mechanics and an early introduction to special relativity this textbooks enables the reader to understand the basics in mechanics. The text is written from the experimental physics point of view, giving numerous real life examples and applications of classical mechanics in technology. This highly motivating presentation deepens the knowledge in a very accessible way. The second part of the text gives a concise introduction to rotational motion, an expansion to rigid bodies, fluids and gases. Finally, an extensive chapter on thermodynamics and a short introduction to nonlinear dynamics with some instructive examples intensify the knowledge of more advanced topics. Numerous problems with detailed solutions are perfect for self study.
(source: Nielsen Book Data)

• Introduction
• Getting started with programming
• Units and measurement
• Motion in one dimension
• Forces in one dimension
• Motion in two and three dimensions
• Forces in two and three dimensions
• Constrained motion
• Forces and constrained motion
• Work
• Energy
• Momentum, impulse, and collisions
• Multiparticle systems
• Rotational motion
• Rotation of rigid bodies
• Dynamics of rigid bodies
• Proofs
• Solutions
• Index.

This book - specifically developed as a novel textbook on elementary classical mechanics - shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks. Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts. While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available. Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.

• Preface
• Acknowledgements
• Author biography
• 1. Basic field theory
• Newtonian mechanics and Galilean relativity
• The action principle
• The stretched string as a field theory
• The wave equation
• Energy and momentum in field theories
• Point sources and Green's functions in field theory
• Further reading

• 2. Newtonian fluid dynamics
• Fluid flow from Newtonian physics
• Basic applications of the Navier-Stokes equation
• Viscosity
• The action formulation of perfect fluids
• Fluctuations around solutions and stability
• Further reading

• 3. Special relativity, field theory and symmetry
• Special relativity
• Basic effects of special relativity
• Relativistic mechanics
• Relativistic tensor fields and quadratic actions
• Relativistic spinor fields and quadratic actions
• Symmetry in relativistic field theory
• Further reading

• 4. Classical electrodynamics
• Maxwell's equations
• The gauge field and gauge conditions
• The gauge field action and minimal coupling
• vii
• The stress-energy tensor and electrodynamic force and energy
• Electromagnetic waves and spin
• Green's functions and electromagnetic radiation
• The gauge field as a differential form
• Further reading

• 5. General relativity and gravitation
• The metric tensor and the principle of equivalence
• The affine connection and the covariant derivative
• The curvature tensor
• Variational techniques in general relativity
• Einstein's equation
• Vacuum solutions to Einstein's equation
• Basic cosmology
• Further reading

• 6. Yang-Mills fields and connections
• Unitary symmetry and Yang-Mills fields
• The Yang-Mills stress-energy tensor and force equation
• Spontaneous breakdown of symmetry
• Aspects of classical solutions for Yang-Mills fields
• Yang-Mills fields, gravitation, forms and connections
• Yang-Mills fields and confinement
• Further reading
• Appendix. Mathematics for field theory.

This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.

Violation of correspondence principle may occur for very macroscopic byt isolated quantum systems on rather short timescales as illustrated by the case of Hyperion, the chaotically tumbling moon of Saturn, for which quantum and classical predictions are expected to diverge on a timescale of approximately 20 years. Motivated by Hyperion, we review salient features of ``quantum chaos`` and show that decoherence is the essential ingredient of the classical limit, as it enables one to solve the apparent paradox caused by the breakdown of the correspondence principle for classically chaotic systems.

• Preface
• 1 Introduction: Getting Started I Review of the Simulations 2 Kepler's Laws
• 3 Hodograph of the Velocity Vector
• 4 Satellites and Missiles
• 5 Active Maneuvers in Space Orbits
• 6 Precession of an Equatorial Orbit
• 7 Binary Star - the Two-Body Problem 8 Three-Body Systems 9 Many-Body Systems in Celestial Mechanics II The Simulated Phenomena
• 10 Phenomena and Concepts
• 11 Theoretical Background Glossary.
• (source: Nielsen Book Data)

This book is written for a wide range of graduate and undergraduate students studying various courses in physics and astronomy. It is accompanied by the award winning educational software package "Planets and Satellites" developed by the author. This text, together with the interactive software, is intended to help students learn and understand the fundamental concepts and the laws of physics as they apply to the fascinating world of the motions of natural and artificial celestial bodies. The primary aim of the book is the understanding of the foundations of classical and modern physics, while their application to celestial mechanics is used to illustrate these concepts. The simulation programs create vivid and lasting impressions of the investigated phenomena, and provide students and their instructors with a powerful tool which enables them to explore basic concepts that are difficult to study and teach in an abstract conventional manner. Students can work with the text and software at a pace they can enjoy, varying parameters of the simulated systems. Each section of the textbook is supplied with questions, exercises, and problems. Using some of the suggested simulation programs, students have an opportunity to perform interesting mini-research projects in physics and astronomy.
(source: Nielsen Book Data)

• Kinematics
• Dynamics of the point
• Forces
• Gravity
• Relative motions
• Extended systems
• Special relativity
• Rigid bodies.

This first volume covers the mechanics of point particles, gravitation, extended systems (starting from the two-body system), the basic concepts of relativistic mechanics and the mechanics of rigid bodies and fluids. The four-volume textbook, which covers electromagnetism, mechanics, fluids and thermodynamics, and waves and light, is designed to reflect the typical syllabus during the first two years of a calculus-based university physics program. Throughout all four volumes, particular attention is paid to in-depth clarification of conceptual aspects, and to this end the historical roots of the principal concepts are traced. Writings by the founders of classical mechanics, G. Galilei and I. Newton, are reproduced, encouraging students to consult them. Emphasis is also consistently placed on the experimental basis of the concepts, highlighting the experimental nature of physics. Whenever feasible at the elementary level, concepts relevant to more advanced courses in modern physics are included. Each chapter begins with an introduction that briefly describes the subjects to be discussed and ends with a summary of the main results. A number of "Questions" are included to help readers check their level of understanding. The textbook offers an ideal resource for physics students, lecturers and, last but not least, all those seeking a deeper understanding of the experimental basics of physics

• Introduction
• Review of probability and statistics
• Kinetic theory
• Thermodynamics
• Introduction to equilibrium statistical mechanics
• The theory of fluctuations.

• 2.10 Further Reading3 Kinetic Theory; 3.1 From Γ-Space to Macroscopic Distributions; 3.2 Statistical Closure; 3.3 The Role of Fluctuations; 3.4 Entropy in Kinetic Theory; 3.4.1 Gibbs Paradox and Other Trouble; 3.4.2 Quantum Effects; 3.5 The Boltzmann Equation; 3.5.1 The Maxwell-Boltzmann Distribution; 3.5.2 Entropy in Velocity Space; 3.5.3 The H Theorem; 3.6 The Fluid Limit; 3.7 Thermodynamic Meaning of Temperature and Entropy; 3.8 The Equations of Fluid Mechanics; 3.9 Viscosity and Thermal Diffusivity; 3.9.1 Diffusion in a Gas Mixture; 3.10 Elementary Transport Theory

This textbook offers an advanced undergraduate or initial graduate level introduction to topics such as kinetic theory, equilibrium statistical mechanics, and the theory of fluctuations from a modern perspective. The aim is to provide the reader with the necessary tools of probability theory and thermodynamics (especially the thermodynamic potentials) to enable subsequent study at advanced graduate level. At the same time, the book offers a bird's eye view on arguments that are often disregarded in the main curriculum courses. Further features include a focus on the interdisciplinary nature of the subject and in-depth discussion of alternative interpretations of the concept of entropy. While some familiarity with basic concepts of thermodynamics and probability theory is assumed, this does not extend beyond what is commonly obtained in basic undergraduate curriculum courses.