"Version: 20250201"--Title page verso.Includes bibliographical references.1. System of particles -- 1.1. Introduction -- 1.2. Definition of center of mass -- 1.3. Characteristics of center of mass -- 1.4. Calculation of position of center of mass (finding center of mass) -- 1.5. Work-energy theorem for a system of particles -- 1.6. Impulse and momentum equation for a system of particles -- 1.7.…
"Version: 20161201"--Title page verso.Includes bibliographical references.Preface -- part I. Towards a unified theory exploiting a dynamical systems approach for physical heterogeneous continuous dynamical hypersystems -- 1. General considerations -- 2. Model definition -- 3. Dynamical systems approach -- 4. Algorithm for a formulation of the mathematical model -- 5. Developmental systems appro…
"Version: 20171201"--Title page verso.Includes bibliographical references.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. Problems2. Lagrangian analytical mechanics -- 2.1. Lagrange equations -- 2.2. Three simple examples -- 2.3. …
"Version: 20180301"--Title page verso.Includes bibliographical references.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 math…
"Version: 20180401"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Notation and tensor analysis essentials -- 2.1. Linear fractional transform -- 2.2. Visualizing rotations3. Orthogonal basis and coordinate transformations -- 3.1. Superimposed rotations -- 3.2. Basis rotations4. Rotation operations -- 4.1. Why apparent inconsistency in placement of the negative sign…
"Version: 20190101"--Title page verso.Includes bibliographical references.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 motion9. Two- and three-dime…
"Version: 20200801"--Title page verso.Includes bibliographical references.1. Mathematical preliminaries -- 1.1. Vectors -- 1.2. Complex numbers -- 1.3. Calculus -- 1.4. Differential equations2. 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 isol…
"Version: 20141001"--Title page verso.Preface -- Author biography -- Introduction : getting started -- List of the simulation programs -- How to operate the simulation programs -- Keplerian motions in celestial mechanics -- Numerical and analytical methodsReview of the simulations -- Kepler's laws -- Kepler's first law -- Kepler's second law -- Kepler's third law -- The approximate nature of Ke…