"Mechanical Systems, Classical Models Volume II: Mechanics of Discrete and Continuous Systems" by Petre P. Teodorescu (Repost)

The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems, the book covers a wide number of problems.
This volume deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems.

The book is divided in three volumes:
I. Particle mechanics.
II. Mechanics of discrete and continuous systems.
III. Analytical mechanics.

Contents II. Mechanics of discrete and continuous systems
Preface
11. Dynamics of Discrete Mechanical Systems
11.1 Dynamics of Discrete Mechanical Systems with Respect to an Inertial Frame of Reference
11.1.1 Introductory Notions
11.1.2 General Theorems. Conservation Theorems
11.2 Dynamics of Discrete Mechanical Systems with Respect to a Non-inertial Frame of Reference
11.2.1 Motion of a Discrete Mechanical System with Respect to a Koenig Frame of Reference
11.2.2 Motion of a Discrete Mechanical System with Respect
to an Arbitrary Non-inertial Frame of Reference
12. Dynamics of Continuous Mechanical Systems
12.1 General Considerations
12.1.1 Introductory Notions. General Principles
12.1.2 General Theorems. Conservation Theorems
12.2 One-dimensional Continuous Mechanical Systems
12.2.1 Motion of Threads
12.2.2 Motion of a Straight Bar
13. Other Considerations on Dynamics of Mechanical Systems
13.1 Motions with Discontinuity
13.2 Dynamics of Mechanical Systems of Variable Mass
13.2.1 Discrete Mechanical Systems
13.2.2 Applications
13.2.3 Continuous Mechanical Systems
14. Dynamics of the Rigid Solid
14.1 Motion of a Free or Constrained Rigid Solid
14.1.1 Motion of the Free Rigid Solid
14.1.2 Motion of the Rigid Solid Subjected to Constraints
14.2 Motion of a Rigid Solid about a Fixed Axis. Plane-parallel Motion of the Rigid Solid
14.2.1 Motion of the Rigid Solid about a Fixed Axis
14.2.2 Plane-parallel Motion of the Rigid Solid
15. Dynamics of the Rigid Solid with a Fixed Point
15.1 General Results. Euler-Poinsot case
15.1.2 The Euler-Poinsot Case
15.2.1 The Lagrange-Poisson Case
15.1.1 General Results
15.2 The Case in which the Ellipsoid of Inertia is of Rotation. Other Cases of Integrability
15.2.2 The Sonya Kovalevsky Case
15.2.3 Other Cases of Integrability
16. Other Considerations on the Dynamics of the Rigid Solid
16.1 Motions of the Earth
16.1.1 Euler’s Cycle. The Regular Precession
16.1.2 Free Nutation. Pseudoregular Precession
16.2 Theory of the Gyroscope
16.2.1 General Results
16.2.2 Applications
16.3 Dynamics of the Rigid Solid of Variable Mass
16.3.1 Variational Methods of Calculation Variable Mass
16.3.2 Applications to Dynamics of the Rigid Solid of Variable Mass
16.3.3 The Motion of the Aircraft Fitted Out with Jet Propulsion Motors
17. Dynamics of Systems of Rigid Solids
17.1 Motion of Systems of Rigid Solids
17.1.1 General Results
17.1.2 Contact of Two Rigid Solids
17.2 Motion with Discontinuities of the Rigid Solids. Collisions
17.2.1 Percussion of Two Rigid Solids
17.2.2 Motion of a Rigid Solid Subjected to the Action of a Percussive Force
17.3 Applications in Dynamics of Engines
17.3.1 General Results
17.3.2 Applications
Bibliography
Subject Index
Name Index