THE DYNAMICS OF PARTICLES AND OF RIGID, ELASTIC, AND FLUID BODIES: BEING LECTURES ON MATHEMATICAL PHYSICS

By EVELYN THOMPSON

CONTENTS 1 VARIATIONAL PRINCIPLES 2 THERMODYNAMICS 4 PRINCIPLE OF LEAST ACTION IN CONTINUUM MECHANICS 5 DIRECT METHODS OF CALCULUS OF VARIATIONS 6 STATICS OF A GEOMETRICALLY LINEAR ELASTIC BODY 7 STATICS OF A GEOMETRICALLY NONLINEAR ELASTIC BODY 8 DYNAMICS OF ELASTIC BODIES 9 IDEAL INCOMPRESSIBLE FLUID 10 IDEAL COMPRESSIBLE FLUID 11 STEADY MOTION OF IDEAL FLUID AND ELASTIC BODY 12 PRINCIPLE OF LEAST DISSIPATION 13 MOTION OF RIGID BODIES IN FLUIDS