CHAPTER I.KINEMATICS OF DEFORMABLE BGDIES
  1.A Fundamental Theorem of Kinematics
  2.Review of Vector Analysis
  3.The Theorems of Gauss, Stokes, and Green
  4.Some Remarks on Tensor Analysis
CHAPTER II.STATICS OF DEFORMABLE BODIES
  5.Concept of Stress; General Classification of Deformable Bodies
  6.Equilibrium of Incompressible Fluids (Hydrostatics)
  7.Statics of Compressible Fluids
  8.The State of Stress of an Elastic Solid
  9.Strain-Stress Relations, Elastic Constants, Elastic Potential
  10.Viscous Pressures and Dissipation, Particularly in Incompressible Fluids
CHAPTER III.DYNAMICS OF DEFORMABLE BODIES
  11.Euler's Equations for a Perfect Incompressible Fluid
  12.Derivation of Euler's Equations from Hamilton's Principle.The Pressure a Lagrange Multinliydwwsvsw
  13.Euler's Equations for the Perfect Compressible Fluid and Their Application to Acoustics
    Appendix.Comparison of Compressible and Incompressible Flows
  14.Dynamics of the Elastic Body
  15.The Quasi-Elastic Body as Model of the Ether
  16.Dynamics of Viscous Fluids.Hydrodynamics and Hydraulics.Reynolds Criterion of Turbulence
  17.Some Remarks on Capillarity
CHAPTER IV.VORTEX THEORY
  18.Helmholtz's Vortex Theorems
    1.The Differential Form of the Conservation Theorem
    2.The Integral Form of the Conservation Theorem
    3.The Spatial Distribution of the Vorticity
  19.Two- and Three-dimensional Potential Flow
  20.A Fundamental Theorem of Vector Analysis
  21.Straight and Parallel Vortex Filaments
    1.The Single Vortex Filament
    2.Two Vortex Filaments of Equal Strength and Opposite or Equal Sense
    3.A Theorem Concerning the "Center of Mass" of Two or More Vortices
    4.The Law of Areas for a System of Vortex Filaments
    5.General Remarks on the Dynamics of Vortices
    6.Atmospheric Vortices
  22.Circular Vortex Rings
CHAPTER V.THEORY OF WAVES
  23.Plane Gravity Waves in Deep Water
  24.Plane Gravity Waves in Shallow and Moderately Deep Water
  25.Plane Capillary Waves and Combined Capillary-Gravity Waves
  26.The Concept of Group Velocity
  27.Circular Waves
    1.The Periodic Case.Introduction of Bessel Functions
    2.Single Disturbance.The Fourier-Bessel Integral
    3.Integration with Respect to k.The Method of the Stationary Phase
    4.Integration with Respect to a.Discussion of a Limiting Case
  28.Ship Waves (Kelvin's Limit Angle and Mach's Angle)
CHAPTER VI.FLOW WITH GIVEN BOUNDARIES
  29.Flow Past a Plate
  30.The Problem of the Wake; Surfaces of Discontinuity
  31.The Problem of the Free Jet Solved by Conformal Mapping
  32.Kármán's Vortex Street Appendix.The Drag Problem
  33.Prandtl's Boundary Layer
CHAPTER VII.SUPPLEMENTARY NOTES ON SELECTED HYDRODYNAMIC PROBLEMS
  34.Lagrange's Equations of Motion
  35.Stokes'Resistance Law
  36.The Hydrodynamic Theory of Lubrication
  37.Riemann's Shock Waves.General Integration of Euler's Equations for a Compressible Fluid in One-dimensional Flow
  38.On Turbulence
    A.Some Properties of Turbulent Flow
    B.Older Attempts at a Mathematical Theory of Reynolds' Turbulence Criterion
    C.Reformulation of the Turbulence Problem; the Origin of the Turbu- lence
    D.The Limiting Case of Isotropic Turbulence
    E.A Mathematical Model to Illustrate the Turbulence Problem
CHAPTER VIII.SUPPLEMENTS TO THE THEORY OF ELASTICITY
  39.Elastic Limit, Proportional Limit, Yield Point, Plasticity, and Strength
  40.Crystal Elasticity
  41.The Bending of Beams
  42.Torsion
  43.Torsion and Bending of a Helical Spring
  44.The Elastic Energy Content of a Rectangular Parallelepiped
  45.The Surface Waves of the Elastic Half-Space
    A.Reflection of a Plane Transverse Spatial Wave
    B.Elastic Surface Waves
PROBLEMB
Chapter I
Chapter II
Chapter III
Chapter IV
Chapters V and VI
Chapter VII
Chapter VIII
ANSWERS AND COMMENTS
APPENDIX I
APPENDIx II
APPENDIX III
APPENDIX IV
INDEX