Division A Mathematical Aids.- Preface.- I. The Complex Variable (x + iy).- II. Integration of Partial Derivative Expressions.- III. Fourier Series.- IV. Theory of Dimensions.- V. Vector Algebra: Two-Dimensional Vectors.- VI. Vector Fields.- VII. Potential.- VIII. Potential—Continued.- IX. Special Theorems.- X. Conformal Transformation.- Division B Fluid Mechanics, Part I.- Preface.- I. Fundamental Equations.- II. Plane Irrotational Flow.- III. Vortex Flow.- IV. Combination Fields of Flow.- V. Combination Fields of Flow Continued—Kutta-Jou-Kowski Theorem.- VI. Application of Conformal Transformation to Fields of Flow.- VII. Particle Paths, Fields of Flow Relative to Axes Fixed in Fluid.- VIII. Derivation of Potentials by Indirect Methods.- IX. Three-Dimensional Fields of Flow.- X. Aerostatics: Structure of the Atmosphere.- Division C Fluid Mechanics, Part II.- Preface.- I. Kinematics of Fluids.- II. Dynamics of Fluids.- III. Motion of Solids in a Fluid.- IV. Sources and Vortices.- V. Fluid Motion with Axial Symmetry.- VI. Lateral Motion of Surfaces of Revolution.- VII. Ellipsoids of Revolution.- VIII. Ellipsoid with Three Unequal Axes.- Division D Historical Sketch.- Preface.- I. Period of Early Thought: From Antiquity to the End of the XVII Century.- II. Period of Classic Hydrodynamics: From the End of the XVII Century to the End of the XIX Century.- III. Period of Modern Aerodynamics: From the End of the XIX Century Onward.