by S F Borg (Stevens Inst. Tech.)

The purposes of the text are: To introduce the engineer to the very important discipline in applied mathematics-tensor methods as well as to show the fundamental unity of the different fields in continuum mechanics-with the unifying material formed by the matrix-tensor theory and to present to the engineer modern engineering problems.

• Mathematical Preliminaries
• Tensors (or Matrices) of Zero, First, and Second Order
• Curvilinear Coordinates
• Introduction to Theory of Elasticity
• Applications of the Theory of Elasticity
• The Deflection Tensor in the Theory of Structures
• Introduction to the Theory of Plates and Shells
• Equations of Viscous Flow and Introduction to Boundary Layer Theory
• Introductory Theory of Plasticity
• Tensor Analysis as Related to Dimensional Analysis
• Appendices
• References