Strack O.D.L. Applications of Vector Analysis and Complex Variables in Engineering

Springer, 2020. — 228 p. — ISBN: 978-3-030-41167-1.This textbook presents the application of mathematical methods and theorems tosolve engineering problems, rather than focusing on mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for engineering students, who generally think quite differently than students of mathematics. The objective is to emphasize mathematical methods and applications, rather than emphasizing general theorems and principles, for which the reader is referred to the literature.Vectors in Three-Dimensional Space
Vector Fields
Fundamental Equations for Fluid Mechanics
Integral Theorems
Coordinate Transformations: Definitions of Vectors and Tensors
Partial Differential Equations of the First Order
Partial Differential Equations of the Second Order
The Elliptic Case: Two Complex Characteristics
Applications of Complex Variables
The Parabolic Case: Two Coinciding Characteristics
The Hyperbolic Case: Two Real Characteristics
Hyperbolic Quasi Linear Partial Differential Equations
The Navier-Stokes Equations