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.vector Analysis Plays An Important Role In Engineering, And Is Presented In Terms Of Indicial Notation, Making Use Of The Einstein Summation Convention.this Text Differs From Most Texts In That Symbolic Vector Notation Is Completely Avoided, As Suggested In The Textbooks On Tensor Algebra And Analysis Written In German By Duschek And Hochreiner, In The 1960s.the Defining Properties Of Vector Fields, The Divergence And Curl, Are Introduced In Terms Of Fluid Mechanics.