1 Table of Contents: “... Historical Introduction -- 2.2 Newton -- 2.3 Lagrange -- 2.4 Cauchy -- 3 Basic Ideas -- 3.1 Introduction...”

2 Table of Contents: “... Semantics and Syntax -- 2.1 Elementary Symbols -- 2.2 Well-Formed Formulas or wffs [Syntax] -- 2.3 Free...”

3 Table of Contents: “... Multivariable Calculus of Real Analytic Functions -- 2.1 Power Series in Several Variables -- 2.2 Real Analytic...”

4 Table of Contents: “... -- 2.2 The Second Fundamental Form and Curvature -- 2.3 Surfaces with Constant Mean Curvature -- 3...”

5 Table of Contents: “... Integrals -- 2.1 Real and Complex Line Integrals -- 2.2 Complex Differentiability and Conformality -- 2.3...”