Differential and integral calculus

This monograph is designed to introduce students to the study of differential and integral calculus of functions of several real variables. Its content is primarily intended for students in technical fields where mathematical analysis is required for their training. The book is divided into four distinct parts: PART I Differentiation. 1. Functions of Several Variables 2. Parametric Integrals 3. Optimization. PART II Integration. 4. Riemann Integration 5. Line Integrals 6. Surface Integrals. PART III Solutions to Selected Exercises. PART IV Appendices. A. The Inverse and Implicit Function Theorems B. Leibniz's Differentiation Rule in 3 Dimensions C. Quadratic Forms with Linear Constraints. Bordered Matrices D. Exterior Algebra and Differential Calculus.