Engineering Mathematics Part I
Worthwhile introductory for those students studying undergraduate engineering degrees.
Chapter 1: Successive Differentiation and Leibnitz Theorem
Chapter 2: Partial Differentiation (Euler's theorem)
Chapter 3: Change of Independent Variables
Chapter 4: Curve Tracing
Chapter 5: Expansions of Functions (Taylor and Maclaurin's Series For One Variable)
Chapter 6: Expansion of Function of Several Variables
Chapter 7: Jacobians
Chapter 8: Approximations of Errors
Chapter 9: Extrema of Function of Several Variables for One Variable (Lagrange's Method of Multipliers)
Chapter 10: Matrices
Chapter 11: Application of Matrices to Engineering Problems
Chapter 12: Linear Algebra
Chapter 13: Multiple Integrals (Double and Triple Integrals)
Chapter 14: Beta and Gamma Functions (Dirichlet's Integral)
Chapter 15: Vector Differentiation
Chapter 16: Gradient, Divergence and Curl
Chapter 17: Vector Integration