Essential Engineering Mathematics
Publisher: Bookboon
Published: 2013
ISBN-13: 9788776817350
Table of contents: title: Preliminaries; title: Number Systems: The Integers, Rationals and Reals; title: Working with the Real Numbers; title: Complex Numbers; title: Vectors and Matrices; title: Vectors; title: Matrices and Determinants; title: Systems of Linear Equations and Row Reduction; title: Bases; title: Eigenvalues and Eigenvectors; title: Functions and Limits; title: Functions; title: Limits; title: Continuity; title: Calculus of One Variable Part 1: Differentiation; title: Derivatives; title: The Chain Rule; title: Some Standard Derivatives; title: Dierentiating Inverse Functions; title: Implicit Differentiation; title: Logarithmic Differentiation; title: Higher Derivatives; title: L’Hôpital’s Rule; title: Taylor Series; title: Calculus of One Variable Part 2: Integration; title: Summing Series; title: Integrals; title: Antiderivatives; title: Integration by Substitution; title: Partial Fractions; title: Integration by Parts; title: Reduction Formulae; title: Improper Integrals; title: Calculus of Many Variables; title: Surfaces and Partial Derivatives; title: Scalar Fields; title: Vector Fields; title: Jacobians and the Chain Rule; title: Line Integrals; title: Surface and Volume Integrals; title: Ordinary Differential Equations; title: First Order Dierential Equations Solvable by Integrating Factor; title: First Order Separable Differential Equations; title: Second Order Linear Differential Equations with Constant Coefficients: The Homogeneous Case; title: Second Order Linear Differential Equations with Constant Coefficients: The Inhomogeneous Case; title: Initial Value Problems; title: Complex Function Theory; title: Standard Complex Functions; title: The Cauchy-Riemann Equations; title: Complex Integrals; title: Index