Includes bibliographical references and index.

Front Cover; Engineering Mathematics with Examples and Applications; Copyright; Contents; About the Author; Preface; Acknowledgment; Part I Fundamentals; 1 Equations and Functions; 1.1 Numbers and Real Numbers; 1.2 Equations; 1.3 Functions; 1.4 Quadratic Equations; 1.5 Simultaneous Equations; Exercises; 2 Polynomials and Roots; 2.1 Index Notation; 2.2 Floating Point Numbers; 2.3 Polynomials; 2.4 Roots; Exercises; 3 Binomial Theorem and Expansions; 3.1 Binomial Expansions; 3.2 Factorials; 3.3 Binomial Theorem and Pascal's Triangle; Exercises; 4 Sequences; 4.1 Simple Sequences. 4.2 Fibonacci Sequence 4.3 Sum of a Series; 4.4 In nine Series; Exercises; 5 Exponentials and Logarithms; 5.1 Exponential Function; 5.2 Logarithm; 5.3 Change of Base for Logarithm; Exercises; 6 Trigonometry; 6.1 Angle; 6.2 Trigonometrical Functions; 6.3 Sine Rule; 6.4 Cosine Rule; Exercises; Part II Complex Numbers; 7 Complex Numbers; 7.1 Why Do Need Complex Numbers?; 7.2 Complex Numbers; 7.3 Complex Algebra; 7.4 Euler's Formula; 7.5 Hyperbolic Functions; Exercises; Part III Vectors and Matrices; 8 Vectors and Vector Algebra; 8.1 Vectors; 8.2 Vector Algebra; 8.3 Vector Products. 8.4 Triple Product of Vectors Exercises; 9 Matrices; 9.1 Matrices; 9.2 Matrix Addition and Multiplication; 9.3 Transformation and Inverse; 9.4 System of Linear Equations; 9.5 Eigenvalues and Eigenvectors; Exercises; Part IV Calculus; 10 Differentiation; 10.1 Gradient and Derivative; 10.2 Differentiation Rules; 10.3 Series Expansions and Taylor Series; Exercises; 11 Integration; 11.1 Integration; 11.2 Integration by Parts; 11.3 Integration by Substitution; Exercises; 12 Ordinary Differential Equations; 12.1 Differential Equations; 12.2 First-Order Equations; 12.3 Second-Order Equations. 12.4 Higher-Order ODEs12.5 System of Linear ODEs; Exercises; 13 Partial Differentiation; 13.1 Partial Differentiation; 13.2 Differentiation of Vectors; 13.3 Polar Coordinates; 13.4 Three Basic Operators; Exercises; 14 Multiple Integrals and Special Integrals; 14.1 Line Integral; 14.2 Multiple Integrals; 14.3 Jacobian; 14.4 Special Integrals; Exercises; 15 Complex Integrals; 15.1 Analytic Functions; 15.2 Complex Integrals; Exercises; Part V Fourier and Laplace Transforms; 16 Fourier Series and Transform; 16.1 Fourier Series; 16.2 Fourier Transforms. 16.3 Solving Differential Equations Using Fourier Transforms 16.4 Discrete and Fast Fourier Transforms; Exercises; 17 Laplace Transforms; 17.1 Laplace Transform; 17.2 Transfer Function; 17.3 Solving ODE via Laplace Transform; 17.4 Z-Transform; 17.5 Relationships between Fourier, Laplace and Z-transforms; Exercises; Part VI Statistics and Curve Fitting; 18 Probability and Statistics; 18.1 Random Variables; 18.2 Mean and Variance; 18.3 Binomial and Poisson Distributions; 18.4 Gaussian Distribution; 18.5 Other Distributions; 18.6 The Central Limit Theorem; 18.7 Weibull Distribution; Exercises.

This title provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines.

In English.

UCLA Library - CDL shared resource.