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Engineering Mathematics with Examples and Applications /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Place of publication not identified] :
Academic Press,
2016.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 Sequence4.3 Sum of a Series; 4.4 In nite 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 Transforms16.4 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.