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Mathematical formulas for industrial and mechanical engineering /
Mathematical Formulas For Industrial and Mechanical Engineering serves the needs of students and teachers as well as professional workers in engineering who use mathematics. The contents and size make it especially convenient and portable. The widespread availability and low price of scientific calc...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
2014.
|
| Colección: | Elsevier insights.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Mathematical Formulas for Industrial and Mechanical Engineering; Copyright Page; Contents; Preface; Biography; 1 Symbols and Special Numbers; 1.1 Basic Mathematical Symbols; 1.2 Basic Algebra Symbols; 1.3 Linear Algebra Symbol; 1.4 Probability and Statistics Symbols; 1.5 Geometry Symbols; 1.6 Set Theory Symbols; 1.7 Logic Symbols; 1.8 Calculus Symbols; 1.9 Numeral Symbols; 1.10 Greek Alphabet Letters; 1.11 Roman Numerals; 1.12 Prime Numbers; 1.13 Important Numbers in Science (Physical Constants); 1.14 Basic Conversion Formulas; 1.15 Basic Area Formulas.
- 1.16 Basic Perimeter Formulas1.17 Basic Volume Formulas; 2 Elementary Algebra; 2.1 Sets of Numbers; Rational Numbers; Irrational Numbers; Complex Numbers; 2.2 Fundamental Properties of Numbers; 2.3 Absolute Value; 2.4 Basic Properties of Real Numbers; 2.5 Laws of Exponents; 2.6 Logarithm; 2.7 Factorials; 2.8 Factors and Expansions; 2.9 Solving Algebraic Equations; 2.10 Intervals; 2.11 Complex Numbers; 2.12 The Complex Plane; 2.13 Complex Numbers in Polar Form; 2.14 Multiplication and Division in Polar Form; 2.15 DeMoivre's Theorem; 2.16 Euler's Formula; 3 Linear Algebra; 3.1 Basic Definitions.
- 3.2 Basic Types of Matrices3.3 Basic Operations on Matrices; 3.4 Properties of Matrix Operations; 3.5 Determinants; 3.6 Sarrus Rule; 3.7 Minors and Cofactors; 3.8 Properties of Determinants; 3.9 Inverse Matrix; 3.10 System of Linear Equations; 3.11 Methods of Solution; 3.12 Inverse Matrix Method; 3.13 Determinant Method (Cramer's Rule); 4 Analytic Geometry and Trigonometry; 4.1 Plane Figures-Perimeter (P), Circumference (C), and Area (A); 4.2 Solid Figures-Surface Area (S) and Volume (V); 4.3 Right Triangle; 4.4 Any Triangle; 4.5 Degrees or Radians.
- 4.6 Table of Natural Trigonometric Functions4.7 Trigonometry Identities; Reciprocal Identities; Quotient Identities; Cofunction Identities; Pythagorean Identities; Sum and Difference of Angle Identities; Double Angle Identities; Half Angle Identities; Product to Sum; Sum to Product; Power Reducing Identities; 4.8 The Inverse Trigonometric Functions; Arc Sine; Arc Cosine; Arc Tangent; 4.9 Solutions of Trigonometric Equations; 4.10 Analytic Geometry (in the plane, i.e., 2D); 4.11 Vector; 5 Calculus; 5.1 Functions and Their Graphs; 5.2 Limits of Functions.
- 5.3 Definition and Properties of the Derivative5.4 Table of Derivatives; 5.5 Higher Order Derivatives; 5.6 Applications of Derivative; 5.7 Indefinite Integral; 5.8 Integrals of Rational Function; 5.9 Integrals of Irrational Function; 5.10 Integrals of Trigonometric Functions; 5.11 Integrals of Hyperbolic Functions; 5.12 Integrals of Exponential and Logarithmic Functions; 5.13 Reduction Formulas Using Integration by Part; 5.14 Definite Integral; 5.15 Improper Integral; 5.16 Continuity of a Function; 5.17 Functions and Graphs; 5.18 Partial Fractions; 5.19 Properties of Trigonometric Functions.