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Book Cover
E-book
Author Khan, Khalid

Title Engineering Mathematics with Applications to Fire Engineering
Published Milton : Chapman and Hall/CRC, 2018

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Description 1 online resource (382 pages)
Contents 880-01 Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Authors; Chapter 1: Review of Basic Concepts; 1.1 Degrees of Accuracy; 1.1.1 Rounding Numbers (Common Method); 1.1.2 Round-to-Even Method; 1.1.3 Decimal Places; 1.1.4 Significant Places; 1.2 Scientific Notation (Standard Form); 1.2.1 How Does Scientific Notation Work?; 1.2.2 Addition and Subtraction; 1.2.3 Multiplication; 1.2.4 Division; 1.3 Basic Algebra; 1.3.1 Algebraic Notation; 1.3.2 Evaluating Expressions; 1.4 Linear Equations; 1.4.1 Solving Linear Equations; 1.4.2 Transposing Formulae
880-01/(S 1.8.3.1 Range1.8.3.2 Interquartile Range; 1.8.3.3 Standard Deviation (σ); 1.8.3.3.1 Population Standard Deviation (σ); 1.8.3.4 Sample Standard Deviation (s); 1.8.4 Change of Scale; 1.9 Applications; Problems; Chapter 2: Introduction to Probability Theory; 2.1 Introduction; 2.1.1 Mutually Exclusive Events; 2.1.2 Independent Events; 2.1.3 Conditional Probability; 2.1.4 Bayes' Theorem; 2.1.4.1 Generalization of Bayes' Theorem; 2.1.5 Tree Diagrams; 2.2 Discrete Random Variables; 2.2.1 Discrete Probability Distribution; 2.2.2 Expectation Values; 2.2.3 Variance and Standard Deviation
1.5 Linear Simultaneous Equations1.5.1 Elimination Method; 1.5.2 Substitution Method; 1.6 Quadratic Equations; 1.6.1 Solving Quadratic Equations Using the Formula; 1.7 Trigonometry; 1.7.1 Right-Angled Triangles; 1.7.2 Scalene Triangles (Sine and Cosine Rules); 1.7.2.1 Sine Rule; 1.7.2.2 Cosine Rule; 1.7.3 Resultant Forces; 1.7.3.1 Adding Two Forces; 1.7.4 Basic Trigonometric Identities; 1.7.5 Radian Measure; 1.7.5.1 Radians on the Calculator; 1.8 Statistics; 1.8.1 Introduction; 1.8.2 Measures of Averages; 1.8.2.1 Data in a Frequency Table; 1.8.2.2 Grouped Data; 1.8.3 Measures of Spread
2.3 Continuous Random Variables2.3.1 Probability Density Function (pdf); 2.3.2 Cumulative Distribution Function (cdf); 2.3.3 Expectation of a Continuous Random Variable; 2.3.4 Variance and Standard Deviation of a Continuous Random Variable; 2.4 Applications; Problems; Chapter 3: Vectors and Geometrical Applications; 3.1 Introduction; 3.1.1 Magnitude and Unit Vectors; 3.1.1.1 Unit Vectors; 3.1.2 Addition and Subtraction of Vectors; 3.1.3 Scalar and Vector Products; 3.1.3.1 Scalar Product (Dot Product); 3.1.3.2 Vector Product (Cross Product); 3.1.3.3 How to Calculate
3.1.4 Projection of Vectors3.2 Vector Geometry; 3.2.1 Vector Equation of a Line; 3.2.1.1 Intersection of Lines; 3.2.2 Vector Equation of Planes; 3.2.2.1 Generalizing for Any Plane in Space; 3.3 Applications; Problems; Chapter 4: Determinants and Matrices; 4.1 Background; 4.2 Introduction to Determinants; 4.2.1 2 × 2 Determinants; 4.2.2 Properties of Determinants; 4.2.2.1 Multiplying a Determinant by a Number; 4.2.3 3 × 3 Determinants; 4.3 Introduction to Matrices; 4.3.1 Order of a Matrix; 4.3.2 Addition and Subtraction; 4.3.3 Matrix Multiplication; 4.3.3.1 Multiplying a Matrix by a Scalar
Notes 4.3.3.2 Multiplying Two Matrices
Print version record
Form Electronic book
Author Graham, Tony Lee
ISBN 9781351597609
1351597604