## Basic Engineering Mathematics 4Eth by John Bird in pdf

this is the book Basic Engineering Mathematics 4Eth in pdf written by John Bird , published by Newnes ,2005 of professors of science faculties universities .

**Information about the book**

Language of the book: English language

Book Title: Basic Engineering Mathematics 4Eth

Scriptwriter: by John Bird

Year of printing: Newnes ,2005

File Format:PDF

Number of chapters: 34 CHAPTER

Number of chapters: 34 CHAPTER

Number of pages: 301 pages

File Size: 11,10 MB

**Contents**

Basic arithmetic

Arithmetic operations, Highest common factors and lowest common multiples, Order of precedence and brackets

Indices, standard form and engineering notation

Indices, Worked problems on indices, Further worked problems on indices, Standard form, Worked problems on standard form, Further worked problems on standard form, Engineering notation and common prefixes

Calculations and evaluation of formulae

Errors and approximations, Use of calculator, Conversion tables and charts, Evaluation of formulae, Assignment

Computer numbering systems

Binary numbers, Conversion of binary to denary, Conversion of denary to binary, Conversion of denary to binary via octal, Hexadecimal numbers

Algebra

Basic operations, Laws of indices, Brackets and factorization, Fundamental laws and precedence, Direct and inverse proportionality, Assignment

Simple equations

Expressions, equations and identities, Worked problems on simple equations, Further worked problems on simple equations, Practical problems involving simple equations, Further practical problems involving simple equations

Transposition of formulae

Introduction to transposition of formulae, Worked problems on transposition of formulae, Further worked problems on transposition of formulae, Harder worked problems on transposition of formulae, Assignment 4

Simultaneous equations

Introduction to simultaneous equations, Worked problems on simultaneous equations in two unknowns, Further worked problems on simultaneous equations, More difficult worked problems on simultaneous equations, Practical problems involving simultaneous equations

Quadratic equations

Introduction to quadratic equations, Solution of quadratic equations by factorization, Solution of quadratic equations by ‘completing the square, Solution of quadratic equations by formula, Practical problems involving quadratic equations, The solution of linear and quadratic equations simultaneously

Inequalities

Introduction to inequalities, Simple inequalities, Inequalities involving a modulus, Inequalities involving quotients, Inequalities involving square functions, Quadratic inequalities, Assignment 5

Straight line graphs

Introduction to graphs, The straight line graph, Practical problems involving straight line graphs

Graphical solution of equations

Graphical solution of simultaneous equations, Graphical solutions of quadratic equations, Graphical solution of linear and quadratic equations simultaneously, Graphical solution of cubic equations, Assignment 6

Logarithms

Introduction to logarithms, Laws of logarithms, Indicial equations, Graphs of logarithmic functions

Exponential functions

The exponential function, Evaluating exponential functions, The power series for ex, Graphs of exponential functions, Napierian logarithms, Evaluating Napierian logarithms, Laws of growth and decay, Assignment 7

Reduction of non-linear laws to linear-form

Determination of law, Determination of law involving logarithms

Graphs with logarithmic scales

Logarithmic scales, Graphs of the form y = axn, Graphs of the form y = abx, Graphs of the form y = aekx

Geometry and triangles

Angular measurement, Types and properties of angles, Properties of triangles, Congruent triangles, Similar triangles, Construction of triangles, Assignment 8

Introduction to trigonometry

Trigonometry, The theorem of Pythagoras, Trigonometric ratios of acute angles, Solution of right-angled triangles, Angles of elevation and depression, Evaluating trigonometric ratios of any angles

Trigonometric waveforms

Graphs of trigonometric functions, Angles of any magnitude, The production of a sine and cosine wave, Sine and cosine curves, Sinusoidal form A sin(?t ± a), Assignment 9

Cartesian and polar co-ordinates

Introduction, Changing from Cartesian into polar co-ordinates, Changing from polar into Cartesian co-ordinates, Use of R?P and P ?R functions on calculators

Areas of plane figures

Mensuration, Properties of quadrilaterals, Worked problems on areas of plane figures, Further worked problems on areas of plane figures, Areas of similar shapes, Assignment 10

The circle

Introduction, Properties of circles, Arc length and area of a sector, The equation of a circle

Volumes of common solids

Volumes and surface areas of regular solids, Worked problems on volumes and surface areas of regular solids, Further worked problems on volumes and surface areas of regular solids, Volumes and surface areas of frusta of pyramids and cones, Volumes of similar shapes, Assignment 11

Irregular areas and volumes and mean values of waveforms

Areas of irregular figures, Volumes of irregular solids, The mean or average value of a waveform

Triangles and some practical applications

Sine and cosine rules, Area of any triangle, Worked problems on the solution of triangles and their areas, Further worked problems on the solution of triangles and their areas, Practical situations involving trigonometry, Further practical situations involving trigonometry, Assignment 12

Vectors

Introduction, Ve

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