Mathematics for the General Course in Engineering - 1st Edition - ISBN: 9780080110356, 9781483137117

Mathematics for the General Course in Engineering

1st Edition

The Commonwealth and International Library: Mechanical Engineering Division, Volume 2

Authors: John Moore
Editors: N. Hiller G. E. Walker
eBook ISBN: 9781483137117
Imprint: Pergamon
Published Date: 1st January 1965
Page Count: 352
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Description

Mathematics for the General Course in Engineering covers the syllabus in mathematics for the general course in engineering. Topics covered deal with arithmetic, logarithms, and mensuration, along with algebra, geometry, and trigonometry. Examples and the corresponding answers are given at the end of each chapter. This volume is comprised of six chapters and begins with an introduction to arithmetic, with emphasis on how to compute fractions, decimals, averages, ratio, percentages, reciprocals, squares and square roots, and errors. The next chapter deals with logarithms and considers positive and negative numbers, the use of brackets, and indices as well as the laws of logarithms and the use of logarithms in calculations. Subsequent chapters focus on mensuration (right prism, oblique prism, sphere, average-area rule, etc.); algebra (signs, maxima and minima, graphical solution of equations, etc.), geometry (angles, intersecting chords, radians, etc.), and trigonometry (special angles, identities, sine rule, cosine rule, etc.).
This book will be a useful resource for students of mathematics and engineering.

Table of Contents


Units

Chapter 1: Arithmetic

Fractions

Decimals

Averages

Ratio

Percentages

Reciprocals

Squares

Square roots

Calculations

Comparison of Fractions and Decimals

Errors

Chapter 2: Logarithms

Positive and Negative Numbers

The Use of Brackets

Indices

The Use of Logarithms in Calculations

The Laws of Logarithms

Chapter 3: Mensuration

The Right Prism

The Oblique Prism

The Right Circular Cylinder

The Right Circular Cone

The Oblique Circular Cone

The General Cone

The Sphere

Similar Areas

Similar Solids

The Area Under the Velocity-Time Graph

The Area Under the Acceleration-Time Graph

The Area Under the Force-Distance Graph

The Average-Ordinate Rule

The Mid-Ordinate Rule

The Average-Area Rule

The Mid-Area Rule

Chapter 4: Algebra

Signs

The Use of Letters

Power of a Product

Power of a Fraction

The Laws of Brackets

Division

Factors

Fractions

Indices

Simple Equations

Problems Involving Simple Equations

Linear Simultaneous Equations

Problems Involving Linear Simultaneous Equations

The Construction of Formulae

The Transposition of Formulae

Quadratic Equations

Problems Involving Quadratic Equations

Variation

Plotting Straight Line Graphs

Finding the Law of a Straight Line Graph

The Meaning of a and b in the Equation y = ax + b

The Slope of the Distance-Time Graph

The Slope of the Velocity-Time Graph

Equations in Straight Line Form

Plotting Curved Graphs

Maxima and Minima

The Graphical Solution of Equations

Chapter 5: Geometry

Angle at the Centre of a Circle

Angle at the Circumference

Angles in the Same Segment

Angle in a Semicircle

Angle between Tangent and Chord

Angle in the Opposite Segment

Intersecting Chords

Radians

The Use of Tables

Length of an Arc

Area of a Sector

Chapter 6: Trigonometry

Solution of the Right-Angled Triangle

Special Angles

Identities

Angles of any Size

Radians

Slope of a Straight Line Graph

Sine and Cosine Graphs

Solution of Equations

Sine Rule

Cosine Rule

Area of a Triangle

Answers

Details

No. of pages:
352
Language:
English
Copyright:
© Pergamon 1965
Published:
Imprint:
Pergamon
eBook ISBN:
9781483137117

About the Author

John Moore

Affiliations and Expertise

University of North Colorado, Greeley, U.S.A.

About the Editor

N. Hiller

G. E. Walker