Moore / Hiller / Walker Mathematics for the General Course in Engineering

The Commonwealth and International Library: Mechanical Engineering Division, Volume 2
1. Auflage 2013
ISBN: 978-1-4831-3711-7
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 352 Seiten, Web PDF

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.

Autoren/Hrsg.

Moore, John C

Hiller, N.

Walker, G. E.

Inhaltsverzeichnis

1;Front Cover;1
2;Mathematics for the General Course in Engineering
;4
3;Copyright Page;5
4;Table of Contents;8
5;Note to the Student;6
6;Units;10
7;CHAPTER ONE. Arithmetic;12
7.1;FRACTIONS;12
7.2;DECIMALS;19
7.3;AVERAGES;25
7.4;RATIO;26
7.5;PERCENTAGES;27
7.6;RECIPROCALS;30
7.7;SQUARES;32
7.8;SQUARE ROOTS;34
7.9;CALCULATIONS;39
7.10;COMPARISON OF FRACTIONS AND DECIMALS;42
7.11;ERRORS;46
7.12;EXAMPLES 1;48
8;CHAPTER TWO. Logarithms;54
8.1;NUMBERS;54
8.2;THE INDEX NOTATION;58
8.3;THE LAWS OF INDICES;59
8.4;LOGARITHMS;62
8.5;LAWS OF LOGARITHMS;77
8.6;EXAMPLES 2;80
9;CHAPTER THREE. Mensuration;84
9.1;THE RIGHT PRISM;84
9.2;THE OBLIQUE PRISM;86
9.3;THE RIGHT CIRCULAR CYLINDER;87
9.4;THE RIGHT CIRCULAR CONE;90
9.5;THE GENERAL CONE;99
9.6;THE SPHERE;101
9.7;AREAS OF SIMILAR FIGURES;108
9.8;SURFACE AREAS AND VOLUMES OF SIMILAR SOLIDS;112
9.9;IRREGULAR VOLUMES;126
9.10;EXAMPLES 3;128
10;CHAPTER FOUR. Algebra;133
10.1;SIGNS;133
10.2;LETTERS;136
10.3;DIVISION;145
10.4;FACTORS;148
10.5;FRACTIONS;152
10.6;INDICES;157
10.7;SIMPLE EQUATIONS;162
10.8;PROBLEMS;167
10.9;LINEAR SIMULTANEOUS EQUATIONS;169
10.10;PROBLEMS;174
10.11;THE CONSTRUCTION OF FORMULAE;178
10.12;THE TRANSPOSITION OF FORMULAE;183
10.13;QUADRATIC EQUATIONS;186
10.14;PROBLEMS;198
10.15;VARIATION;202
10.16;STRAIGHT LINE GRAPHS;209
10.17;CURVED GRAPHS;230
10.18;MAXIMA AND MINIMA;235
10.19;GRAPHICAL SOLUTION OF EQUATIONS;238
10.20;EXAMPLES 4;243
11;CHAPTER FIVE. Geometry;256
11.1;ANGLES SUBTENDED BY AN ARC;256
11.2;ANGLE BETWEEN TANGENT AND CHORD;262
11.3;INTERSECTING CHORDS;264
11.4;LENGTH OF AN ARC;271
11.5;AREA OF A SECTOR;272
11.6;EXAMPLES 5;276
12;CHAPTER SIX. Trigonometry;279
12.1;TANGENT OF AN ANGLE;279
12.2;SINE OF AN ANGLE;282
12.3;COSINE OF AN ANGLE;285
12.4;SPECIAL ANGLES;288
12.5;IDENTITIES;290
12.6;ANGLES OF ANY SIZE;294
12.7;THE FOUR QUADRANTS;301
12.8;RADIANS;304
12.9;SLOPE;304
12.10;SINE AND COSINE GRAPHS;305
12.11;SOLUTION OF EQUATIONS;309
12.12;SOLUTION OF TRIANGLES;311
12.13;SINE RULE;313
12.14;COSINE RULE;319
12.15;AREA OF A TRIANGLE;325
12.16;EXAMPLES 6;328
13;Answers;333
13.1;EXAMPLES 1;333
13.2;EXAMPLES 2;335
13.3;EXAMPLES 3;337
13.4;EXAMPLES 4;338
13.5;EXAMPLES 5;345
13.6;EXAMPLES 6;346
14;Answers to the Text Examples;349