Book:A. Geary/Mathematics for Technical Students, Part One

Contents

 * PREFACE


 * ARITHMETIC


 * CHAPTER I
 * Decimals; factors; fractions; square root; ratio; proportion; percentage


 * ALGEBRA


 * CHAPTER II
 * Symbols and formulae; simple equations


 * CHAPTER III
 * Directed numbers; algebraic processes


 * CHAPTER IV
 * Further equations; transformation of formulae; simultaneous equations


 * CHAPTER V
 * Graphs of statistics and of algebraic expressions


 * CHAPTER VI
 * Graphs with directed numbers; use of graphs to solve equations and to find maxima and minima


 * CHAPTER VII
 * Indices and logarithms; slide rule


 * CHAPTER VIII
 * Further algebraic processes; factors; equations with two roots


 * CHAPTER IX
 * Ratio; proportion; variation


 * GEOMETRY


 * CHAPTER X
 * Fundamental ideas


 * CHAPTER XI
 * Symmetry; congruence; similarity


 * CHAPTER XII
 * Areas; Pythagoras' theorem


 * CHAPTER XIII
 * Loci


 * CHAPTER XIV
 * The circle


 * CHAPTER XV
 * Approximations to areas of irregular figures; areas of surfaces; volumes of solids


 * TRIGONOMETRY


 * CHAPTER XVI
 * Sine, cosine and tangent of angles; solution of right-angled triangles


 * CHAPTER XVII
 * Polar co-ordinates; vectors; ratios of $30^\circ$, $45^\circ$, $60^\circ$; graphs of sine and cosine of acute angles


 * CHAPTER XVIII
 * Ratios of angles of any magnitude; graphs of $a \sin p \theta$ and $a \cos p \theta$


 * Answers
 * Index
 * Tables