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== Table of Contents == {| class="wikitable" |- ! Chapter/Section # !! Title !! Page # |- ! colspan="3" | PART I: ALGEBRA |- ! colspan="3" | Chapter 1: Numbers |- | 1 || The integers || 5 |- | 2 || Rules for addition || 8 |- | 3 || Rules for multiplication || 14 |- | 4 || Even and odd integers; divisibility || 22 |- | 5 || Rational numbers || 26 |- | 6 || Multiplicative inverses || 42 |- ! colspan="3" | Chapter 2: Linear Equations |- | 1 || Equations in two unknowns || 53 |- | 2 || Equations in three unknowns || 57 |- ! colspan="3" | Chapter 3: Real Numbers |- | 1 || Addition and multiplication || 61 |- | 2 || Real numbers: positivity || 64 |- | 3 || Powers and roots || 70 |- | 4 || Inequalities || 75 |- ! colspan="3" | Chapter 4: Quadratic Equations |- ! colspan="3" | Interlude: On Logic and Mathematical Expressions |- | 1 || On reading books || 93 |- | 2 || Logic || 94 |- | 3 || Sets and elements || 99 |- | 4 || Notation || 100 |- ! colspan="3" | PART II: INTUITIVE GEOMETRY |- ! colspan="3" | Chapter 5: Distance and Angles |- | 1 || Distance || 107 |- | 2 || Angles || 110 |- | 3 || The Pythagoras theorem || 120 |- ! colspan="3" | Chapter 6: Isometries |- | 1 || Some standard mappings of the plane || 133 |- | 2 || Isometries || 143 |- | 3 || Composition of isometries || 150 |- | 4 || Inverse of isometries || 155 |- | 5 || Characterization of isometries || 163 |- | 6 || Congruences || 166 |- ! colspan="3" | Chapter 7: Area and Applications |- | 1 || Area of a disc of radius ''r'' || 173 |- | 2 || Circumference of a circle of radius ''r'' || 180 |- ! colspan="3" | PART III: COORDINATE GEOMETRY |- ! colspan="3" | Chapter 8: Coordinates and Geometry |- | 1 || Coordinate systems || 191 |- | 2 || Distance between points || 197 |- | 3 || Equation of a circle || 203 |- | 4 || Rational points on a circle || 206 |- ! colspan="3" | Chapter 9: Operations on Points |- | 1 || Dilations and reflections || 213 |- | 2 || Addition, subtraction, and the parallelogram law || 218 |- ! colspan="3" | Chapter 10: Segments, Rays, and Lines |- | 1 || Segments || 229 |- | 2 || Rays || 231 |- | 3 || Lines || 236 |- | 4 || Ordinary equation for a line || 246 |- ! colspan="3" | Chapter 11: Trigonometry |- | 1 || Radian measure || 249 |- | 2 || Sine and cosine || 252 |- | 3 || The graphs || 264 |- | 4 || The tangent || 266 |- | 5 || Addition formulas || 272 |- | 6 || Rotations || 277 |- ! colspan="3" | Chapter 12: Some Analytic Geometry |- | 1 || The straight line again || 281 |- | 2 || The parabola || 291 |- | 3 || The ellipse || 297 |- | 4 || The hyperbola || 300 |- | 5 || Rotation of hyperbolas || 305 |- ! colspan="3" | PART IV: MISCELLANEOUS |- ! colspan="3" | Chapter 13: Functions |- | 1 || Definition of a function || 313 |- | 2 || Polynomial functions || 318 |- | 3 || Graphs of functions || 330 |- | 4 || Exponential function || 333 |- | 5 || Logarithms || 338 |- ! colspan="3" | Chapter 14: Mappings |- | 1 || Definition || 345 |- | 2 || Formalism of mappings || 351 |- | 3 || Permutations || 359 |- ! colspan="3" | Chapter 15: Complex Numbers |- | 1 || The complex plane || 375 |- | 2 || Polar form || 380 |- ! colspan="3" | Chapter 16: Induction and Summations |- | 1 || Induction || 383 |- | 2 || Summations || 388 |- | 3 || Geometric series || 396 |- ! colspan="3" | Chapter 17: Determinants |- | 1 || Matrices || 401 |- | 2 || Determinants of order 2 || 406 |- | 3 || Properties of 2 x 2 determinants || 409 |- | 4 || Determinants of order 3 || 414 |- | 5 || Properties of 3 x 3 determinants || 418 |- | 6 || Cramer's Rule || 424 |- ! colspan="2" | Index || 429 |- |} {{Stub}} [[Category:Mathematics]]
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