The Pleasures of MathThis book provides an inkling of some of the exciting things that await the delver into mathematics. It is directed to four distinct groups: high school students who intend to become scientists; high school math teachers who want to do a better job of teaching; college students who want to know more than the standard courses offer; and finally, parents who wish to widen their horizons in order to encourage and stimulate the intellectual growth of their children. The topics addressed are those which should form part of a standard curriculum, but are often dropped or diluted. Mathematics is the greatest game ever invented by man--learn to play the game a little, and perhaps enjoy it! |
Contents
A fiveminute history of mathematical symbols | 14 |
Mathematical Induction | 24 |
Magic Squares | 40 |
Copyright | |
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Common terms and phrases
angle arithmetic axis bisector boundary curves called Chapter circle coefficients colored properly convex countries definition denote diagonals ellipse equal equation Euler's Euler's formula Euler's Theorem example Exer Exercise F1 and F2 factors formula four colors function geometry given gives graph greatest common divisor hence indicated in Figure inequality intersection isoperimetric theorem letters Lieber line segment magic constant magic cube magic square mathe mathematical induction maximum minimum normal map number of different obtain P₁ pair panmagic square parabola Pascal's triangle perimeter perpendicular points P1 polygon polynomial positive integer positive numbers problem proof Prove Pythagorean triple radius rectangle region right circular cone sequence shown in Figure sides Solution sphere square of third straight line Suppose symbol symmetry tangent theorem things taken third order torus twin primes valid values vertex vertices x-axis zero