| Preface 1 Squares 1．1 Square and Triangular Numbers 1．2 Pythagoras’S Theorem 1．3 The Equation a2+b2=C2 1．4 Sum of TWO Squares 1．5 Complex Numbers 2 Numbers。Numbers Everywhere 2．1 Difierent Bases 2．2 Congruences 2．3 Continued Fractions 2．4 The Euclidean Algorithm 2．5 Infinity 3 Fibonacci Numbers 3．1 Recurrence Relations 3．2 Fibonacci and Lucas Numbers 3．3 The Golden Section 4 Prime Numbers 4．1 Introduction 4．2 The Distribution ofPrimes 4．3 Large Primes 4．4 The Riemann Hypothesis 5 Choice and Chance 5．1 Arrangements and Permutations 5．2 Binomial Coemcients 5．3 Probability． 6 Geometrical Constructions 6．1 Ruler and Compasses 6．2 Unsolvable Problems 6．3 Properties of the Triangle 6．4 Coordinate Geometry 6．5 Regular Polyhedra 7 The Algebra of Groups 7．1 Introduction 7．2 Groups 7．3 Subgroups 7．4 Permutation Groups 7．5 Further Material 7．6 Groups of Small order 7．7 Dihedral and Polyhedral Groups References Index |
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