Mathematics is not a spectator sport数学不是一种观赏性体育项目

书籍目录

Preface1  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 Numbers2 Numbers。Numbers Everywhere  2．1 Difierent Bases  2．2 Congruences  2．3 Continued Fractions  2．4 The Euclidean Algorithm  2．5 Infinity3 Fibonacci Numbers  3．1  Recurrence Relations  3．2 Fibonacci and Lucas Numbers  3．3 The Golden Section4 Prime Numbers  4．1  Introduction  4．2 The Distribution ofPrimes   4．3 Large Primes  4．4 The Riemann Hypothesis5 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 Polyhedra7 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 GroupsReferencesIndex

作者简介

Compared to other popular math books, there is more algebraic manipulation, and more applications of algebra in number theory and geometry  Presents an exciting variety of topics to motivate beginning students  May be used as an introductory course or as background reading

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