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Blast into Math!                                                                   Contents



               6          Mathematical perspectives: all your base are belong to us             123
               6.1      Number bases: infinitely many mathematical perspectives                 123
               6.2      Fractions in bases                                                      134
               6.3      Exercises                                                               137
               6.4      Examples and hints                                                      140


               7          Analytic number theory: ants, ghosts and giants                       146
               7.1      Sequences: mathematical ants                                            146
               7.2      Real numbers and friendly rational numbers                              162

               7.3      Series: a tower of mathematical ants                                    171
               7.4      Decimal expansions                                                      184
               7.5      The Prime Number Theorem                                                194
               7.6      Exercises                                                               202
               7.7      Examples and hints                                                      205


               8        Afterword                                                               213



               9        Bibliography                                                            215
















































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