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Blast into Math!                                                                   Contents


               Contents






                        Preface                                                                    8
                        Acknowledgments                                                            9


               1        To the reader                                                            11


               2          Pure mathematics: the proof of the pudding is in the eating            13
               2.1      A universal language                                                      14

               2.2      Theorems, propositions, and lemmas                                        15
               2.3      Logic                                                                     15
               2.4      Ready? Set? Prove!                                                        22
               2.5      Exercises                                                                 24
               2.6      Examples and hints                                                        25


               3          Sets of numbers: mathematical playgrounds                              28
               3.1      Set theory                                                                28
               3.2      Numbers                                                                   34

               3.3      The least upper bound property                                            46












































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