## An introduction to mathematical reasoning |

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### Contents

What Is Mathematics? | 1 |

Symbolic Logic | 5 |

A Review of Numbers and Notation | 23 |

Copyright | |

14 other sections not shown

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A A B ANALOGY AND GEOMETRIC Assume assumption axioms binomial coefficients Cauchy-Schwarz inequality Chapter 12 clearly column common logarithms completes the proof compute consecutive integers Consider contradiction counterexample defined digits DIRECT PROOF discussion division ring equation equivalent example exists F F F F T F factor false Figure finite differences formula function/(x FURTHER REVIEW TOPICS GEOMETRIC PROOF graph HOMEWORK PROBLEMS i=l i=l illustrate implies indirect method inequality infinite number integral domain irrational number lim f(x loga logarithms mathematical induction mathematical proof mathematicians method of proof natural number njn2 nonnegative number notice obtain odd number polynomial positive numbers prime number PROBLEMS FOR CHAPTER procedure properties proves the result rain tomorrow rational number reader real numbers satisfy SELECTED PROBLEMS set of real Show Similarly simplify solve square student subset summation notation symbolic logic theorem triangle trigonometric functions truth table universal quantifier verify written zero