## Fundamental Concepts of MathematicsBasic concepts of number theory are discussed. Topics include set theory, mathematical induction, com-binatorics, arithmetic, real numbers, limit and convergence, and complex numbers. |

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algebra algorithm Argand diagram arithmetic balls bijection boxes called coefficients common divisor complex number congruence Consider convergent sequences correspondence Deduce defined definition denote digits distinct divergent divisible Example EXERClSE factors Find the number finite number formula gcd(a geometric given greatest common divisor Hence holds increasing sequence inequality least element least upper bound ln other words ln particular lt follows mapping mathematical induction multiplication natural number non-empty set notation null sequence number line number n number of arrangements number system objects permutations plane positive integer positive number positive real number postulate of continuity prime numbers principle of mathematical Proof quadratic equation quaternions rational numbers relatively prime represented roots of unity rule Section sequence xn Similarly solutions statement step straight line subset Suppose surjective Theorem true values well-ordering principle zero