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. |
Common terms and phrases
a₁ algebra algorithm an+1 Argand diagram arithmetic b₁ balls bijection boxes coefficients common divisor complex number congruence convergent sequences correspondence decimal Deduce defined definition denote digits distinct divisible Euclidean algorithm Example EXERCISE factors Find the number finite number formula geometric given greatest common divisor Hence holds inequality irrational least element least upper bound mathematical induction multiplication n-th root n-th term n₁ natural number non-empty set notation null sequence number line number n number system objects p₁ permutations plane positive integer positive number positive real number postulate of continuity prime numbers principle of mathematical Proof prove quadratic equation quaternions r₁ r₂ rational numbers represented rule solutions statement step straight line subset Suppose surjective Theorem well-ordering principle z₁