IN BRIEF Transcendental numbers: Numbers that are not roots of any non-zero polynomial. Rational numbers: Numbers that cannot be expressed as a fraction. Property of being transcendental: Corresponds to the absence of a polynomial with integer coefficients that would annul it. Notable examples: π and e are common examples of transcendental numbers. Algebraic numbers: Contrast … Read more
IN BRIEF Complex analysis: area of study of complex numbers. Definition of a complex number: z = a + bi with a and b real, i imaginary unit. Visualization of complex numbers in the plane with coordinates. Operations on complex numbers: addition, subtraction, multiplication, etc. Basic concepts related to imaginary numbers and their importance in … Read more
IN BRIEF Prime number: a natural integer divided only by 1 and itself. Examples of prime numbers: 2, 3, 5, 7, 11, 13. Importance in arithmetic: every number is uniquely decomposed into products of prime numbers. Cryptography: prime numbers ensure the security of online data. Historical developments, notably by Eratosthenes and his sieve. Essential role … Read more
IN BRIEF Even numbers : integers that are multiples of 2. Odd numbers : integers that are not multiples of 2. An integer is even if it ends with 0, 2, 4, 6, or 8. An integer is odd if it cannot be divided by 2 without a remainder. The sum of several odd integers … Read more