Mathematics in the Modern World (First Year College) PDF

Fibonacci Problems with the English language  infinite sequence of natural numbers -sometimes not precise  first value is 0, the next is 1, to get the next -sometimes not...

Fibonacci Problems with the English language  infinite sequence of natural numbers -sometimes not precise  first value is 0, the next is 1, to get the next -sometimes not concise number add the previous number -sometimes is ambiguous Golden Ratio Mathematical symbols a a+b = =φ(Phi)=1.61803399 b a  Numbers  Letters Example:  Binary operations  Special characters Examples: 1 1. One-half is a rational number ∈Q 2 2. A number is seven times another number x=7 y 3. A number is between -3 and 8. −3< n< 8 4. The difference of two consecutive number is ( x +1 )−x=1 5. The square of a whole number is a non-negative Language of mathematics integer a 2=b 6. The sum of a number and 6 n+6 7. The product of two numbers a x b 8. Eight less than a number n–8 9. Five more than four times a number 4x + 5 10. The sum of the squares of two numbers (x+y)2 1 11. One eight of a number n 8 12. Three less than twice a number 2n-3 RULES: Eight less than a number ------------- n-8 Eight less a number -------------- 8-n Eight is less than a number ---------- -8