Differentiation is a skill Integration is an art

Quote of the week: DIFFERENTIATION IS A SKILL. INTEGRATION IS AN ART. 

I was delighted to find this quote at the start of Se├ín M. Stewart‘s book “How to Integrate it“.One of the main differences between GCSE and A-level maths is the introduction of calculus. This branch of maths makes sense of the infinitely small, allowing us to deal with quantities that vary continuously (often over time)

Quotation: God made the integers, all else is the work of man

QUOTE OF THE WEEK: “God Made the Integers. All Else is the Work of Man” 

… or so thought Leopold Kronecker (1823-1891) in his famous quote. WHY KRONECKER WAS WRONG: the integers (whole numbers) include the Positive Integers or “counting numbers” 1, 2, 3, 4 and so on: easy for a child to understand. We could quite reasonably argue they are “made by God”. But the integers also include zero,