A function with continuous nonzero derivative whose inverse is nowhere continuous is given. The function satisfies all the premises of the inverse function theorem except one: it is not defined on an ...

When my college-bound daughter recently informed us that she wanted to study mathematics as an undergraduate, I was delighted. I have been passionate about mathematics since Class X, when the ...

Perhaps nothing in mathematics is more useful for physics, chemistry, biology and engineering than differential equations. Isaac Newton had to invent calculus so he could write down the first such ...