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Finance Math

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Ancient Israelite Arithmetic

How would an ancient Israelite do arithmetic like multiplication? This may be relevant to the Hebrew word אֶלֶף transliterated as eleph or elef

What Is Stochastic Calculus?

Ordinary calculus, as in the first calculus people learn, is deterministic. There are functions in this calculus, whether trig functions like cosine or polynomial functions like f(x) = x3 + 2×2 , and these have definite answers/outputs. In other words, their paths are known with certainty. Stochastic calculus instead deals with processes whose paths are […]

math of finance book

Itô’s Integral and How to Calculate It

The first thing to be said about Itô’s Integral is that it isn’t really an integral in the same sense as an area under a curve basic calculus or Riemann rectangles integration way. An Itô Integral is really fundamentally a finance calculation. It can and frequently does contain negative values. What sort of rectangle has […]

math of finance book

Essentials of Calculus for Finance Professionals

Big Ideas of Calculus As odd as this sounds, what we now refer to as Calculus (or as Real Analysis if we’re British) was independently invented by Isaac Newton in England and GW Leibnitz in Germany during the 1600s. It would be hard to overstate its importance. Basically everything we know about the world from […]



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