I'm going to live blog Apostol's Calculus.

Why?

Because WHY NOT, that's why.

Introduction

Part 1 - Historical Introduction

1.1 The two basic concepts of calculus

1. "Calculus is more than a technical tool - it is a collection of fascinating and exciting ideas that have interested thinking men for centuries". Uff...
2. "These ideas have to do with speed, area, volume rate of growth, continuity, tangent line."  Tangent line? That sounds weird.

1.2 Historical Background

1. Method of exhaustion: "Given a region whose area is to be determined, we inscribe it in a polygonal region which approximates the given region whose area we can easily compute. Then we choose another polygonal region which gives a better approximation, and we continue the process taking polygons with more and more sides in an attempt to exhaust the given region." Wait. What happens to the "easily compute" part once you start taking more and more regions?
2. It was used successfully by Archimedes to find exact formulas for the area of a circle and few other special figures. Holy shit. You get pi if you keep on doing that? How?

1.3 The method of exhaustion for the area of a parabolic segment

1. We're going to do that shit now, aren't we?
2. So, archimedes says that if you draw f(x) = x^2, then the area under the curve you get is equal to one third the area of the rectangle you draw by putting two random line segments at x = 0 and x = b. Which makes sense now, because integral of x^2 is (x^3)/3 and x^3 is nothing but the area of the rectangle with sides x and x^2.

.Technical stuff follows, convincing me that Archimedes had to have been a first rate genius. 

I'll be back with more (I'm on page six now, by the way). See you soon, blog.

UPDATE: I realized this was a terrible idea two days later. Not doing it anymore.