Completed
So the problem of multiplication and division can be reduced to that of addition and subtraction.
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
The Number `E' by Tanvi Jain
Automatically move to the next video in the Classroom when playback concludes
- 1 The number ' e'
- 2 What is e? Is this just a number
- 3 The first hint of
- 4 How will you solve this? We will need to solve for the equation:
- 5 A question on compound interest
- 6 If the amount is compounded twice, each time at the interest rate of 50%.
- 7 Observations:
- 8 Let's see...
- 9 Logarithm and John Napier
- 10 So the problem of multiplication and division can be reduced to that of addition and subtraction.
- 11 Squaring a hyperbola
- 12 Coming to the early seventeenth century
- 13 Area of the region bounded by y = x", x = and x = a.
- 14 Similarly, the area of the region bounded by the curves y = x-",
- 15 A look at the hyperbola
- 16 The appearance of logarithm
- 17 The series for and the work of Newton
- 18 which implies ao = 0. Comparing the coefficient of y.
- 19 Derivative of an exponential function
- 20 Derivative of bx
- 21 The "natural "exponent Derivative of any exponential function is a constant multiple of the function itself.
- 22 The notation for the natural exponent
- 23 Is an integer?
- 24 rational or irrational
- 25 Since is not an integer, q 2 2. Hence q + 1 2 3.
- 26 Euler's proof of the irrationality of
- 27 The exponential function on complex numbers
- 28 Occurrences of
- 29 e'" Paradox