Archive for September, 2013

On Fibonacci-style Sequences

Sunday, 29 September 2013

The Fibonacci sequence F_0, F_1, F_2, \dots which begins 0, 1, 1, 2, 3, 5, \dots is defined by

F_{0} = 0

F_{1} = 1

F_{n+2} = F_{n} + F_{n+1}

(the starting values vary by author).

This is a special case of a more general sequence given by



a_{n+2} = b \cdot a_{n} + c \cdot a_{n+1}

There are at least three ways to determine such a sequence. I explore those here.



Books – Non-fiction – Text Books

Sunday, 29 September 2013

Serious, technical books I recommend.

These are listed in no particular order

The Continuity of Life
Daniel J. Fairbanks, W. Ralph Andersen

Lectures on Physics
Richard Feynman

Concrete Mathematics
Ronald L. Graham, Donald E. Knuth and Oren Patashnik

Books – Non-fiction

Sunday, 29 September 2013

Here are some non-fiction books that I recommend.


Books – Fiction – Recent Modern

Sunday, 29 September 2013

A list of contemporary books that I’m particularly fond of.


Books – Fiction – Modern Classics

Sunday, 29 September 2013

A list of books that I’m particularly fond of.
I didn’t discover the modern classics until relatively late in life.