## Money money

I am thoroughly enjoying Jordan Ellenberg’s “How not to be wrong”. This small post is some fun looking at Buffon’s coin puzzle. This shows a sample of twenty coins of varying radius relative to the underlying square. The fair game arises when the radius to length of square side is $\frac{1}{4+2\sqrt{2}}\approx 0.15$. The fraction in the boxes are the observed number of coins in the square and the predicted fraction. The value below the  box is the ratio of radius to square length.

Categories: Mathematica, Mathematics

## Joy in Small Things

I have learned a lot from the Mathematica Stackexchane community. I just crossed the 10 k…(it could easily go down). It has been a trying, stressful  period in the everyday life, the small thing brings me some joy. I am not an expert nor a professional, dwell on the simpler level of the question spectrum  and I have made some major gaffes (great opportunities to learn). I take each question as an opportunity to learn but learn the most from the creative, sometimes amazing but always inspirational other answers.

Peace to all, and solace to fellow sufferers of the ‘black dog’.

Categories: Mathematica

## Real Mathematical Analysis

This is another excellent Springer undergraduate Mathematics textbook. This book is clearly written. The book goes systematically progressively deeper. It covers continuty, differntiability, integration, introduces differential forms and Lebesgue theory. In addition to showing the results, the author shows the “pathological” functions, spaces and points to the wonderful unexpected results, e.g. unmeasurable sets and Banach-Traski paradox. I learned a lot from the Cantor sets.

I should have taken the time to dive into this book but even with my quick read, this book explains the strong foundations of  real analysis and calculus that we use in tame, smooth, well behaved domains and provides insights into the world beyond the tame shores I usually play in…”there be dragons out there”.

Categories: books, Mathematics

## A matter of heart

Here are some animated gifs explaining unit conversions in cardiology:

Categories: Uncategorized

## A Student’s Guide to Entropy

I have always found Entropy to be a difficult concept. This book is useful in improving understanding. I builds and explores the concept from classical, quantum physical and information theory perspectives. There is very useful discussion of statistical mechanicsand the derivation of the Maxwell-Boltzmann distribution. The relationship between classical and quantum physics results are well illustrated.

Categories: books

## Unknown Quantity

I enjoyed this book. The author has a very entertaining writing style. The book is historical journey from Mesopotamia to modern times tracing the development of algebra within the broader history of Mathematics. The author puts the developments in a historical context and provides insights into the characteristics/personalities (from what is available…little for some in the remote past) of the key figures in the development of algebra.

I am once again inspired to diminish my ignorance of Algebra.

Categories: books, Mathematics