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Here’s Looking at Euclid

March 13, 2015 Leave a comment

I enjoyed this book.  It was an enjoyable journey through multiple areas of mathematics.  Numbers, euclidean  geometry, recreational mathematics, probability and statistics and finally non-euclidean geometry are presented with motivating current everyday examples being enriched by the historical developments that underpinned them. I particularly enjoyed the chapters on mathematical devices, e.g. Curta, recreational mathematics, the chapters on chance and statistics.  The mathematical discussions are interspersed with interesting personalities and personal anecdotes such as weighing baguettes ‘in search of’ the normal distribution, only to be thwarted by the heat…in the footsteps of Poincare.

Categories: books, Mathematics

A matter of luck

February 16, 2015 Leave a comment

“Regression to the mean: what it is and how to deal with it” (International Journal of Epidemiology 2005;34:215–220 [ doi:10.1093/ije/dyh299])is a very instructive paper.

 

I have taken the example and illustrated to demonstrate effect of between and within group variance and  number of sample measurements.

 

rtm01

 

 

rtm02

Categories: Mathematics

The Improbability Principle

February 13, 2015 Leave a comment

This is an excellent book. It is extremely well written. It fits well with “Black Swan” and “Thinking fast and slow” in importantly making us aware of underlying statistical considerations in interpreting coincidence, clusters,  extreme value or apparently extremely low probability events. The author gathers these considerations under the “improbability principle” and through real examples and instructive toy examples beautifully explains very important biases and limitations. He provides helpful labels such: “law of truly large numbers”, “laws of selection”, :law of probability leverage”  covering topics such as: hindsight bias, lead time bias, base rate fallacy, prosecutots fallacy, the effects of fat tailed distributions.

I enjoyed this book and sadly (but wonderfully) it exposed some of my own hidden biases and misconceptions. It is always good to be shaken out of complacent lazy and convenient thinking.

 

Categories: books, Mathematics

Evanescence

November 8, 2014 1 comment

ubpdqnIt has been a challenging time of late…the evanescence of life, I am a speck of dust floating aimlessly on a turbulent sea.   Using some code from the talented MSE users( @RahulNarain and @MichaelE2) I digitized my handwritten ambigram and with Mathematica produced the animated gif…

Categories: Mathematica

Introduction To Probability

October 24, 2014 Leave a comment

This is a wonderful textbook that complements Professor Blitzstein’s Harvard STAT10 course.

 

I was very much looking forward to this textbook. I was not disappointed. The book follows closely the course. The concepts are clearly explained and the use of story and the examples work very well. The concepts accumulate gradually but steadily to increasingly complex subjects.

The book affirms Professor Blitzstein’s aphorism: “conditioning is the soul of statistics” and helps to use this principle in tackling a broad and deep swathe of problems.

 

Categories: books, Mathematics

Beautiful Symmetry

October 11, 2014 Leave a comment

It has been a very difficult time of late. The sudden unexpected passing of the person who has had the most significant developmental influence on my life continues to cast a long shadow over my life (as it should). My thoughts and focus has been poor. I still learn a lot and derive a lot of satisfaction from Mathematica Stackexchange.

This post is to share a beautiful answer by user ybeltukov that converts the problem to a simpler spherical one and exploits the symmetry.  The answer is here (beautiful).

ellipsoid

Categories: Uncategorized

The Quantum Universe: Everything That Can Happen Does Happen

October 11, 2014 Leave a comment

This is a readable book. I enjoyed it. It makes a valliant attempt to explain quantum theory. The click analogy is useful. However, I was less convinced by the style and approach than I thought I would. The authors are clear and deliberate and try to focus on concepts and use the minimum amount of Mathematics required to get their aim across.

Categories: books
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