Doing Math with Python: Chapters 5 and 6 in early access

I am excited to share that the fifth and sixth chapters are available as part of the early access of my book Doing Math with Python.

Chapter 5: Sets and Probability

This chapter starts off with how to create a set and demonstrating the common set operations. Utility of the different set operations are demonstrated via simple applications. For example, Cartesian product is used to write a program to simulate an experiment to calculate the time period of a simple pendulum of different lengths and at places with varying gravity. Union and intersection operations are applied to finding the probability of events.

The chapter then moves onto discussing how to generate uniform and non uniform random numbers, and using them to simulate scenarios such as a die roll and a fictional ATM which dispenses dollar bills of different denominations with varying probability.

One of the challenges at the end discusses drawing venn diagrams.

Chapter 6: Drawing shapes and Fractals

This chapter is logically divided into two parts. The first part introduces the reader to matplotlib patches which allows drawing geometric shapes (circles and polygons), followed by matplotlib’s animation API which allows drawing animated figures. The trajectory of a projectile motion discussed elsewhere in various contexts is animated combining both these things.

The second part of the book introduces the concept of geometric transformation. Combining that with the knowledge of generating random numbers learned earlier in Chapter 5, the reader will learn how to draw fractals such as the Barnsley Fern.

The challenges at the end gives the opportunity for the reader to explore the Sierpinski triangle and Henon’s function.

Trying out the programs

Using the Anaconda distribution (Python 3) should be the easiest way to try out all the programs in the book. You will need matplotlib, sympy 0.7.6 and matplotlib_venn to try out the programs. An installation guide will be available online soon.

Stay updated

I am working on the last chapter for the book. You can stay updated on the book via various channels:

Blog posts: http://echorand.me/category/doingmathwithpython/

Facebook page: https://www.facebook.com/doingmathwithpython

G+ Community: https://plus.google.com/u/0/communities/113121562865298236232

Twitter: https://twitter.com/mathwithpython

If you are interested in taking a look at a sample copy, I can try to get a sample for you to look at the current pre-released version of the book. Please feel free to get in touch.

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Doing Math with Python: Stay Updated

I am reaching the final stages of my new book. Here are few ways to stay updated about the book:

Blog posts: http://echorand.me/category/doingmathwithpython/

Facebook page: https://www.facebook.com/doingmathwithpython

G+ Community: https://plus.google.com/u/0/communities/113121562865298236232

Twitter: https://twitter.com/mathwithpython

If you are an educator/teacher, I can also try to get a sample for you to look at the current pre-released version of the book.

IEEE CEC 2011: Post-conference Thoughts

I am currently sitting by the window of my 10th floor of my hotel room and New Orleans looks beautiful at this time of the night. The neon glows of the hotels and shops around and the lights of those huge wooden/steel bodies on the mighty Mississippi is quite a spectacle for my bespectacled eyes. The IEEE Congress on Evolutionary Computation 2011 concluded today.  Over three days of paper and poster presentations, plenary lectures, cruise dinner on the steamboat Natchez and the sumptuous banquet last night, it was an awesome conference. Thank you Dr. Alice Smith and congratulations on the wonderful conference, which must have given you a lot of sleepless nights.

Here are some rough notes/thoughts/rants on the conference:

Plenary lectures

Each of the three days of the conference began with a plenary lecture. Natalio Krasnagor delivered the lecture on the first day talking about his work at the confluence of Natural sciences and Evolutionary Algorithms. Holger Hoos delivered the lecture on the 2nd day  where he had a lot of interesting things to talk about his research and mostly on topics of automating software development, having more degrees of freedom in software and algorithm selecting algorithms. Hod Lipson delivered the last of the plenary lectures and demonstrated his work on Evolutionary robotics and his super work, Eureqa. A lot to take home from each of these lectures. Enlightening and inspiring.

Interesting ideas/papers presented

• A lot of work is being done on Genetic Programming, mainly as tools — in varied domains, from edge detection to blog network modeling. Once the IEEE CEC proceedings are indexed by IEEExplore, it would be very interesting to go through these papers. Available here.
• Multi-view classification
• Representation plays a key role in EAs and Daniel Ashlock‘s tutorial on this topic was (or supposed to be) quite enlightening, but I think I was busy doing something else. However, I intend to go through the slides he used and get an idea of the variety of representation schemes for different applications.

Rants

I usually tend to set high standards for myself and more often than not fail to achieve them, which ofcourse doesn’t deter me in setting them in the first place. Seeing a lot of “well known” people in this field presenting trivial works at a premier conference was quite disheartening. One good thing it does is that it makes me feel that may be I should be a little gentle to myself.

I wanted to change the world, but they lied to us

I don’t know about you, but I almost always think myself to be the cover page of the major world news papers or its nearest domain equivalent, whenever I do something cool/nice/interesting (according to myself, ofcourse). I thought writing up a paper titled “How does the good old GA perform at Real World Optimization?” would irk a lot of people and elicit reactions out of them. I guess nothing really matters. Sigh.

Well, anyway I am taking back a lot from this conference at the Big Easy. Good bye Poboy’s and Gumbo!