Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Saturday, June 14, 2014

Feynman's Rainbow: A Search for Beauty in Physics and Life (Leonard Mlodinow)

One day early this year, I arrived at my workstation surprised to find a book entitled "Feynman's Rainbow" on my desk. It came with a note that read "Something to start the week on an upbeat note. Have a wonderful day, Melo. :) J". Reading the title, I immediately thought of the famous physicist Richard Feynman and quickly scanned the back blurb and was happy to be the recipient of such a book. Another item in my collection, and something related to quantum physics!

I brought the book with me to Bohol and started to read a few pages while in Dumaluan beach in Panglao, Bohol. I didn't finish it though because the allure of the scenery was quite distracting and I kept looking far out into the sea. At that time though I was more than excited to read about one of the biggest minds that I admire, Richard Feynman the physicist.

I first learned of the him as a college freshman in UP Diliman. One of his essays was part of our reading list for Natural Science 1 class, a course I unfortunately failed to enjoy because of the large class and I often fell asleep despite whatever resistance I put up. Later on, getting hooked on chaos theory and ultimately to quantum physics mainly because of Dr. Amador Muriel's talk in our STS class in my final year, I would always encounter his name in the books that I read.

Later on, curious about the man, I did a quick search on the net and downloaded an ebook entitled "Sure You're Joking, Mr. Feynman", read the first few pages and decided that the man is bigger than I thought. His is a curious mind since his childhood days as he spent his early years tinkering with radios and shortly after doing repair jobs while young.

So having a book written by a younger physicist about his encounter with Feynman thoroughly made my day. I wanted to see how others viewed him, how he influenced and inspired others, and also look into how his mind works, what he's like as a person. I didn't expect to be teary-eyed after reading "Feynman's Rainbow".

The book narrates Mlodinow's arrival in Caltech where he was worrying about what physics problem to work on, aside from his doubts if he has what it takes to be a scientist. Meeting Richard Feynman, then already a big man in the physics world, made him realize many things. According to Mlodinow, Feynman loved math and physics but disliked philosophy and psychology, something I found weird since I've always thought that math and philosophy could make very good bedfellows. Despite this, I found the man pretty much like those ancient philosophers who can offer great insights into many things.

Many passages in the book made me imagine scenes were the book  made into an animé, and I am more than sure that if this book were adapted to a film or series, I would certainly cry. I was thinking of the animé Honey and Clover, that series which I consider as one of the best series for its profound insights into human relationships, happiness, and life in general. In the same way, this book, although focusing on physicists and physics, has that power to inspire its readers. Personally, getting to know more about Feynman, I think I share an affinity with the man and it comforts me that I am and will be alright, too, because we share the same outlook in life--- never wasting time on things that do not rouse interest, being imaginative and intuitive and a bit pragmatic, not minding much if what we work on is deemed significant or not by others as long as it retains interest and enthusiasm, and most importantly, looking at the world through a child's lens and appreciating the beauty of phenomena and getting inspired in the process. I am also amused at how he would attend a seminar just for the cookies, something I am guilty of doing in most cases.

For instance, when asked if Mlodinow has that something special to be a scientist, Feynman answers that being a scientist is not different from the average person in that we all think in a constructive way, we all use our imagination, that the only difference is that scientists analyze things thoroughly like a detective out to solve a mystery with only a handful of clues. I love how Feynman does not elevate the status of scientists as most are wont to do because they feel they are intellectually superior to other human beings.

The book contains a lot of wise words from Feynman and here are some of them:

"(...) When there is a hard problem, one has to work a long time and has to be persistent. In order to be persistent, you have got to be convinced that it's worthwhile working so hard, that you're going to get somewhere. And that takes a certain kind of fooling yourself." (p.59)

"When asked if it would be wise to work on something that everyone else thinks is nonsense, Feynman simply says, "only under one condition (...) that you don't think it's nonsense." Continuing, he says, "Maybe you just don't know enough, or haven't known it long enough, to be spoiled by what you know. Too much education can cause trouble." (p.78)

"(...) Whatever you choose to work on, be your own worst critic. And don't do it for the wrong reasons. Don't do it unless you really believe. Because if it doesn't work out, you could end up wasting a lot of time." (p.94)

And the following dialogue when the topic shifted to rainbows:

 ‘Do you know who first explained the true origin of the rainbow?’ I asked.
‘It was Descartes,’ he said.  After a moment he looked me in the eye.
‘And what do you think was the salient feature of the rainbow that inspired Descartes’ mathematical analysis?’ he asked.
‘Well, the rainbow is actually a section of a cone that appears as an arc of the colors of the spectrum when drops of water are illuminated by sunlight behind the observer.’
‘And?’
‘I suppose his inspiration was the realization that the problem could be analyzed by considering a single drop, and the geometry of the situation.’
‘You’re overlooking a key feature of the phenomenon,’ he said.
‘Okay, I give up. What would you say inspired his theory?’
‘I would say his inspiration was that he thought rainbows were beautiful.’

I especially loved the latter part of the book when, as Feynman was nearing his death due to his sickness, he would talk about his family, how he would regret not seeing his daughter grow up (though he did see her reach adulthood), how he shared that he loved his wife Arlene but that he didn't grew resentful even after her death and just accepted that there are things beyond our control (something I am trying hard to learn). I love reading about the humane side of big people, they inspire all the more when we can see their struggles. Another thing I loved about the man is how generous he had been, as he shared bits of wisdom to enlighten a lost man.
---------------------------
To J whoever he/she is, thank you for giving me this book. I don't know what's on your mind when you picked it for me but whatever it is, thank you for thinking of me.

Friday, December 6, 2013

November

November is a rather gloomy month mainly because of Supertyphoon Yolanda leaving most of Visayas devastated. The deadly typhoon has now been confirmed to have taken more than 5000 lives and many are yet to be found. What's heartbreaking is that relief operations are chaotic and donations were not efficiently delivered to those in need. Many, including me, suspect that those in office are taking advantage of this tragedy to pocket money for themselves since donations by corporations and nations were not transparently announced. Nor will the public ever know if the funds will completely be used to deliver relief and aid in rebuilding houses and lives.

It just happened so soon, and barely a month after a major earthquake that destroyed most of Visayas' heritage structures in October. I could still remember the disgust I felt upon hearing someone (certainly not a friend of mine) say "This is it! It's our time to shine!" It felt so wrong, to take advantage of the situation to uplift one's self. At that moment, I was repulsed by the hypocrisy and by the shallowness of that person. How different is she from those politicians who added to the delay in relief delivery by demanding that donations go through their office first? Or how about those who, despite much criticism from the media, still resort to packing goods with their names on the bags? Printing those plastic bags means more resources spent, not just money but also time.

As an environmentalist, I cringe at how relief goods are packed using plastic bags. It's good if people reuse plastic bags or dispose of these properly. But in my observations, Filipinos are not very good at taking care of their surroundings and random disposal seems to be the norm. In soup kitchens, I wonder how many disposables are used and end up as trash afterwards? Sometimes I don't wanna think about these but they haunt my mind.

So instead of giving money as donation, I chose to give old clothes and volunteer at UP National Institute of Physics. The department initiated PROJECT LIGHTLINE, which aims to create portable cellphone chargers from old and broken ones. The concept behind this is joule thief. (I'm no scientist and I only got to work on circuits when I volunteered for this project so I'm in no position to talk about how to make a joule thief.) What I understood from my own research though is that a joule thief gets energy from seemingly drained batteries and then give energy to power something. (Just how vague was that???) Anyhow, I was glad to learn parts of a circuit--- diodes, transformers, transistors, capacitors, resistors, etc. I also learned how to solder and desolder. For a while I thought how cool it would be to take up some TESDA courses to be able to hone my skills. (But I already have my hands full with calculus alone... Poor brain of mine.)

Photo taken here
Facebook: https://www.facebook.com/ProjectLightline

a circuit I assembled (a masters student coached me on what to put together)
Another highlight of my November is that I got to finally donate blood!!! I was once rejected because I was "anemic". Maybe I just lacked sleep at that time. It makes me happy to be able to pay it forward. I may not be able to pay back the person whose blood was transferred to me when I got dengue many many years back but I hope someone will benefit from my blood.

And just when I thought that Ilocos would be last of my trips this year, I found myself happily joining my two office friends and their friends to Baler. The end of the month saw me suddenly buying makeup and having the desire to learn how to properly put on makeup.

The last day of November, the 30th, and also Bonifacio Day, was spent with a very dear friend. We had a quick lunch at Sci Fi Cafe. (I was disappointed with the Aligue pasta but I LOVE their nachos!) We watched The Addams Family Musical at the Meralco Theater. Having watched the cartoon show in my childhood days, I am reminded of how both strange and adorable this eccentric family is. This time, my favorite character is Uncle Fester. I can't stop laughing at his solo number about his love for the moon! (Fellow lunatics unite!)

Hoping that in December I get to at least finish studying Calculus. Though of course it doesn't mean that learning will stop altogether since I haven't fully mastered everything. Integration and antiderivatives are driving me crazy... I wonder what I'll be studying next.

Sunday, November 10, 2013

Excel!

Yesterday while solving for a problem involving linear approximation and having so many decimal numbers with only an ordinary calculator (the one that is packaged in a laptop machine), I was already feeling so slow and so helpless since I am used to thinking and acting fast. I thought, if only I were a programmer, or if only I knew a programming language, things could be easier. And then I thought that maybe Excel can do the job.

Now don't get me wrong. I'm not good at Excel. I owe it to the fact that I was traumatized by it when I was in grade school. At that time, it was my second to the last year in elementary when we were taught basic Excel lessons. I had a hard time catching up because I couldn't see then how I could use it in a practical way. I almost flunked my Computer subject. Almost but not quite because thank Heavens on the day of our final exams, I had an epiphany JUST IN TIME. I suddenly became aware of how Excel works. Probably one of the mysteries of the mind when under a panic attack. It saved me from being kicked out of the honor roll.

In highschool, I was praised for being one of the few who can do basic programming. That was my first time to have a taste of what it's like to work with programs. We started with HTML, then C++, and then 2 years of Visual Basic. On my senior year, I was made president of our school's Computer Club. (I actually joined the arts club but was pulled out by my Computer teacher.) It was a good thing he did so because while in the club, I was made aware of how computer hardware works and came to know many cool programs. My Computer teacher, who was also our club advisor, advised me to take up Computer Science. He's one of the few teachers who must have seen something in me though at that time, I really did not know that much about computers. In fact, I was embarrassed to be the head of a club when in fact other members, most of them younger than me, were more skilled. My only claim to fame is that I am a logical thinker so constructing formulae and using the language was fairly easy. But because computer language is not appealing to me in that one can never be poetic or express beautiful prose with it, I was not much interested.

So when I was about to take the UP Entrance Exam and choose a course, my two choices were based in the College of Arts and Letters. I really had a hard time choosing because many courses appealed to me, like Anthropology, Computer Science, Geology, Geodetic Engineering, Computer Engineering, Molecular Biology and Biochemistry, Mathematics, etc. etc. At that time though I was studying Japanese all on my own and I was thinking how cool it would be if I were to be a polyglot so I could read in many many languages. Before I submitted my application forms, I was able to state European Languages as my first choice and Creative Writing as my second choice. (Up until today, I still don't know whatever possessed me to select CW as my second choice...)

So pursuing my chosen course, I was limited to a maximum of two Math classes. I took Math 1, said to be the more difficult of the two. I was lucky to have a very very cool instructor who introduced me to Umberto Eco (now one of my favorite authors). His class was my most favorite class during my freshman year. We discussed the history of math, logic, systems, a bit of basic cryptography, sets, and other more abstract math concepts. Taking this was one of my best decisions since Math 2, though easy to get an A, is just about problem-solving and I don't think I need a repeat of it since I excelled in it in highschool. Math 1 was also the right course because it opened new doors for me and it was then that I realized how COOL Math really is.

So right after I finish European Languages, I took Math17, said to be the deciding factor for many engineering students if they should continue with their course or not. I knew many people who took that and who failed. I just had to see for myself how difficult it really is. I aced exams but flunked the final one because I never memorized the formulas and drawing circles and deriving formulas left me with very little time to solve the problems. It broke my heart, simply because I understood the lessons well, it's just that I couldn't memorize the formulae.

So anyway, studying Calculus now really shoved me down memory lane...

So going back to yesterday...

Yesterday while doing a problem in Calculus, I saw how foolish I was at my stubbornness in refusing to enlist the help of Excel, just the tool that can help me speed up calculations so I can devote more time in learning other things (or finishing that book I've been reading since last month).

I opened Excel, had a leap of faith that DAMN I COULD DO THIS!!! And just typed in the formulae for Newton's method of finding roots. Imagine my delight at my newfound powers! I overcame the trauma (I think)!!!!

one input, one look, and one conclusion
I'm just so happy with what I was able to do yesterday. Felt so productive. And I felt new powers flowing in my veins. The power of Math, the power to Excel! (Yes, pun intended.)

Sunday, October 20, 2013

Trigonometry in Calculus

Right now, I'm taking a little break from studying Calculus today. Before leaving for Ilocos, I studied the derivative of logarithms  (a.k.a. logarithmic differentiation... Okay I sound so smart but really I'm struggling with all the things one must remember...) and while everything is a bit hazy, I didn't review much when I got back and immediately continued on, finding myself face to face with trigonometry once again.

Now trigonometry is one of my favorite math topics despite my slow speed in solving and/ or proving because I'm so used to drawing circles and determining formulas all on my own every time I solve a trigonometric function. Sometimes I get frustrated because I can't seem to just memorize the formulas, but in the end, I pride myself at being able to derive formulas from the ones I already know by heart.

So just to share, here are the the derivatives of trigonometric functions as well as the derivatives of the inverse of trigo functions. (Just hoping that everytime I see them here in my blog they'll get stuck to my brain LOL):

1. d/dx sin x= cos x
2. d/dx cos x= -sin x
3. d/dx tan x= sec^2 x
4. d/dx cot x= -csc^2 x
5. d/dx sec x= sec x tan x
6. d/dx csc x= -csc x cot x

1. d/dx arcsin x= 1/ (sqrt (1-x^2))

2. d/dx arccos x= -1/ (sqrt (1-x^2))
3. d/dx arctan x= 1/ (1+x^2)
4. d/dx arccot x= -1/ (1+x^2)
5. d/dx arcsec x= 1/ ( |x| sqrt (x^2-1))
6. d/dx arccsc x= -1/ ( |x| sqrt (x^2-1))

Actually the derivatives of the inverse are a bit easier to remember because they come in pairs. Derivatives of arcsin and arccos are almost same except one is positive and the other is negative. The same goes for the pairs arctan/arccot and arcsec/arccsc. 

It's been a while since I last did trigo, which was in the summer of 2010 when I enrolled in Math 17 (Algebra and Trigonometry) just to see how difficult it really is. I got two perfect scores out of five quizzes but unfortunately I flunked the final exam because I was overwhelmed by the number of items and we just had one hour to finish. (Deriving formulas ate up most of my time, you see.)

Now I'm hoping to somehow be able to use this knowledge for mapping sites. It would be very cool to be able to create a map of an irregularly shaped site.

And I also need to relearn how to use the scientific calculator if I want to get answers fast.

Sunday, September 22, 2013

Autodidactic Mode On

Lately I'm finding it difficult to come up with a topic other than food and/or restaurants for my blog and I fear that this blog may seem support consumerism when in fact I go against this and as much as possible try to live simply without fancy things. I do admit that I frequent food establishments simply because I love food and I seldom get to have my way in the kitchen at home. Plus, eating out gives me ideas on what to cook next. The only thing I hate about food-tripping is that it hurts the pocket.

Lately I'm engrossed with a lot of things related to higher learning. I recently resumed my study of calculus, determined to understand it and to somehow use it to solve some of life's perplexing problems. Maybe I'm just a bored kid who misses school so much as a teacher and as a student that now I assume both roles for myself as I venture into this self-study activity. It's pretty much like what I did last year when I attempted to learn Japanese and came up with a blog entry that gives tips on how to learn a new language on one's own. I guess I must be overwhelmed by the difficulties encountered especially on Japanese conjugations. Four lessons to go and I quit. Okay, I didn't really quit, I just gave myself space and it's close to one year now since then. Perhaps next month will give me more motivation to continue (another plan that is sure not to materialize).

Keeping myself extra busy with these things sometimes make me question why I do them in the first place. There always comes a point in time when I get so fed up (especially when topic's getting extra complicated) and I think of how learning seems to be a waste of time and brain cells, but I would pause and reflect that there is wisdom in learning. Who knows when I will be able to use the knowledge gained in practice? How many times have I felt disappointed and frustrated with myself over regrets when I encounter a situation where I could have used a certain knowledge of something only to find that it's not part of my arsenal and all I have to do is just stand and be frustrated because of ignorance? Those defining moments remind me to strive hard to learn something new each day. It doesn't matter which topic or discipline it covers as long as I build my knowledge base. And somehow that isn't enough. The how-process attracts me more and oftentimes I become restless when I can't figure out why something is the way it is.

Since time and money are finite resources, and since I cannot give up my job yet in favor of the academe, I'm investing part of my time to self-study with the hope that once I become ready to continue my formal studies, I can be better and more disciplined. So here I am in full autodidactic mode, learning things, discovering things, having fun despite the many difficulties. People may think I miss out a lot in life because I would rather curl up in bed with a book than spend evenings out in malls or waste time gossiping about people, but what actually makes me happy is the fact that I struggle with my studies. With this struggle I feel more alive.

Sunday, September 1, 2013

August 2013

So last month Metro Manila experienced nature's fury once again when typhoon Maring entered, causing four consecutive days of work-from-home mode and annex that to the weekend and one gets 6 days outside the office. Those days I still thought like a student, I didn't want to wake up early because I knew there would be no classes. I often forget I'm no longer a student jejeje. ^.^'

August this year saw me trying out new restaurants and I just realized that my blog is slowly looking like a food blog. While I don't mind sharing my food adventures on the internet, I'm not really interested in creating my own food blog.

But I do consider having my own travel blog and hopefully get contacted by airlines for free tickets in exchange for writing about my travels. One book which greatly inspired me to go to where average men fear to tread is Gerard Helferich's Humboldt's Cosmos which I read a few years back. (Pardon my slight digression but I cannot help but write something about this wonderful biographical book which narates key events in Alexander Humboldt's life and I was particularly interested in his navigation of the Amazon basin for science.) At present, I am reading a wonderful book by American journalist Peter Hessler. Oracle Bones: A Journey Through Time in China is combination of travelogue, observation of present day culture, and historical connections to the present. It's quite interesting to see how Americans perceive Chinese culture while being immersed. Also, I'm curious as to how he navigates through chaotic China which is known for its anti-western stance. (I might write about this book after I finish reading it.)

The biggest moment of August 2013 was the Linkin Park concert. It was my first rock concert. I admit that I was ambivalent about it because I dislike rowdy crowds but during the concert I'm surprised to find myself going crazy together with the audience. And I was with a very dear friend and I consider it as our special date. :)

Yeah and another achievement is finally getting to finish writing about my Shanghai trip. Going through my travel journal while selecting photos for upload had been fun. It feels like the trip was made just yesterday.

I'm taking a break from ASOIF since I have yet to watch the third season. I'm still mourning for the death of Red Viper. I think he could have been one great character. I was already speculating on what would happen if Red Viper joins with Dany... It's such a pity he died shortly after being introduced in the series. (DAMN YOU, GRRM for creating such wonderful characters and killing them too soon! HMPH!) Though truth be told I can't wait to see what happens to Tyrion in book 4. (Come to think of it, I have yet to write about A Storm of Swords!)

Ang lately I've been watching as many movies as I can just so I can free up some space in my external hard disk. But I only delete those which I find crappy (rom-coms, lewd comedy, etc.). And I'm still watching Elfen Lied and B't X. I can't wait to write reviews of those two, but many other things are vying for my attention at the moment.

For instance, I started to review my math lessons. And in between I wonder whatever possessed me to take up European Languages in the first place but then I realize that with my knowledge of many languages I can open up new worlds and expand the scope of my research and the like only I am a bit lazy or maybe I'm just lost as to where to start but I know I'll get there somehow since I believe enlightenment will come soon but it will be perfectly fine also if that never comes coz I'm so used to being such a wandering wonderer or maybe it is wondering wanderer? (I guess I owe it to my Spanish to be able to write a sentence which looks like a paragraph...)

Hoping to get busier in September. One of my trips got cancelled but it's okay. I can always travel some other time.

Saturday, August 31, 2013

Math for Fun 001

So here I am taking a break from solving Math problems. For the past few hours I have been answering some geometry problems on my own. There really isn't a reason why I do this, it's just that lately I am starting to feel like I'm not as mathematical as my former self, though I still have confidence in being logical so  even though I already forgot half of my math lessons in school, I still get to solve problems though not as easily as I could have because I have to analyze each part to come up with an answer.

And again this proves that in math, one does not need to memorize a plethora of formulas. One simply should understand the basic axioms and work out solutions to more complex problems. :)

Yeah, that and probably because of my desire to learn calculus on my own. My practical side would like to know if my mind can support such a topic. Again, I think there's this fear implanted in me because most people I know hate math, most people I know do not get calculus even though most of these graduated from courses requiring calculus...

And yes, I'm bored. I just want to learn something new.

Wednesday, November 28, 2012

From Multiply 059: Jeepney Scene 3


Yesterday in a jeep to SM North, there was this girl with her mom and a boy classmate of hers with his mom. The little girl, around 7 years old had a loud irritating voice with a superior tone. She tested her classmate, "1 dibaydibay 1?"

Boy: "1."

Dibaydibay. How nostalgic! When I was young, I also pronounced "divided by" that way. Couldn't help but smile secretly. I tried hard to sleep, I really did. But...

Girl: "74 dibaydibay 74?"
Boy: "1"

And this went on with the answer always one. Until...

Girl: "0 dibaydibay 0?"
Boy: "0!"

I smiled yet again. Any number divided by 0 is undefined. But on second thought, maybe not. What about 0? And what about x/x=1? Does it mean that 0/0=1? But that's already illogical. How can there be something when you divide nothing by itself? Or, is it possible to divide nothing by nothing? Anyone who can enlighten me with regards to this problem?

My Math skills are way below average now. LOL (Gonna review my HS Math this sem break...)

Oct 15, '09 9:39 AM
for everyone

Saturday, August 11, 2012

Science, Math, and Chaos


Taking up an STS (Science, Technology, and Society) course in college has a profound effect on my life. Not only was I able to learn many new things about science, I learned to appreciate the role of science in our  everyday life. STS let me see that science indeed plays a vital role in addressing the problems the world faces today. In highschool, I used to think of science as the reason why everything got extra complicated in this world. The advent of new technologies contributed to increasing social fragmentation, not to mention destruction of the environment. But the very reason why I shunned science was because I really didn't believe anything I learned in high school- I always thought something was amiss, like all those theories do not really mirror phenomena in reality. So in college, while I considered to take up Mathematics, I decided to pursue foreign languages instead, with my love for literature and etymologies prevailed over mathematical abstractions. (Or perhaps blame it to the fact that I wasn't much informed about possible careers after studying Mathematics in college... It came too late.)

In STS class, which I took three years ago, the students are lucky to listen to lectures by different professionals, from engineers and scientists to historians, forensic experts, and archaeologists. The topics are diverse but the main point is that one cannot escape science as it pervades every aspect of our reality. In particular, I was very much inspired by the lecture given by Amador Muriel. He talked about turbulence and quantum theory, though mostly he just talked about himself which made me view him as an egocentric, self-centered old man who keeps on enumerating his achievements and how he survived in the West although he came from a poor family in a Third World Country. Despite my aversion to all those self-praise talk, I must say that I honestly admire this man for his struggles, how he made it big despite his poor origins. Another is that in enumerating his numerous mentors, one can say that he takes pride in his academic pedigree and as such gives credit to and rightly acknowledges the people who have contributed to who he is now.


Back in college, my friends know me as a spendthrift who only buys books from Booksale and who seldom gets the required readings. But when he announced that his book is now available, I didn't think twice. I just had to have the book. The book isn't that expensive, which is a good thing, and students could get autographs right then and there. I bought his book "Folding Water: The Search for a Quantum Theory of Turbulence" which was co-authored by Ninotchka Rosca. I almost never had the book autographed because of students suddenly flocked to him like moths to a flame. I braved the crowd. He asked me what I am studying and I answered, "European Languages." He wrote a short note on the first page of the book:

"Melo:
              Look up to the
       allusions to
       Europe.
                   A. Muriel"

It was the first time I got a book signed by the author. It instantly became one of my prized books. And when I read it from cover to cover, I was more than sure that never shall this book go out of my collection. It's more detailed compared to the lecture and I wasn't at all surprised that this book is also a memoir in addition to its being a book on quantum mechanics meant for the layperson.

Not long after, I got interested in chaos theory. Reading short articles online increased my appetite for chaos. At that time, I described my life as chaotic. I was a lost kid in a jungle of civilization. Suddenly everything I know crumbles, it feels like being a witness to widescale destruction a la Inception (yes, that movie by Christopher Nolan where scenes of crumbling edifices are many) and I didn't know where to start from.


One day as if by chance, I found a book at Booksale which costs just P75. The title of the book is "Chaos: Making a New Science", authored by James Gleick. I knew I had to buy it. As soon as I got home, I read the book and was enlightened as to why I became averse to science in high school. In high school, we were taught that this happens assuming this is the case. In short, it was highly idealistic. But chaos, as Gleick writes, "poses problems that defy accepted ways of working in science." Moreover, high school science lacked the interdependence of disciplines and thus provided an unrealistic view of phenomena. Physics for example was isolated from biology and chemistry. Each subject was compartmentalized. Chaos on the other hand, brings together different disciplines in an attempt to investigate global nature of systems. When a child, who yearns to make sense of the world around her and who sees the intricate web of relations of things, is made to study a subject without reference to other disciplines, she quickly loses interest. I do not know if this holds true to others but it does to me.

Gleick's book is meant for the layperson. It traces the beginnings of the study of chaotic systems and chaos itself. It narrates the development of such subject as other disciplines like mathematics, physics, chemistry, and biology advanced, or the other way around. Gleick also briefly sketched the important contributors to chaotology (study of chaos), from Lorenz to Mandelbrot, to Feigenbaum and Libchaber, to the scholars of Santa Cruz. I also appreciated how the book attempts to enumerate the many applications and relations of chaotology in other dsiciplines including economics, philosophy, art, and literature.

Reading the book made me wonder what if I took up Mathematics instead of foreign languages. Then maybe I would be very good at working with computers. Then maybe I would be dabbling in chaos. Then maybe I would be able to offer an explanation as to why my life is chaotic.