Friday, January 31, 2014

EXCEPTIONAL THINKERS, GREAT MATHEMATICIANS



“Many mathematicians derive part of their self-esteem by feeling themselves the proud heirs of a long tradition of rational thinking; I am afraid they idealize their cultural ancestors.” – Edsger Dijkstra 


Behind every mathematician, there is a story of great challenges and a journey to the world of mathematics along with self-discovery. A mathematician started off as an everyday casual person who, by influence or circumstance, finds himself drawn to mathematics and its magic.
In this fictional creation called “A Certain Ambiguity” written by Gaurav Suri and Hartosh Singh Bal, Ravi Kapoor takes us along for the ride of his life. It all started on the day his grandfather gave him a calculator for his 12th birthday. His grandfather showed him some number magic on three-digit numbers which stoked his interest and left him astonished and dazzled. Mathematics has that effect on most people, how it can lead you to where you go and leave you amazed at how you got there in the first place. It leaves you breathless. Ravi felt this way but he didn’t stop there, he wanted to find out how, so he did long divisions by hand and ended up believing that what he was witnessing was a property of all three-digit numbers. But he wanted to know why this was happening and what was behind this problem. Later, days after his birthday, he had a sudden insight of an idea or that Eureka moment. His realization came from the fact that division was a reverse of multiplication and this unlocked the solution to the problem. And after telling his grandfather, they both started their passion for mathematics.
When his grandfather died, he was devastated. It was only years later that he found out how his grandfather believed from the start that he would be a great mathematician. The calculator his grandfather gave him was to mark this path for him, this path to mathematics. His grandfather used to challenge him with mathematical questions and problems everyday and they would bond over the solutions and insights of the case. His grandfather had a very important role in his mathematics. When his grandfather left him money for college in America, he worked hard and excelled in all his subjects yet he saw beauty in none. Losing his grandfather affected his passion for mathematics. Before his 18th birthday, he got a letter from Stanford University. It was there that he met Peter Cage whom he became friends with and who ended up being his roommate. They were opposites but it was Peter’s determination that drew Ravi to him. As he went through college life, he had this lack of interest and certainty until Peter introduced him to Nico Aliprantis, a math teacher who taught math as a natural thing instead of a bunch of rigid rules. Nico invited them to join his Math 208 class. In his class, Nico tackled topics such as infinity, geometry, sets and so much more. He talked about different mathematicians like Georg Cantor. As the sessions went on, Ravi found interest in mathematics again. Nico had reintroduced him to the excitement and pleasure that the mathematical hunt or puzzle brings. He then found a friend in Adin Kaminker and Claire Stern.
After meeting with Nico, Ravi found out that his grandfather went to America and was imprisoned in Morisette, New Jersey in the year 1919. His classmate, Claire, and her mother helped him find out what happened and why his grandfather was imprisoned. With the newspapers of the town of Morisette and the help of Claire’s mom, he discovered that his grandfather, Vijay Sahni went to jail on the charges of blasphemy. He found recordings of the conversations between his grandfather and a judge named John Taylor. Though the two men have different philosophical views, they somehow bonded through mathematics. The judge believed that in order to understand why Sahni said what he said about Christianity, he should indulge Sahni through mathematics as how he thinks normally is connected to mathematical thinking. They went to Peter’s house to celebrate him getting a job and they also attended the performance of Adin’s band. Later on, Ravi, Adin, PK, Peter, Claire and Nico went to Redwood Park where they talked about Ravi’s grandfather and the points that he was making. It was then that Adin understood Ravi’s grandfather and how he thinks. He believes Vijay Sahni was driven by a quest for meaning and that he wanted to acquire that through a process he could feel certain about.  After reading the last newspapers on his grandfather’s release, he went to New York for his job interview where he was asked an odd mathematical question. In the end, he was able to crack it and was offered the job. But at the same time, Nico arranged him for a full scholarship to study mathematics at a graduate school. And just as he was having difficulty on making his decision, Claire brought him the journal entries of John Taylor which talked about how he and Sahni bonded over mathematics. After much deliberation, Ravi chose mathematics and ended up publishing papers and being a teacher. He later on lived with Claire.  
           This book was a pleasant read. It brought the classroom to the reader. I learned a lot on different topics on mathematics like infinity and geometry. It was very informative but not in a way that seemed boring. It felt like I was interacting with the book and that I was learning with the characters. This was by far the most entertaining book on mathematics that I have read. It pointed out certain topics on mathematics and proved it using mathematical thinking but unlike the other books, this one incorporated that into a story. It was fun seeing how the characters observe and perform mathematical thinking on a day to day basis. I learned about how mathematics has a different meaning or use to different people. I understood from the book that by stripping mathematics down to its core, you see its true beauty just like a musical piece. Just as a painter creates patterns with shapes and a poet creates patterns with words, a mathematician creates patterns with ideas. The book taught me about the aesthetic sense to use different words or ideas to create a beautiful piece of work and this is the connection between poets and mathematicians. It shows how mathematics provides a different way of comprehending the universe. Reason is its foundation and leads their thinking to certainty; this type of thinking can be problematic for some people because their world view might end up offending others. Mathematicians are exceptional thinkers but just like other geniuses of different fields, they face great challenges and scrutiny. Some even end up in jail for standing by their beliefs but it is their passion and determination to their craft that gives them glory. Mathematics has power over people especially with its promise of certainty.

No comments:

Post a Comment