I am a huge fan of Gian-Carlo Rota, who has been said to be the founding father of modern algebraic combinatorics. (He is also my. Indiscrete Thoughts gives a glimpse into a world that has seldom been described that of Gian-Carlo Rota has written the sort of book that few. Indiscrete thoughts. Front Cover. Gian-Carlo Rota. Birkhäuser, – Mathematics – pages Bibliographic information. QR code for Indiscrete thoughts.
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Rota’s Indiscrete Thoughts
How can we make rigorous some of the notions that mathematicians use all the time, but can never formally write about? Home Contact Us Help Free delivery indkscrete.
Open Preview See a Problem? David rated it it was amazing Jan 24, The most common instance of beauty in mathematics is a brilliant step in an otherwise undistinguished proof.
Our memory is strained, our mind distorted to thlughts some artificial logic, like a student struggling with German grammar. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come. My favorite bit of advice is from a particularly obtuse lecture he attended at MIT where at the end Professor Struik asked, “Give us something to take home!
I shall call this type of proof “cognisable” for short. Indiscrete Thoughts gives a glimpse into a world that has seldom been described that of science and technology as seen through the eyes of a mathematician.
Kindle Edition Verified Purchase. The era covered by this book, towas surely one of the golden ages of science as well as the American university.
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Rota’s Indiscrete Thoughts | Mathematical Gemstones
The only thing that has changed is his professional affiliation. Just a moment while we sign you in to your Goodreads account. Gian-Carlo Rota has written the sort of book that few mathematicians could write. If you are anything like me, you will not be able to put it down!
Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. See all 11 reviews. When a beautiful theorem is missing a beautiful proof, attempts are made by mathematicians to provide new proofs that will match indiscrehe beauty of the theorem, with varying success.
But let us consider the possibility that what is meant thoughhs is rather that it is a theorems connectivity and usefulness that confers beauty. Essays on Mathematics, Science and Philosophy.
Some readers may even consider these essays indiscreet. Shopbop Designer Fashion Brands. The third part is a collection of “lessons” and short thoughts one chapter is called “A Mathematician’s Gossip” and the book ends with reviews of some books.
The musings on Mathematics were very interesting. The second part is more dense and the reading is more difficult, but there are some interesting ideas. Selected pages Title Page. This is a common point of debate among mathematicians, and Rota addresses it beautifully. Read more Read less. Had Rota not turned to math, he might well have become a novelist. It is precisely when our cognitive faculties indisctete capable of performing this transformations that we experience beauty.
Indscrete looked like a cross between a panda and a large owl.
He gives clear and precise examples of mathematical work that is obviously one or the other, and then goes on to show how the two notions can, and do, naturally coexist. Want to Read Currently Reading Read. But do you recall such a thing? He presents some incites in later chapters about his career and his research. Write a customer review. It is however impossible to find beautiful proofs of theorems that are not beautiful. Church’s discourse was precisely one such example.
Hardcoverpages. A beautiful theorem may not be blessed with an equally beautiful proof; beautiful theorems with ugly proofs frequently occur.