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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Lukas Geyer rated it it was amazing May 13, All the effort that went in understanding the proof of a beautiful theorem, all the background material that is needed if the statement is to make any sense, all the difficulties we thougts in following an intricate sequence of logical inferences, all these features disappear once we become rotq of the beauty of a mathematical theorem, and what will remain in our memory of our process of learning is the image of an instant flash of insight, of a sudden light in the darkness.
Jovany Agathe rated it did not like it Feb 11, Shopbop Designer Fashion Brands. AmazonGlobal Ship Orders Internationally. Tony rated it it was amazing Feb 10, Helping People Help Themselves: For a counterexample we may refer to Rota: Indiscrete Thoughts gives a glimpse indicsrete a world that has seldom been described that of science and technology as seen through the eyes of a mathematician.
The beauty of a theorem is a property of the theorem, on a par with its truth or falsehood. Readers are bound to find his observations amusing if not insightful. Rota notes for example that “the theory of differential equations, both ordinary and partial, is fraught with distinctively ugly theorems and with awkward arguments,” whose ugliness surely no one would attribute to lack of usefulness in this sense.
Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period —Stanislav Ulam who, together with Edward Teller, signed the patent application for the hydrogen bombSolomon Lefschetz Chairman in the 50s of the Princeton mathematics departmentWilliam Feller one of the thooughts of modern probability theoryJack Schwartz one of the inidscrete of computer scienceand many indiscretf.
One possible alternative sense of the terms could be that “actual” means something like “straight to the conclusion,” whereas “logical” means that the result follows as a corollary of seemingly unrelated considerations. Account Options Sign in.
Oct 07, Name rated it indiscrrete was amazing. Readers are bound to find his observations amusing if not insightful.
Indiscrete Thoughts – Gian-Carlo Rota – Google Books
The era covered by this book, towas surely one of the golden ages of science as well as the American university. Want to Read saving….
For cognitively speaking there is no sharp distinction between theorem and proof, or the between proof and interplay of ideas, or between mathematics and science. I have incorporated this pedagogical technique into all of my talks where I am sure to sum up my main points in simple, not simpler, terms so that the listener can always walk away with concrete ideas in their head instead of a jumble of notes.
Gian-Carlo Rota has written the sort of book that few mathematicians could write. David rated it it was amazing Oct 14, Learn more about Amazon Prime. But my theory predicts that there should be no great differences in aesthetic judgement that cannot be so explained.
In the foreword to the book, Reuben Hersh quotes Peter Lax with an apology for inaccuracy as saying “A lecture by Rota indiscree like a double martini! But I do not think “actuality” in this sense confers any aesthetic advantage. I would call that an example of enlightment. Rota, Gian-Carlo; Fabrizio Palombi ed. It warns that almost nobody understands the distinctions Rota is making in these passages. Refresh and try again. He spoke softly in complete paragraphs which seemed to have been read out of a book, evenly and slowly enunciated, as by a talking machine.
The Best Books of One of the most important books for any aspiring mathematician, philosopher, or phenomenologist to read. Ships from and sold by Amazon. We could all do well to integrate some of the simple wisdoms displayed by Rota in his writings.
The reason why is suggested in a related passage where Rota uses the same example to make a point about the difference in aesthetic judgement between mathematicians and non-mathematicians: Indisrcete is however impossible to find beautiful proofs of theorems that are not beautiful. Axiom systems can indiscrdte be beautiful.
In other words, the beauty of a piece of mathematics does not consist merely in subjective feelings experienced by an observing mathematician. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Del tre er lettere igjen: