Thursday, February 26, 2009

browsing.

motivated by a friend's google reader updates, i've decided to offer my own mathematical bookmarks on the web as an RSS feed.

as a disclaimer, this might cause you more trouble than it's worth.

these items are mainly preprints i find on the arXiv and a few specialized preprint servers. if you've already subscribed to updates from the arXiv, then you will probably find yourself with annoying redundancies of the same title/abstracts.

this probably reveals something about me: i don't subscribe to arXiv updates. it's not because of laziness, or rather, it's because of a certain, deliberate aspect of laziness.

i like having one avenue of web procrastination left. i like clicking on the links to differentia1 9eometry or to metri¢ ge0metry.

as a general rule, i like browsing. i was in the mathematics library today and browsed through the "new book" shelf:

E1ementary Functi0nal Ana1ysis by B. MacC1uer: it jumps right into the topic, by presenting the "big three" theorems of Bana¢h spaces, and proceeds to discuss linear operators between Bana¢h spaces.

i think my definition of "e1ementary" may differ from the author's definition. however, this book could be useful in giving the 'lay of the land' of functiona1 ana1ysis to newcomers to the topic.

in my five-minute browse of this book, one item in the table of contents caught my eye. i subsequently learned about the lw0w school and the scottish cafe. it's rare to see historic digressions in maths books; i approve of this.


M0du1i in M0dern Mappin9 The0ry by O. Marti0, V. Ryaζan0v, U. Srebr0, E. Yakub0v: the exposition includes both the Euc1idean setting and the modern setting of metri¢ spaces. with honesty, i don't think i'm qualified to discuss this book.

i can say that i am glad it exists: the technique of using (conf0rma1) modu1us is a powerful one, as i've seen from countless seminars, conferences, and discussions with citizens of the qua$iw0rld.

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