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Geometric Etudes in Combinatorial Mathematics

64,19 €*

Sofort verfügbar, Lieferzeit: 1-3 Tage

Produktnummer: 18e75fb7f1df2a40fdbc780c44d5946f6f
Autor: Soifer, Alexander
Themengebiete: Combinatorics Pigeonhole principle algebra combinatorial geometry graph theory polyominoes
Veröffentlichungsdatum: 15.06.2010
EAN: 9780387754697
Auflage: 2
Sprache: Englisch
Seitenzahl: 264
Produktart: Kartoniert / Broschiert
Verlag: Springer US
Produktinformationen "Geometric Etudes in Combinatorial Mathematics"
A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas. A painter makes patterns with shapes and colours, a poet with words. A painter may embody an ‘idea,’ but the idea is usually commonplace and unimportant. In poetry, ideas count for a great deal more; but as Housman insisted, the importance of ideas in poetry is habitually exaggerated... A mathematician, on the other hand, has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words. The mathematician’s patterns, like the painter’s or the poet’s, must be beautiful; the ideas, like the colors or the words, must ?t together in a harmonious way. Beauty is the ?rst test: there is no permanent place in the world for ugly mathematics. —G.H.Hardy, A Mathematician’s Apology, 1940 [Har, pp. 24–25] I grew up on books by Isaac M. Yaglom and Vladimir Bolty- ski. I read their books as a middle and high school student in Moscow. During my college years, I got to know Isaak Moiseevich Yaglom personally and treasured his passion for and expertise in geometry and ?ne art. In the midst of my xxv xxvi Preface college years, a group of Moscow mathematicians, including Isaak Yaglom, signed a letter protesting the psychiatric - prisonment of the famous dissident Alexander Esenin-Volpin.

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