| 書(shū)目名稱 | Geometric Etudes in Combinatorial Mathematics | | 編輯 | Alexander Soifer | | 視頻video | http://file.papertrans.cn/384/383507/383507.mp4 | | 概述 | Appeals to talented students from various levels.Provides insights into combinatorial theory, geometry and graph theory.Explores practical applications of combinatorial geometry.Engages a general audi | | 圖書(shū)封面 |  | | 描述 | 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 | | 出版日期 | Textbook 2010Latest edition | | 關(guān)鍵詞 | Combinatorics; Pigeonhole principle; algebra; combinatorial geometry; graph theory; polyominoes | | 版次 | 2 | | doi | https://doi.org/10.1007/978-0-387-75470-3 | | isbn_softcover | 978-0-387-75469-7 | | isbn_ebook | 978-0-387-75470-3 | | copyright | Alexander Soifer 2010 |
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