第一屆丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)獲獎(jiǎng)?wù)撐募?/h1>

出版時(shí)間：2009-9  出版社：高等教育出版社  作者：丘成桐 編  頁數(shù)：136  
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前言

任何科技發(fā)展都不能缺乏數(shù)學(xué)作為根基，數(shù)學(xué)在科技年代，地位日益重要。而教育的目的不僅要學(xué)生懂得書本上介紹的基本知識(shí)，也需要培養(yǎng)學(xué)生應(yīng)變、創(chuàng)新和領(lǐng)導(dǎo)的能力。學(xué)習(xí)基本知識(shí)可以在不斷的考試中磨煉出來，我想這方面中國的學(xué)生在考試?yán)锩婺挷簧倭?，至于?yīng)變、創(chuàng)新和領(lǐng)導(dǎo)能力，恐怕單從考試是不夠的。為激發(fā)全球華人青少年對數(shù)學(xué)的興趣，提升他們的學(xué)術(shù)水平，并及早發(fā)掘與培養(yǎng)全世界的華人數(shù)學(xué)英才，由我和泰康人壽保險(xiǎn)股份有限公司共同主辦的“丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)”競賽于2008年在北京正式啟動(dòng)。第一屆“丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)”頒獎(jiǎng)儀式定于2008年10月24日在北京舉行，屆時(shí)，美國哈佛大學(xué)、布朗大學(xué)、斯坦福大學(xué)等名校的本科招生主任將會(huì)出席儀式，并面試部分獲獎(jiǎng)學(xué)生。

內(nèi)容概要

“丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)”由國際著名華人數(shù)學(xué)家丘成桐教授與泰康人壽保險(xiǎn)股份有限公司聯(lián)合設(shè)立。該獎(jiǎng)項(xiàng)旨在激發(fā)和提升全球華人中學(xué)生對于數(shù)學(xué)研究的興趣和創(chuàng)新能力，發(fā)現(xiàn)和培養(yǎng)有前途的年輕數(shù)學(xué)天才，增進(jìn)海內(nèi)外華人中學(xué)生的相互了解與友誼。第一屆“丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)”頒獎(jiǎng)儀式于2008年10月24日在北京舉行，本書收錄了獲得金獎(jiǎng)、銀獎(jiǎng)、銅獎(jiǎng)的優(yōu)秀論文，由高等教育出版社和波士頓國際出版社在全球范圍內(nèi)發(fā)行。    本書可供丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)參賽學(xué)生和指導(dǎo)教師參考，也可供其他熱愛數(shù)學(xué)的中學(xué)生閱讀。

書籍目錄

叢書序我與數(shù)學(xué)的緣分(代序)丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)手冊Guideline of Shing-Tung Yau High School Mathematics AwardsGold Award  A Research on the Minimum Prime Quadratic Residue Modulo a PrimeSilver Award  Invertibility Probability of Binary MatricesBronze Award  Optimized Methods of the Equalized Sprinkling Irrigation for Greenery Patches  Modeling and Planning of Snow Sweeping on Main Roads  Some Arithmetic Properties about the Factor of the Solution to Pell Equation and Its Applications in Diophantine Equations

章節(jié)摘錄

插圖：Mind on mathematics is a theoretical foundation, based on which real problems can be solved. Undoubtedly only with good model building, analyzing and calculating, can various optimizing problems be worked out. As high school students, due to our limited mathematical knowledge, the methods we take to solve problems are not very far beyond the textbook. So we focused on a problem close to daily life as well as one we can more or less solve on our own. Our inspiration came from the small lawn near our classroom in the junior school.  Every time the spouts did the irrigation, there was a great amount of water spilled on the hallway, and even sometimes the water would went through the open windows into the classroom, which caused many inconveniences as well as much waste. In today's world where drinking water is badly in need, it is, with no doubt, very meaningful to maximally equalize the amount of water a certain area gets in order to decrease the amount of water wasted. Through the information we got, we found that there were three factors on which sprinkling irrigation mainly depends: intensity, equilibrium and diameter of water drops. We began to develop interests in the equilibrium factor and decided to make an optimized proposal by a series of mathematical methods. Thereupon this paper primarily focuses on the degree of homogeneity in the sprinkling irrigation.

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