注冊(cè) | 登錄讀書(shū)好,好讀書(shū),讀好書(shū)!
讀書(shū)網(wǎng)-DuShu.com
當(dāng)前位置: 首頁(yè)出版圖書(shū)科學(xué)技術(shù)自然科學(xué)數(shù)學(xué)離散幾何中的研究問(wèn)題(影印版)

離散幾何中的研究問(wèn)題(影印版)

離散幾何中的研究問(wèn)題(影印版)

定 價(jià):¥82.00

作 者: (美)布拉斯(Brass、P.)、等
出版社: 科學(xué)出版社
叢編項(xiàng): 國(guó)外數(shù)學(xué)名著系列
標(biāo) 簽: 科學(xué)與自然 數(shù)學(xué)理論

購(gòu)買(mǎi)這本書(shū)可以去


ISBN: 9787030182920 出版時(shí)間: 2007-01-01 包裝: 精裝
開(kāi)本: 32 頁(yè)數(shù): 499 字?jǐn)?shù):  

內(nèi)容簡(jiǎn)介

  離散幾何有著150余年的豐富歷史,提出了甚至高中生都能理解的諸多公開(kāi)問(wèn)題。某些問(wèn)題異常困難,并和數(shù)學(xué)其他領(lǐng)域的一些深層問(wèn)題密切相關(guān)。然而,許多問(wèn)題,甚至某些年代久遠(yuǎn)的問(wèn)題,都可能被聰明的大學(xué)本科生或者高中生運(yùn)用精妙構(gòu)思和數(shù)學(xué)奧林匹克競(jìng)賽中的某些技巧所解決?!峨x散幾何中的研究問(wèn)題》是由Leo Moser牽頭,花費(fèi)25年著成,書(shū)中包括500余個(gè)頗具吸引力的公開(kāi)問(wèn)題,理解其中許多問(wèn)題并不需要太多的準(zhǔn)備知識(shí)。書(shū)中的各章很大程度上內(nèi)容自含,概述了離散幾何,介紹了各個(gè)問(wèn)題的歷史細(xì)節(jié)及重要的相關(guān)結(jié)果。本書(shū)可作為參考書(shū),供致力數(shù)學(xué)研究,熱愛(ài)美妙數(shù)學(xué)問(wèn)題并不遺余力地試圖加以解決的那些專(zhuān)業(yè)數(shù)學(xué)家和研究生查閱。本書(shū)的顯著特色包括:500多個(gè)公開(kāi)問(wèn)題,其中某些問(wèn)題的歷史久遠(yuǎn),而某些問(wèn)題為新近提出且從未出版;每章分為內(nèi)容自含的各個(gè)部分,各部分均附有詳實(shí)的參考文獻(xiàn);為尋找論文課題的研究生提供眾多研究問(wèn)題;包含離散幾何的一個(gè)全面綜述,突出介紹離散幾何研究的前沿問(wèn)題和發(fā)展前景;150多幅圖表;Paul Erdos生前為本書(shū)早期版本所寫(xiě)的序言。

作者簡(jiǎn)介

暫缺《離散幾何中的研究問(wèn)題(影印版)》作者簡(jiǎn)介

圖書(shū)目錄

0.Definitions and Notations
1.Density Problems for Packings and Goverings
1.1 Basic Questions and Defintions
1.2 The Least Econmical Convex Sets for Packing
1.3 The Least Economical Convex Sets for Covering
1.4 How Economical Are the Lattice Arrangemets?
1.5 Packing with Semidisks,and the Role of Symmetry
1.6 Packing Equal Dircles into Squares,Circles,Spheres
1.7 Packing Equal Circles of Squares in a Strip
1.8 The Densest Packing of Spheres
1.9 The Densest Packings of Specific Convex Bodies
1.10 Linking Packing and Covering Denstities
1.11 Sausage Problems and Catastrophes
2.Structural Packing and Covering Problems
2.1 Decomposition of Multiple Packings and Coverings
2.2 Solid and Saturated Packings and Reduced Coverings
2.3 Stable Packins and Coverings
2.4 Kissing and Neighborly Convex Bodies
2.5 Thin Packings with Many Neighbors
2.6 Permeability and Blocking Light Rays
3.Packing and Covering with Homothetic Copies
3.1 Potato Bay Problems
3.2 Covering a Convex Body with Its Homothetic Copies
3.3 Levi-Hadwiger Covering Problem and Illumination
3.4 Covering a Ball by Slabs
3.5 Point Trapping and Impassable Lattice Arrangements
4.Tilling Problems
5.Distance Problem
6.Problems on Repeated Subconfigurations
7.Incidence and Arrangement Problems
8.Problems on Points in Genral Positon
9.Graph Drawings and Geometric Graphs
10.Lattice Point Problems
11.Geometric Inequalities
12.Index

本目錄推薦

掃描二維碼
Copyright ? 讀書(shū)網(wǎng) ranfinancial.com 2005-2020, All Rights Reserved.
鄂ICP備15019699號(hào) 鄂公網(wǎng)安備 42010302001612號(hào)