內容簡介
Graph theory is a young but rapidly maturing subject. Even during the quarter of a century that I lectured on it in Cambridge, it changed considerably, and I have found that there is a clear need for a text which introduces the reader not only to the well-established results, but to many of the newer developments as well. It is hoped that this volume will go some way towards satisfying that need.
目錄
Apologia
Preface
I Fundamentals
I.1 Definitions
I.2 Paths, Cycles, and Trees
I.3 Hamilton Cycles and Euler Circuits
I.4 Planar Graphs
I.5 An Application of Euler Trails to Algebra
I.6 Exercises
II Electrical Networks
II.1 Graphs and Electrical Networks
II.2 Squaring the Square
II.3 Vector Spaces and Matrices Associated with Graphs
II.4 Exercises
II.5 Notes
III Flows, Connectivity and Matching
III.1 Flows in Directed Graphs
III.2 Connectivity and Menger‘s Theorem
III.3 Matching
III.4 Tutte‘s 1-Factor Theorem
……
Ⅳ Extremal Problems
Ⅴ Colouring
Ⅵ Ramsey Theory
Ⅶ Random Graphs
Ⅷ Graphs Groups and Matrices
Ⅸ Random Walks on Graphs
Ⅹ The Tutte Polynomial
Symbol Inedx
Name Index
Subject Index
前言/序言
現代圖論 epub pdf mobi txt 電子書 下載 2025
現代圖論 下載 epub mobi pdf txt 電子書
評分
☆☆☆☆☆
自己現在還沒有到說自己數學到什麼程度,但是自己對於古典分析很有信心瞭,對於自己學習新的數學也有瞭期望,
評分
☆☆☆☆☆
不好,紙張不好,印刷質量很差。
評分
☆☆☆☆☆
不好,紙張不好,印刷質量很差。
評分
☆☆☆☆☆
挺好
評分
☆☆☆☆☆
室友高大上的東西,我是看不懂
評分
☆☆☆☆☆
慢慢理解,其實我們讀的書籍(教科書)和我們理解的數學與真正的數學有很大的差距,真正的數學是講究概念,邏輯,但是矛盾的是裏麵有許多綫索不是邏輯,裏麵有許多實際因素在裏麵,其實數學的發展是很混亂的,例如古典的微分方程很多沒有解,許多是發散,關於這個問題就需要許多新的數學工具來處理,這樣就接觸瞭《泛函》,但是《泛函》基礎是什麼呢?
評分
☆☆☆☆☆
utm的書都是很好的,需要花時間好好讀
評分
☆☆☆☆☆
utm的書都是很好的,需要花時間好好讀
評分
☆☆☆☆☆
好書好快。。是正版。。下次再來。。一直支持。。