On Sets and Graphs: Perspectives on Logic and Combinatorics
暫譯: 集合與圖論：邏輯與組合數學的觀點

Omodeo, Eugenio G., Policriti, Alberto, Tomescu, Alexandru I.

On Sets and Graphs: Perspectives on Logic and Combinatorics
  • 出版商: Springer
  • 出版日期: 2018-09-09
  • 售價: $3,050
  • 貴賓價: 9.5 折 $2,898
  • 語言: 英文
  • 頁數: 275
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3319855360
  • ISBN-13: 9783319855363

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problems and insight panels.

商品描述(中文翻譯)

本論文提供了集合論與圖論之間相互作用的綜合視角，並提供了大量範例，突顯了如何利用一種理論的方法來更好地解決源自另一種理論的問題。特點包括：探討集合與圖之間的相互關係及其在有限組合學中的應用；從集合論和二元邏輯的角度介紹基本的圖論概念，並對集合宇宙進行討論；解釋如何方便地用集合來建模圖，討論集合圖和無爪圖的集合論表示；研究何時用圖來表示集合是方便的，涵蓋計數與編碼問題、集合的隨機生成以及無限集合的分析；呈現有關圖的正式證明摘錄，其正確性經過自動證明助手的驗證；包含大量練習、範例、定義、問題和見解面板。

作者簡介

Dr. Eugenio G. Omodeo is a professor in the Department of Mathematics and Geosciences at the University of Trieste, Italy. His other publications include the Springer title Computational Logic and Set Theory.

Dr. Alberto Policriti is a Professor of Computer Science in the Department of Mathematics, Computer Science, and Physics at the University of Udine, Italy. Together with Dr. Eugenio G. Omodeo, he is co-author of the Springer title Set Theory for Computing.

Dr. Alexandru I. Tomescu is a postdoctoral researcher in the Department of Computer Science at the University of Helsinki, Finland.

作者簡介(中文翻譯)

尤金尼奧·G·奧莫迪奧博士是義大利的的里雅斯特大學數學與地球科學系教授。他的其他出版物包括Springer的書籍計算邏輯與集合論。

阿爾貝托·波利克里蒂博士是義大利烏迪內大學數學、計算機科學與物理系的計算機科學教授。他與尤金尼奧·G·奧莫迪奧博士共同撰寫了Springer的書籍計算的集合論。

亞歷山德魯·I·托梅斯庫博士是芬蘭赫爾辛基大學計算機科學系的博士後研究員。

類似商品