Basics of Ramsey Theory
暫譯: 拉姆齊理論基礎

Jungic, Veselin

Basics of Ramsey Theory
  • 出版商: CRC
  • 出版日期: 2023-06-09
  • 售價: $4,270
  • 貴賓價: 9.5 折 $4,057
  • 語言: 英文
  • 頁數: 18
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032260378
  • ISBN-13: 9781032260372

    • 海外代購書籍(需單獨結帳)

商品描述

Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics. The core of the of the book consists of discussions and proofs of the results now universally known as Ramsey's theorem, van der Waerden's theorem, Schur's theorem, Rado's theorem, the Hales-Jewett theorem, and the Happy End Problem of Erdős and Szekeres. The aim is to present these in a manner that will be challenging but enjoyable, and broadly accessible to anyone with a genuine interest in mathematics.

Features

  • Suitable for any undergraduate student who has successfully completed the standard calculus sequence of courses and a standard first (or second) year linear algebra course.
  • Filled with visual proofs of fundamental theorems.
  • Contains numerous exercises (with their solutions) accessible to undergraduate students.
  • Serves as both a textbook or as a supplementary text in an elective course in combinatorics and aimed at a diverse group of students interested in mathematics.

商品描述(中文翻譯)

《拉姆齊理論基礎》是一本為有興趣了解當代數學動態領域的學生提供的溫和入門書籍，該領域結合了數論和組合數學的概念。本書的核心內容包括對現在普遍知曉的拉姆齊定理（Ramsey's theorem）、范德瓦登定理（van der Waerden's theorem）、舒爾定理（Schur's theorem）、拉多定理（Rado's theorem）、海爾斯-朱維特定理（Hales-Jewett theorem）以及厄爾德什和塞克雷什的快樂結局問題（Happy End Problem）的討論和證明。目標是以一種具有挑戰性但又愉快的方式呈現這些內容，並使其對任何對數學有真誠興趣的人都能廣泛接觸。

特色
- 適合任何已成功完成標準微積分課程和標準第一（或第二）年線性代數課程的本科生。
- 充滿基本定理的視覺證明。
- 包含大量適合本科生的練習題（及其解答）。
- 可作為教科書或作為選修組合數學課程的補充教材，針對對數學感興趣的多元學生群體。

作者簡介

Dr. Veselin Jungic is a Teaching Professor at the Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada.

Dr. Jungic is a 3M National Teaching Fellow and a Fellow of the Canadian Mathematical Society. He is a recipient of several teaching awards. Veselin is one of only a few Canadian mathematicians who has been awarded both the Canadian Mathematical Society Pouliot Award (2020) and the Canadian Mathematical Society Teaching Award (2012).

Dr. Jungic's publications range from education related opinion pieces to articles based on his teaching practices to Ramsey theory research and outreach papers.

One of Dr. Jungic's accomplishments is the creation of the Math Catcher Outreach Program. Since the early 2010s, the Program has visited hundreds of classrooms, from kindergarten to grade 12, and created learning resources in multiple Indigenous languages. As an invited speaker, Veselin delivered several dozens of the Math Catcher-related workshops and lectures to teachers, academics, and public at the local, national, and international levels.

作者簡介(中文翻譯)

維塞林·尤金奇博士是加拿大不列顛哥倫比亞省本拿比市西門菲莎大學數學系的教學教授。維塞林博士是3M全國教學獎學者及加拿大數學學會的會士，並獲得多項教學獎項。他是少數獲得加拿大數學學會普利奧獎（Pouliot Award，2020年）和加拿大數學學會教學獎（Teaching Award，2012年）的加拿大數學家之一。

維塞林博士的出版物涵蓋從與教育相關的意見文章到基於其教學實踐的文章，再到拉姆齊理論（Ramsey theory）研究及推廣論文。

維塞林博士的一項成就就是創建了數學捕手（Math Catcher）推廣計畫。自2010年代初以來，該計畫已造訪數百個教室，從幼稚園到12年級，並創建了多種原住民語言的學習資源。作為受邀講者，維塞林在地方、國家及國際層面上為教師、學者及公眾舉辦了數十場與數學捕手相關的工作坊和講座。

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