Basics of Ramsey Theory

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A01=Veselin Jungic
advanced combinatorial problem solving
Algebra
Arithmetic Progressions
Author_Veselin Jungic
Blue Edges
Category=PBD
Category=PBV
Category=PBW
Chromatic Number
Combinatorial Line
Combinatorial Number Theory
combinatorics
Complete Graph
Convex Hull
Convex Pentagon
Convex Polygon
discrete mathematics foundations
Emmy Noether
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Erdos
Euclidean Line
extremal combinatorics
Fyodor Mikhailovich Dostoyevsky
graph coloring problems
Iowa State University
mathematical induction techniques
Monotone Subsequence
number theory
Pigeonhole Principle
proof strategies in mathematics
Ramsey Numbers
Ramsey Theory
Ramsey's Theorem
Rectangular Coordinate System
Red Edges
Schur Complement
Schur's Theorem
Tic Tac Toe Game
undergraduate mathematics textbook
Van Der Waerden
Young Man

Product details

  • ISBN 9781032260372
  • Weight: 520g
  • Dimensions: 156 x 234mm
  • Publication Date: 09 Jun 2023
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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

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

Dr. Jungić 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. Jungić’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. Jungić’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.

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