課程介紹
認識Ramsey理論，學習代數方法及機率方法來估計傳統的Ramsey數。學習整數集合及整係數方程式內的Ramsey理論。
教科書:
教科書：
Ramsey theory / Ronald L. Graham, Bruce L. Rothschild, Joel H. Spencer.
Topics in Gallai-Ramsey theory / by Colton Magnant, Pouria Salehi Nowbandegani
參考書目：
Ramsey theory: yesterday, today, and tomorrow / edited by Alexander Soifer.
Ramsey theory for discrete structures / by Hans Jurgen Promel.
Ramsey theory / Ronald L. Graham, Bruce L. Rothschild, Joel H. Spencer.
Topics in Gallai-Ramsey theory / by Colton Magnant, Pouria Salehi Nowbandegani
參考書目：
Ramsey theory: yesterday, today, and tomorrow / edited by Alexander Soifer.
Ramsey theory for discrete structures / by Hans Jurgen Promel.
教學進度:
Pigeonhole Principle
Graphs and Ramsey Number R(m,n)
Ramsey's Theorem
Arithematic Progressions and Van Der Waerden's Theorem
Schur's Theorem, Regular Equations and Rado's Theorem
Gallai-Ramsey Theory
Graphs and Ramsey Number R(m,n)
Ramsey's Theorem
Arithematic Progressions and Van Der Waerden's Theorem
Schur's Theorem, Regular Equations and Rado's Theorem
Gallai-Ramsey Theory
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