世界數(shù)學(xué)奧林匹克經(jīng)典：數(shù)列與數(shù)學(xué)歸納法 第2版

　　Mathematical induction is an important method used to prove particular math statements and is widely applicable in different branches of mathematics， among which it is most frequently used in sequences.This book is rewritten on the basis of the book Methods and Techniques for Proving by Mathematical Induction ， and is written with an understanding that sequences and mathematical induction overlap and share similar ideas in the realm of mathematics knowledge. Since there are a lot of theses and books related to this topic already， the author spent quite a lot of time reviewing and refining the contents in order to avoid regurgitating information. For example， this book refers to some of the most updated Math Olympiad problems from different countries， places emphasis on the methods and techniques for dealing with problems， and discusses the connotations and the essence of mathematical induction in different contexts.The author attempts to use some common characteristics of sequences and mathematical induction to fundamentally connect Math Olympiad problems to particular branches of mathematics. In doing so. the author hopes to reveal the beauty and joy involved with math exploration and at the same time， attempts to arouse readers' interest of learning math and invigorate their courage to challenge themselves with difficult problems.

　　作者簡介馮志剛，國家督學(xué)，享受國務(wù)院政府特殊津貼專家。上海中學(xué)校長，上海市特級教師、正高級教師，上海市名教師基地主持人，上海市數(shù)學(xué)會副理事長。1969年4月生，1990年從華東師范大學(xué)數(shù)學(xué)系畢業(yè)后，在上海中學(xué)工作至今，長期從事數(shù)學(xué)奧林匹克教學(xué)工作。教過的學(xué)生中，有超過100人次進入中國數(shù)學(xué)奧林匹克國家集訓(xùn)隊，其中有12人次獲得IMO金牌，曾連續(xù)9年有學(xué)生獲得IMO金牌。熱心數(shù)學(xué)奧林匹克普及工作，是中國西部數(shù)學(xué)邀請賽執(zhí)委會委員，曾5次出任IMO中國國家隊副領(lǐng)隊，數(shù)次擔(dān)任羅馬尼亞大師杯數(shù)學(xué)奧林匹克（RMM）中國隊副領(lǐng)隊、領(lǐng)隊。