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Sequen & Mathe Induct (2nd Ed)

by Feng Zhigang

Sequences and induction in Olympiad mathematics

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Paperback New English

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AlbakiReads Editorial

Sequences and induction in Olympiad mathematics

Feng Zhigang connects sequence problems and mathematical induction with broader branches of mathematics, using that relationship to frame the exploration of challenging Olympiad problems. The book’s subject is mathematical problem-solving, with an emphasis on how recurring features of sequences and induction can open paths into other areas of the subject. Its context is advanced competition mathematics, including the training environment associated with China’s International Mathematical Olympiad team. The description presents mathematical exploration as a central purpose, alongside the challenge of working through difficult problems.

Good fit for readers who enjoy

  • Students interested in mathematics competitions and Olympiad-style problems.
  • Readers studying sequences, mathematical induction, or connections between areas of mathematics.
  • Teachers and coaches seeking material related to advanced problem-solving.

Themes

Mathematical sequencesMathematical inductionOlympiad problem-solvingConnections across branches of mathematics

Based on publisher information and book metadata.

Book overview

In China, lots of excellent maths students takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results -- they have won the first place almost every year.

The author is one of the senior coaches of China's IMO National Team, he is the headmaster of Shanghai senior high school which is one of the best high schools of China. In the past decade, the students of this school have won the IMO gold medals almost every year.

The author attempts to use some common characteristics of sequence 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.

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