Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications.
Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications.
Babylonia and Assyria were two of the greatest nations the history of mankind has brought forth. These two great Mesopotamian civilizations were best known for their massive armies and instruments of war. This is not surprising, since they were rarely at peace with one another. They were, however, heavily influenced by each other, as well as their predecessors, the Sumerians. Much of what we taken for granted today, the arts and science of industry and invention, were bequeathed to us from these ancient cultures.
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