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内容推荐 本书是基于作者在新加坡教授15年的数学竞赛课程讲义发展而来的,它的内容和深度超过了普通教学大纲,并且引入了大量现代数学的概念与方法。本书是这套讲义初中卷的第二卷,分成15讲。每一讲的核心部分是概念、理论与解题方法,书中提供了大量的示例来解释和丰富主题内容,并展示它们的应用。书中也提供了很多习题供读者自己练习,并配有习题解答。其中,书中的示例与习题很多都来源于真实的中国、俄罗斯、美国和新加坡的数学竟赛考题。 目录 Preface Acknowledgments Abbreviations and Notations 16 Quadratic Surd Expressions and Their Operations 17 Compound Quadratic Surd Form □(数学公式) 18 Congruence of Integers 19 Decimal Representation of Integers 20 Perfect Square Numbers 21 Pigeonhole Principle 22 [x] and {x} 23 Diophantine Equations (I) 24 Roots and Discriminant of Quadratic Equation □(数学公式) 25 Relation between Roots and Coefficients of Quadratic Equations 26 Diophantine Equations (II) 27 Linear Inequality and System of Linear Inequalities 28 Quadratic Inequalities and Fractional Inequalities 29 Inequalities with Absolute Value 30 Geometric Inequalities Solutions to Testing Questions Index |