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Lecture Notes on Mathematical Olympiad Courses de Jiagu Xu

Lecture Notes on Mathematical Olympiad Courses: Mathematical Olympiad, cartea 8

Autor Jiagu Xu
en Limba Engleză Paperback – 20 mar 2012
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. It introduces a variety of concepts and methods in modern mathematics.
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Specificații

ISBN-13: 9789814368957
ISBN-10: 9814368954
Pagini: 260
Ilustrații: black & white illustrations
Dimensiuni: 152 x 229 x 14 mm
Greutate: 0.35 kg
Ediția:New.
Editura: World Scientific Publishing Company
Seria Mathematical Olympiad

Cuprins

Volume 1: Fractional Equations; Higher Degree Polynomial Equations; Irrational Equations; Indicial Functions and Logarithmic Functions; Trigonometric Functions; Law of Sines and Law of Cosines; Manipulations of Trigonometric Expressions; Extreme Values of Functions and Mean Inequality; Extreme Value Problems in Trigonometry; Fundamental Properties of Circles; Relation of Line and Circle and Relation of Circles; Cyclic Polygons; Power of a Point with Respect to a Circle; Some Important Theorems in Geometry; Five Centers of a Triangle; Volume 2: Mathematical Induction; Arithmetic Progression and Geometric Progression; Recursive Sequence; Summation of Series; Some Fundamental Theorems on Congruence; Chinese Remainder Theorem and Order of Integer; Diophantine Equation (III); Cauchy - Schwartz Inequality; Rearrangement Inequality and Jensen' Inequality; Schur Inequality; Fractional Inequality; Variable - Freezing Method; Some Methods in Counting Numbers (I); Some Methods in Counting Numbers (II); Introduction to Functional Equations.