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lecture notes on mathematical olympiad courses for senior section vol 1 pdf
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Lecture Notes On Mathematical Olympiad Courses For Senior Section Vol 1 Pdf

This is often the longest section. The PDF covers:

Lecture Notes on Mathematical Olympiad Courses: For Senior Section (Volume 1) , authored by and published by World Scientific Publishing

, is a core resource for high school students preparing for elite math competitions like the IMO. Amazon.com This volume is part of the Mathematical Olympiad Series

(Volume 8) and is based on lecture notes the author developed over 15 years while training students in Singapore. World Scientific Publishing Core Content & Topics This is often the longest section

The book focuses on deep conceptual understanding rather than just rote problem-solving techniques. It contains 15 detailed lectures covering advanced algebra and geometry: Amazon.com Algebraic Foundations

: Fractional, higher-degree polynomial, and irrational equations. : Indicial, logarithmic, and trigonometric functions. Trigonometry

: Laws of Sines/Cosines, manipulation of expressions, and extreme value problems. Originally published by World Scientific, this book is

: Properties of circles, cyclic polygons, power of a point, and the five centers of a triangle. Inequalities : Mean inequality and extreme values of functions. World Scientific Publishing Key Features Self-Contained Structure

: Each lecture starts with core concepts and theories, followed by illustrative examples and test questions. International Problems

: Includes competition questions from diverse countries, including China, Russia, the USA, and Singapore Detailed Solutions Crucially, the "senior section" designation means the author

: Unlike many textbooks, this volume provides comprehensive solutions to all practice and testing questions. Advanced Scope

: The material goes significantly beyond the standard high school syllabus, introducing modern mathematical methods. Book Specifications Jiagu Xu (Former Professor at Fudan University) Publication Date March 2012 Available in Paperback and eBook Page Count ~260 pages World Scientific Publishing Company Lecture Notes On Math Olympiad Senior Vol 1 | PDF - Scribd


Originally published by World Scientific, this book is part of a celebrated series by mathematician Xu Jiagu. Unlike a typical textbook that moves from definition to example to drill problem, this volume is structured like a live course.

Volume 1 traditionally focuses on the foundational pillars of senior Olympiad mathematics:

Crucially, the "senior section" designation means the author assumes you already know high school math. It does not waste time teaching you what a quadratic equation is. Instead, it teaches you how to weaponize it.