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Polynomial Methods and Incidence Theory
A thorough yet accessible introduction to the mathematical breakthroughs achieved by using new polynomial methods in the past decade.
110 Geometry Problems for the International Mathematical Olympiad
This book represents a collection of carefully selected geometry problems designed for passionate geometers and students preparing for the IMO. Assuming the theory and the techniques presented in the first two geometry books published by XYZ Press, 106 Geometry Problems from the AwesomeMath Summer Program and 107 Problems from the AwesomeMath Year-Round Program, this book presents a multitude of beautiful synthetic solutions that are meant to give a sense of how one should think about difficult geometry problems. On average, each problem comes with at least two such solutions and with additional remarks about the underlying configuration.
Heuristic - For Mathematical Olympiad Approach
Sering menemukan buku olimpiade yang materi nya kurang banyak? Kurang relevan? Hanya seperti ringkasan? Terlalu fokus ke soal latihan? Heuristic menghadirkan materi secara lengkap dan relevan dengan tingkat kesulitan soal-soal OSN saat ini! Dilengkapi dengan soal dan pembahasan di setiap materi yang kamu baca!
HEURISTIC: For Mathematical Olympiad Approach 2nd Edition
Olimpiade Matematika memang sangat menantang. Tapi apakah kamu sudah memiliki apa yang diperlukan untuk bertarung di Olimpiade? Heuristic: For Mathematical Olympiad Approach (2nd ed) akan membantu diri kalian untuk menyiapkan diri menghadapi tantangan tersebut!
Mathematical Reflections
This book is a compilation and revision of the 2012 and 2013 volumes from the online journal of the same name. This book is aimed at high school students, participants in math competitions, undergraduates, and anyone who has a fire for mathematics. Passionate readers submitted many of the problems, solutions, and articles and all require creativity, experience, and comprehensive mathematical knowledge. This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.
Lemmas in Olympiad Geometry
This book showcases the synthetic problem-solving methods which frequently appear in modern day Olympiad geometry, in the way we believe they should be taught to someone with little familiarity in the subject. In some sense, the text also represents an unofficial sequel to the recent problem collection published by XYZ Press, 110 Geometry Problems for the International Mathematical Olympiad, written by the first and third authors, but the two books can be studied completely independently of each other. The work is designed as a medley of the important Lemmas in classical geometry in a relatively linear fashion: gradually starting from Power of a Point and common results to more sophisticated topics, where knowing a lot of techniques can prove to be tremendously useful. We treat each chapter as a short story of its own and include numerous solved exercises with detailed explanations and related insights that will hopefully make your journey very enjoyable.
Mathematics and Computation
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theo...
Analysis of Boolean Functions
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.
