trigonometric functions and complex numbers world century mathematical olympiad series

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Trigonometric Functions And Complex Numbers

Author : Desheng Yang
ISBN : 9781938134883
Genre : Mathematics
File Size : 24. 15 MB
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Trigonometric Functions and Complex Numbers covers the followings areas in the International Mathematical Olympiad (IMO) and other mathematical competitions. Trigonometric identity, graphs and properties of trigonometric equations, inverse trigonometric functions and trigonometric equations, solutions of triangles, trigonometric substitution and trigonometric inequality;The concept and operation of complex numbers, trigonometric form of a complex number, complex number and equation. The contents are essential for the IMO. A good help for students who want to improve in these areas. Request Inspection Copy

Central European Olympiad A The Mathematical Duel

Author : Geretschlager Robert
ISBN : 9789813223929
Genre : Mathematics
File Size : 83. 60 MB
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This book contains the most interesting problems from the first 24 years of the "Mathematical Duel," an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic. The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge. Contents: IntroductionNumber TheoryAlgebraCombinatoricsGeometry4! Years of Problems Readership: General public, students and teachers preparing for olympiad-style mathematical competitions Keywords: Mathematics Competition;Problem SolvingReview: Key Features: The wide selection of problems makes it especially interesting for students and teachers preparing for olympiad-style mathematical competitionsThe participants in this particular competition range in age from 13 to 18, and the problems are created with this wide range in mindAny interested reader is bound to find something interesting to suit their own level of experience

A Friendly Approach To Complex Analysis

Author : Sara Maad Sasane
ISBN : 9789814579018
Genre : Mathematics
File Size : 90. 96 MB
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The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy–Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text. Errata(s) Errata (72 KB)

Lecture Notes On Mathematical Olympiad Courses

Author : Jiagu Xu
ISBN : 9814368962
Genre : Mathematics
File Size : 66. 2 MB
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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 beyond the usual syllabus, but introduces a variety of concepts and methods in modern mathematics as well. In each lecture, the concepts, theories and methods are taken as the core. The examples serve to explain and enrich their intentions and to indicate their applications. Besides, appropriate number of test questions is available for the readers' practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions originate from many countries all over the world. This book will serve as a useful textbook of mathematical Olympiad courses, a self-study lecture notes for students, or as a reference book for related teachers and researchers.

China And The International Society

Author : Jinjun Zhao
ISBN : 9781938134524
Genre : Political Science
File Size : 30. 26 MB
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What is the relationship between China and the international society? It is a question of historical and realistic significance for China and the world to answer. Since the reform and opening up, China initiated a journey to get integrated into the international society. As an emerging power, China is trying to seek identities, display strength, and build a good reputation. Under various determinants and possibilities, the relationship between China and the international society manifests a feature of complexity and multiple dimensions. Following a guideline of “on China, for the world”, this volume intends to introduce Chinese scholars' latest studies on China's global strategies, theories and policies to the outside world. Contents:The Self-Consciousness of Chinese-Characteristic Diplomatic Practice and Theory (Yang Jiemian)China and International System: Two-Way Socialization under the Logic of Practice (Zhu Liqun)An Analytical Study of the Ideological Sources of China's Conduct (Zhang Qingmin and Lee Min Gyu)Self-Generated Transformation: On China's Agency in Its Interaction with International Human Rights Norms (Chen Zheng)Border, Geopolitics and China's International Relations Study (Zheng Yongnian)Evolution of “Neighborhood” Concept and China's Foreign Strategies (Zhong Feiteng)The Role and Influence of China's Mainstream Media in South China Sea Disputes — An Analysis from the Perspective of Signaling (Liao Lei and Ma Mengli)Public Policy and Cross-Border Investment by Chinese Enterprises (Guo Hong)China's Approaches and Future Prospects for Participation in UN Peacekeeping and Peacebuilding: A Report Based on Field Research of UN Peacekeeping and Peacebuilding Missions in Africa (Li Dongyan)Origin of the Forum on China–Africa Cooperation (Li Anshan) Readership: Academics, professionals, undergraduate and graduate students interested in China's diplomatic practice and theory and China's international relations studies. Keywords:International Relations;Diplomatic Practice and Theory;Foreign Affairs;Geopolitics;Policy Studies

The Story Of Numbers

Author : Mallik Asok Kumar
ISBN : 9789813222946
Genre : Juvenile Nonfiction
File Size : 84. 53 MB
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This book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers. Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail. The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level. The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

Mathematical Olympiad In China 2011 2014 Problems And Solutions

Author : Xiong Bin
ISBN : 9789813142954
Genre : Mathematics
File Size : 88. 87 MB
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103 Trigonometry Problems

Author : Titu Andreescu
ISBN : 0817644326
Genre : Mathematics
File Size : 73. 68 MB
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* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training

Algebraic Inequalities

Author : Ji Chen
ISBN : 1938134958
Genre : Education
File Size : 61. 49 MB
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The focus of this book is algebraic inequalities. Not only is it the current Mathematical Olympiad hot topic, it is also the basis of geometric inequalities. In addition, the book involves some analysis on inequality.

The Legacy Of Leonhard Euler

Author : Lokenath Debnath
ISBN : 9781848165267
Genre : Electronic books
File Size : 21. 5 MB
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This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists.

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