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Trigonometric Functions and Complex Numbers

Trigonometric Functions and Complex Numbers Author Desheng Yang
ISBN-10 9781938134883
Release 2016-09-21
Pages 424
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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

The Alberta High School Math Competitions 1957 2006

The Alberta High School Math Competitions 1957 2006 Author Chiang-Fung Andrew Liu
ISBN-10 0883858304
Release 2008
Pages 283
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Although there were some older contests in the Maritime region and in Lower and Upper Canada, the Alberta High School Mathematics Competition was the first and oldest in Canada to be run on a provincial scale. Started in 1957, the competition recently celebrated its fiftieth anniversary. These fifty years can be broken down to three periods, Ancient (1957--1966), Medieval (1967--1983) and Modern (1984--2006), with very distinctive flavors which reflect what was taught in the schools of the day. The first two periods are primarily of historical interest. During the Modern period, the talented problem committee was led by the world renown problemist Murray Klamkin, and composed many innovative and challenging problems. In this book you will find all the problems and answers for the first fifty years of the competition, up to 2005/2006 – and full solutions are provided to those from the Modern period, often supplemented with multiple solutions or additional commentaries. Taken together, this unique collection of problems represent an interesting and valuable resource for students today preparing for these types of mathematics contests. The Alberta High School Mathematics Competitions 1957 - 2006 : A Canadian Problem Book is published by the Mathematical Association of America (MAA) in collaboration with the Canadian Mathematical Society (CMS). It is the second volume in The Canadian Collection.

Central European Olympiad A The Mathematical Duel

Central European Olympiad  A  The Mathematical Duel Author Geretschlager Robert
ISBN-10 9789813223929
Release 2017-11-29
Pages 292
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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

Geometric Inequalities

Geometric Inequalities Author Hayk Sedrakyan
ISBN-10 9783319550800
Release 2017-06-29
Pages 452
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This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving geometric inequalities.

Half a Century of Pythagoras Magazine

Half a Century of Pythagoras Magazine Author Alex Van Den Brandhof
ISBN-10 9780883855874
Release 2015-09-29
Pages 302
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Half a Century of Pythagoras Magazine is a selection of the best and most inspiring articles from this Dutch magazine for recreational mathematics. Founded in 1961 and still thriving today, Pythagoras has given generations of high school students in the Netherlands a perspective on the many branches of mathematics that are not taught in schools. The book contains a mix of easy, yet original puzzles, more challenging - and at least as original – problems, as well as playful introductions to a plethora of subjects in algebra, geometry, topology, number theory and more. Concepts like the sudoku and the magic square are given a whole new dimension. One of the first editors was a personal friend of world famous Dutch graphic artist Maurits Escher, whose 'impossible objects' have been a recurring subject over the years. Articles about his work are part of a special section on 'Mathematics and Art'. While many books on recreational mathematics rely heavily on 'folklore', a reservoir of ancient riddles and games that are being recycled over and over again, most of the puzzles and problems in Half a Century of Pythagoras Magazine are original, invented for this magazine by Pythagoras' many editors and authors over the years. Some are no more than cute little brainteasers which can be solved in a minute, others touch on profound mathematics and can keep the reader entranced indefinitely. Smart high school students and anyone else with a sharp and inquisitive mind will find in this book a treasure trove which is rich enough to keep his or her mind engaged for many weeks and months.

A Friendly Approach to Complex Analysis

A Friendly Approach to Complex Analysis Author Sara Maad Sasane
ISBN-10 9789814579018
Release 2013-12-24
Pages 964
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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)

China and the International Society

China and the International Society Author Jinjun Zhao
ISBN-10 9781938134524
Release 2014-06-11
Pages 316
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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

The Story Of Numbers Author Mallik Asok Kumar
ISBN-10 9789813222946
Release 2017-07-27
Pages 196
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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.

Lecture Notes on Mathematical Olympiad Courses

Lecture Notes on Mathematical Olympiad Courses Author Jiagu Xu
ISBN-10 9814368962
Release 2012
Pages 296
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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.

Mathematical Olympiad In China 2011 2014 Problems And Solutions

Mathematical Olympiad In China  2011 2014   Problems And Solutions Author Xiong Bin
ISBN-10 9789813142954
Release 2018-03-21
Pages 368
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Mathematical Olympiad In China 2011 2014 Problems And Solutions has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Olympiad In China 2011 2014 Problems And Solutions also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Olympiad In China 2011 2014 Problems And Solutions book for free.

103 Trigonometry Problems

103 Trigonometry Problems Author Titu Andreescu
ISBN-10 0817644326
Release 2006-03-06
Pages 214
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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

Algebraic Inequalities Author Ji Chen
ISBN-10 1938134958
Release 2017
Pages 200
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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

The Legacy of Leonhard Euler Author Lokenath Debnath
ISBN-10 9781848165267
Release 2010
Pages 420
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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.

Introduction to Mathematics with Maple

Introduction to Mathematics with Maple Author Peter Adams
ISBN-10 9812560092
Release 2004
Pages 523
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The principal aim of this book is to introduce university level mathematics ? both algebra and calculus. The text is suitable for first and second year students. It treats the material in depth, and thus can also be of interest to beginning graduate students.New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. To facilitate understanding, a large number of diagrams are included. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text.

Complex Analysis

Complex Analysis Author Murali Rao
ISBN-10 9810203756
Release 1991
Pages 240
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This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in the first few chapters. However, the very basic theory is nevertheless given a thorough treatment so that readers should never feel lost. After the first five chapters, the order may be adapted to suit the course. Each chapter finishes with exercises.

Lectures on Lie Groups

Lectures on Lie Groups Author Wu Yi Hsiang
ISBN-10 9810235291
Release 2000
Pages 108
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This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of . Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.

Future in Retrospect

Future in Retrospect Author Yaqing Qin
ISBN-10 9781938134852
Release 2016-07-08
Pages 340
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What were the new People's Republic of China's policies to the Universal Postal Union in its early years? How did they help China promote its national interests in the world stage? Why did China train Albanian interns in the Cold War? Was it out of "communist fraternity" or was it part of China's concerted public diplomacy efforts? And what role has China's medical assistance to developing countries, especially those in Africa, played in its foreign affairs? Penned by well-known international relations scholars from China, the eight essays in this volume attempt to answer those questions and more. Based on rich literature, including some newly declassified files from the Chinese Ministry of Foreign Affairs, this volume introduces some of the most interesting and significant, but lesser-known, episodes in the diplomatic history of the People's Republic of China, and tries to shed light on their implications and impact on China's diplomacy. Contents:Revolutionary Patriotism: China's Policies to the UPU (1950–1951) (Han Changqing and Yao Baihui)A Relook at China's Policy to Assist Vietnam in Its Resistance War Against France (Niu Jun)The Sino-Albania Alliance Revisited: The Role of Ideology in Alliance Formation and Disintegration (Cheng Xiaohe)Diplomatic Commitment and Strategic Communication and Testing: Vance's Visit to China and the Normalization of China–US Diplomatic Relations (Han Changqing and Wu Wencheng)China's Economic Aid to the DPRK after the Sino-Soviet Split (1961–1965) (Dong Jie)Ideology and Public Diplomacy-Interpreting China's Training Program for Albanian Interns during the Cold War (Jiang Huajie)Ideological Output in Technical Assistance: China's Political and Ideological Education towards Vietnamese Interns in China in the Cold War Period (You Lan)Chinese Medical Team Abroad for Assistance: History, Achievement and Impact (Li Anshan) Readership: Students, researchers, and academics who are interested in China's foreign affairs, diplomacy, and diplomatic history.