Trigonometric Functions and Complex Numbers

Author: Desheng Yang
Publisher: World Scientific Publishing Company
ISBN: 1938134885
Format: PDF, Kindle
Download Now
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

Geometric Inequalities

Author: Hayk Sedrakyan
Publisher: Springer
ISBN: 3319550802
Format: PDF, Kindle
Download Now
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.

Methods of Solving Sequence and Series Problems

Author: Ellina Grigorieva
Publisher: Birkhäuser
ISBN: 3319456865
Format: PDF, Kindle
Download Now
This book aims to dispel the mystery and fear experienced by students surrounding sequences, series, convergence, and their applications. The author, an accomplished female mathematician, achieves this by taking a problem solving approach, starting with fascinating problems and solving them step by step with clear explanations and illuminating diagrams. The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference. Proof techniques are emphasized, with a variety of methods presented. The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology. With nearly 300 problems including hints, answers, and solutions, Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.

China and the International Society

Author: Jinjun Zhao
Publisher: World Scientific
ISBN: 1938134524
Format: PDF, Mobi
Download Now
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

103 Trigonometry Problems

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 9780817644321
Format: PDF, Docs
Download Now
* 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

A Friendly Approach to Complex Analysis

Author: Sara Maad Sasane
Publisher: World Scientific Publishing Company
ISBN: 9814579017
Format: PDF, Mobi
Download Now
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)

A Quick Introduction to Complex Analysis

Author: Kalyan Chakraborty
Publisher: World Scientific Publishing Company
ISBN: 9813108533
Format: PDF, ePub, Docs
Download Now
The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels. If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory — the power series method due to Weierstrass and the integration method due to Cauchy — are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples. This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.

Algebraic Inequalities

Author: Ji Chen
Publisher: World Century Mathematical Oly
ISBN: 9781938134951
Format: PDF, Kindle
Download Now
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.

Probability and Expectation

Author: Zun Shan
Publisher: World Scientific Publishing Company
ISBN: 9813141514
Format: PDF
Download Now
In China, lots of excellent students who are good at maths take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year. The author is one of the senior coaches of China's IMO National Team, whose students have won many gold medals many times in IMO. This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. This book will, in an interesting problem-solving way, explain what probability theory is: its concepts, methods and meanings; particularly, two important concepts — probability and mathematical expectation (briefly expectation) — are emphasized. It consists of 65 problems, appended by 107 exercises and their answers.

Half a Century of Pythagoras Magazine

Author: Alex Van Den Brandhof
Publisher: The Mathematical Association of America
ISBN: 0883855879
Format: PDF, ePub, Docs
Download Now
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.