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| olympiades mathematiques internationales: La physique des olympiades internationales - Terminale Matthieu Quéval, 2022-06-21 Vous êtes au lycée et la physique vous passionne ? Vous avez entendu parler du concours général ou des olympiades de physique ? Vous voulez faire des études scientifiques ? Ce livre est fait pour vous ! Vous y trouverez : Un cours clair dans lequel sont insérés des entraînements vous permettant de savoir si vous comprenez bien ce que vous lisez.Plus de 400 exercices et leurs corrigés détaillés en fin de chapitre, dont une bonne part issue d’annales de concours (olympiades, concours général, concours des grandes écoles d’ingénieurs, etc.)Sur www.physica.fr les compléments du livre : animations, programmes, vidéos, conseils méthodologiques, travaux pratiques, etc. |
| olympiades mathematiques internationales: Olympiades internationales de mathématiques Mohammed Aassila, 2003 Ce livre s'adresse aux candidats à différentes compétitions mathématiques nationales et internationales. Il pourra intéresser plus généralement tous ceux que les mathématiques passionnent. Il contient les énoncés et solutions des OIM entre 1998 et 2002. Pour chaque problème, nous donnons une solution très détaillée et jusqu'à 15 méthodes différentes de résolution pour un même énoncé. En annexe, sont présentés tous les résultats de l'équipe de France (entre 1967 et 2002), le nom de tous les médaillés d'Or français, le nom de tous les candidats ayant gagné plus de trois médailles d'Or, et le nom des lauréats de la médaille Fields ayant déjà participé aux OIM. |
| olympiades mathematiques internationales: Inequalities Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado, 2010-01-01 This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities. |
| olympiades mathematiques internationales: Mathematical Olympiad Treasures Titu Andreescu, 2005 |
| olympiades mathematiques internationales: The IMO Compendium Dušan Djukić, Vladimir Janković, Ivan Matić, Nikola Petrović, 2011-05-05 The IMO Compendium is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. The IMO Compendium is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off. |
| olympiades mathematiques internationales: Mathematical Olympiad in China (2007-2008) Bin Xiong, Peng Yee Lee, 2009 The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2006 to 2008. Mathematical Olympiad problems with solutions for the years 2002?2006 appear in an earlier volume, Mathematical Olympiad in China. |
| olympiades mathematiques internationales: Putnam and Beyond Răzvan Gelca, Titu Andreescu, 2017-09-19 This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons. |
| olympiades mathematiques internationales: Sequences And Mathematical Induction:in Mathematical Olympiad And Competitions (2nd Edition) Zhi-gang Feng, 2019-10-08 In China, lots of excellent maths students takes 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, he is the headmaster of Shanghai senior high school which is one of the best high schools of China. In the past decade, the students of this school have won the IMO gold medals almost every year.The author attempts to use some common characteristics of sequence and mathematical induction to fundamentally connect Math Olympiad problems to particular branches of mathematics. In doing so, the author hopes to reveal the beauty and joy involved with math exploration and at the same time, attempts to arouse readers' interest of learning math and invigorate their courage to challenge themselves with difficult problems. |
| olympiades mathematiques internationales: Olympiades internationales de mathématiques 2006-2021 Pierre Bornsztein, Thomas Budzinski, Vincent Jugé, 2021-11-10 |
| olympiades mathematiques internationales: You Failed Your Math Test, Comrade Einstein Mikhail A. Shifman, 2005 This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations.The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as “killer problems,” to deny access to higher education to “undesirable” applicants. The focus of this part is the 1980 essay, “Intellectual Genocide”, written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet history, a rare example of the oppressed organizing to defend their dignity. This is the story of the so-called Jewish People's University, the inception of which is associated with Kanevsky, Senderov and Bella Subbotovskaya. |
| olympiades mathematiques internationales: Competitions for Young Mathematicians Alexander Soifer, 2017-06-15 This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students. |
| olympiades mathematiques internationales: MATHEMATICAL OLYMPIAD IN CHINA PEIJIE LIU, 2018-01-16 This book introduces the development of the International Mathematical Olympiad in China from 1986 to 2013, especially the questions and answers of all the previous International Mathematical Olympiad since 1986. This book is suitable for the students who want to participate in high school International Maths Olympic, tutors and fans of general mathematics. This reprint has been authorized by Harbin Institute of Technology Press in North America. |
| olympiades mathematiques internationales: Problems And Solutions In Mathematical Olympiad (High School 3) Hong-bing Yu, 2022-03-16 The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team. |
| olympiades mathematiques internationales: Les Olympiades internationales de mathématique Denis Gerll, Georges Girard, 1976 |
| olympiades mathematiques internationales: Mathematics in African History and Cultures Paulus Gerdes, 2007 This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface. |
| olympiades mathematiques internationales: 1000 challenges mathématiques : géométrie Aassila Mohammed, 2018-03-20 Le présent ouvrage est avant tout une oeuvre de bonheur et une invitation manifeste aux agréments mathématiques. Il propose une promenade exceptionnelle dans la vaste étendue des problèmes des olympiades avec plus de 1000 exercices entièrement résolus, et des dizaines de méthodes et techniques de résolution de ce type de problèmes. Il propose au lecteur de découvrir, redécouvrir ou généraliser des résultats classiques et/ou spectaculaires depuis l’Antiquité et jusqu’aux mathématiques du XXIe siècle, et met à sa disposition les outils nécessaires à cet objectif. Géométrie du triangle, géométrie des quadrilatères, cercles et trigonométrie, géométrie analytique mènent bien sûr la valse, mais la géométrie et les nombres complexes, les transformations géométriques, les inversions, la géométrie projective ne manquent pas au spectacle, et sont toutes parées de costumes neufs et chatoyants. Ce livre s’adresse aussi bien aux enseignants qu’aux élèves et étudiants ayant des connaissances solides en mathématiques, ainsi qu’à tous les amoureux des mathématiques tentés par ces challenges. Cet ouvrage sera utilement complété par 1000 challenges mathématiques, Analyse et 1000 challenges mathématiques, Algèbre, du même auteur, parus chez le même éditeur. |
| olympiades mathematiques internationales: Introduction to Math Olympiad Problems Michael A. Radin, 2021-06-24 Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions |
| olympiades mathematiques internationales: Problems And Solutions In Mathematical Olympiad (High School 2) Shi-xiong Liu, 2022-04-08 The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team. |
| olympiades mathematiques internationales: Mathematical Olympiad in China (2009-2010) Bin Xiong, 2013 The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume of comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2009 to 2010. Mathematical Olympiad problems with solutions for the years 2002OCo2008 appear in an earlier volume, Mathematical Olympiad in China. |
| olympiades mathematiques internationales: International Mathematical Olympiad Volume 3 István Reiman, 2005-09-05 The famed International Mathematical Olympiad has been challenging students worldwide for over 40 years. The first competition was held in Romania in 1959 with seven countries participating. It has since expanded to attract competitors from over 80 countries, representing all five continents. This third volume features every question set from 1991-2004, along with comprehensive solutions and multiple answers where applicable. A fantastic selection of mathematical puzzles, this fully updated three volume series will be of interest to serious mathematicians and enthusiasts alike. István Reiman’s compilation of logic puzzles and questions will tease the intellect of all those with a mathematical mind. |
| olympiades mathematiques internationales: Notes Canadian Mathematical Society, 1987 |
| olympiades mathematiques internationales: USA and International Mathematical Olympiads, 2000 Titu Andreescu, Zuming Feng, 2001 |
| olympiades mathematiques internationales: Les olympiades internationales de mathématiques Denis Gerll, Georges Girard, 1994 |
| olympiades mathematiques internationales: International Mathematical Olympiad: 1991-2004 István Reiman, 2005 The famed International Mathematical Olympiad has been challenging students worldwide for over 40 years. Since the first competition in Romania in 1959 - with only seven countries participating - it has expanded to attract competitors from over 80 countries, representing all five continents. This third volume features every question from 1991-2004, along with comprehensive solutions and multiple answers where applicable. A fantastic selection of mathematical puzzles, this fully updated three-volume series will be of interest to serious mathematicians and enthusiasts alike. Istvan Reiman's compilation of logic puzzles and questions will tease the intellect of all those with a mathematical mind. Istvan Reiman was formerly Leader of the Chair of Geometry at the Budapest University of Technology. He has been guiding the Youth Mathematical Circle of the J Bolyai Mathematical Society and directing the preparation of Hungarian students for the annual International Maths Olympiad for 40 years. |
| olympiades mathematiques internationales: La saga des mathématiciennes - Tome 1 Yves Dao-Léna, 2022-07-29 La saga des mathématiciennes est une odyssée, dans le temps et dans l’espace, de la vie de quarante-cinq femmes méconnues ou célèbres, au surplus mathématiciennes. En dehors de tous les clichés attribués aux activités féminines, elles ont, la plupart du temps, navigué à contre-courant dans leur environnement pour faire émerger des connaissances mathématiques innovantes et prometteuses. De l’antiquité à nos jours, il faut « se promener » et ne pas hésiter à « s’aventurer au hasard » dans cet ouvrage atypique. En effet, il recense, pour chacune de ces « Drôles de Dames », non seulement leurs péripéties personnelles, familiales et leurs travaux mathématiques majeurs, mais aussi les obstacles surmontés et les récompenses obtenues. À PROPOS DE L'AUTEUR Dans cet ouvrage, Yves Dao-Léna valorise et fait connaître les femmes mathématiciennes depuis l’antiquité jusqu’à nos jours. Il met en évidence leurs apports performants, leurs vies, leurs travaux et les difficultés parfois dramatiques qu’elles ont rencontrées, dans un milieu qui reste dans l’esprit du public, des étudiants, des professeurs et des spécialistes en la matière, l’apanage des hommes. Son projet est d’informer de l’existence de ces femmes dans de très nombreux milieux culturels, scientifiques mais aussi littéraires, lyriques et dans les arts : il faut informer et communiquer au monde la façon dont elles ont vécu |
| olympiades mathematiques internationales: Les maths font leur cinéma Jérôme Cottanceau, 2021-01-13 Quel est le lien entre Un homme d’exception, Les figures de l'ombre ou encore Imitation Game ? Ce sont tous des films où les mathématiques jouent un rôle important. A partir d’une sélection de ces films, Jérôme Cottanceau vous emmène à la découverte des mathématiques du grand écran. Nombre d’Or, nombres premiers, théorie des graphes, théorie des jeux, probabilités : le cinéphile qui est en vous risque bien de se révéler féru de maths... ou l’inverse ! |
| olympiades mathematiques internationales: Petites histoires des mathématiques Jean-Pierre Escofier, 2018-03-14 Les mathématiques se sont construites comme science bien avant toutes les autres, des millénaires, contre quelques centaines d'années. Leurs résultats, même les plus anciens, sont toujours valables et, une fois établis par un cerveau, tout le monde peut les comprendre et les utiliser. Cet ouvrage présente un panorama historique des mathématiques, jalonné de près de 400 portraits de mathématiciens, illustres ou méconnus : des origines, Euclide et la numération, à la cryptographie, jusqu'aux développements récents et leurs applications (météorologie, modélisation des écosystèmes, GPS, internet...), sans oublier les mathématiques venues d'ailleurs (algèbre arabe, arithmétique chinoise...). |
| olympiades mathematiques internationales: A Second Step To Mathematical Olympiad Problems Derek Allan Holton, 2011-06-30 See also A FIRST STEP TO MATHEMATICAL OLYMPIAD PROBLEMS The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placement on their country's IMO team. See also A First Step to Mathematical Olympiad Problems which was published in 2009. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A Second Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions. |
| olympiades mathematiques internationales: Les mondes universitaires face au marché. Circulation des savoirs et pratiques des acteurs LECLERC-OLIVE Michèle, SCARFO GHELLAB Grazia et WAGNER Anne-Catherine (Dir.), 2011-06-10 |
| olympiades mathematiques internationales: La précocité intellectuelle Jean-Claude Grubar, 2000 |
| olympiades mathematiques internationales: The Art and Craft of Problem Solving Paul Zeitz, 2016-11-14 Appealing to everyone from college-level majors to independent learners, The Art and Craft of Problem Solving, 3rd Edition introduces a problem-solving approach to mathematics, as opposed to the traditional exercises approach. The goal of The Art and Craft of Problem Solving is to develop strong problem solving skills, which it achieves by encouraging students to do math rather than just study it. Paul Zeitz draws upon his experience as a coach for the international mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems. |
| olympiades mathematiques internationales: Problèmes d’optimisation continue Olivier Lafitte, 2023-03-07 Cet ouvrage est un recueil de problèmes corrigés qui permettent, à travers des cas réalistes, de se confronter à des problèmes complets. Ils vont au-delà de l’aspect « académique » de validation des compétences et permettront aux lecteurs d’avoir des cas d’application. Tous les calculs sont détaillés dans les solutions, le lecteur pourra donc vérifier qu’il applique correctement les techniques du résumé. Les problèmes présentant une application sont suffisamment spécifiques et originaux pour ne pas être dans la majorité des cours. Cet ouvrage s’adresse aux étudiants en Master ou écoles d’ingénieur en optimisation continue. |
| olympiades mathematiques internationales: Le Cerveau a-t-il un sexe ? Madeleine Descargues-Grant, Daphna Joel, Luba Vikhanski, 2020-01-02 L'existence de deux genres fondés sur le sexe est un mythe qui ne résiste pas à l'épreuve de la science moderne ! Voilà le pavé que Daphna Joel jette dans la mare sexiste où pataugent scientifiques et pseudo-théoriciens depuis plusieurs siècles. Il existe bien deux sexes, mais il n'y a pas de nature féminine ou de nature masculine. Et diviser les êtres humains en deux genres est totalement aberrant. Notre cerveau, comme toute notre personnalité, se présente comme une mosaïque changeante. Peut-on alors imaginer un monde sans genre ? C'est nécessaire. Le temps est venu de mettre fin à la conception binaire du sexe. De prendre en compte la complexité humaine, pour faire changer tous les domaines de notre vie : l'éducation, le travail, l'amour, et même la santé. Ce livre militant et clair ouvre la voie. Chercheuse en neuropsychologie, Daphna Joel enseigne à l'université de Tel-Aviv. Luba Vikhanski est journaliste scientifique. |
| olympiades mathematiques internationales: Français Interactif Karen Kelton, Nancy Guilloteau, Carl Blyth, 2011-05-24 |
| olympiades mathematiques internationales: Olympiades Mathematiques Canadiennes, 1979-1985 Canadian Mathematical Society, 1988 |
| olympiades mathematiques internationales: Finance & Development, March 2021 International Monetary Fund. Communications Department, 2021-03 Finance & Development, March 2021 |
| olympiades mathematiques internationales: Le casse Lazarus Geoff White, 2022-10-12 Une affaire retentissante de cybercriminalité au départ de la Corée. Le groupe Lazarus, composé de pirates informatiques nord-coréens d’élite financés et organisés par l’État, est responsable des plus célèbres attaques informatiques de ces dernières années, de Hollywood à la haute finance. La lutte contre ces hackers de génie devient désormais internationale. Un récit extrémement bien documenté, qui se dévore comme un roman d'espionnage. |
| olympiades mathematiques internationales: International Mathematics Olympiad, 1991-2004 István Reiman, 2005 A fantastic compilation of mathematical puzzles, this fully updated three-volume series will challenge and engage serious mathematicians and enthusiasts alike. |
| olympiades mathematiques internationales: Euclidean Geometry in Mathematical Olympiads Evan Chen, 2021-08-23 This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class. |
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