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| amc practice test 10: American Mathematics Competitions (AMC 10) Preparation (Volume 3) Yongcheng Chen, 2016 This book can be used by 6th to 10th grade students preparing for AMC 10. Each chapter consists of (1) basic skill and knowledge section with examples, (2) plenty of exercise problems, and (3) detailed solutions to all problems. Training class is offered: http: //www.mymathcounts.com/Copied-2015-Summer-AMC-10-Training-Program.php |
| amc practice test 10: Challenging Problems in Geometry Alfred S. Posamentier, Charles T. Salkind, 2012-04-30 Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions. |
| amc practice test 10: Challenging Problems in Algebra Alfred S. Posamentier, Charles T. Salkind, 2012-05-04 Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided. |
| amc practice test 10: High School Mathematics Challenge Sinan Kanbir, 2020-11 10 practice tests (250 problems) for students who are preparing for high school mathematics contests such as American Mathematics Competitions (AMC-10/12), MathCON Finals, and Math Leagues. It contains 10 practice tests and their full detailed solutions. The authors, Sinan Kanbir and Richard Spence, have extensive experience of math contests preparation and teaching. Dr. Kanbir is the author and co-author of four research and teaching books and several publications about teaching and learning mathematics. He is an item writer of Central Wisconsin Math League (CWML), MathCON, and the Wisconsin section of the MAA math contest. Richard Spence has experience competing in contests including MATHCOUNTS®, AMC 10/12, AIME, USAMO, and teaches at various summer and winter math camps. He is also an item writer for MathCON. |
| amc practice test 10: AMC 10 Preparation Book Nairi Sedrakyan, Hayk Sedrakyan, 2021-04-10 This book consists only of author-created problems with author-prepared solutions (never published before) and it is intended as a teacher's manual of mathematics, a self-study handbook for high-school students and mathematical competitors interested in AMC 10 (American Mathematics Competitions). The book teaches problem solving strategies and aids to improve problem solving skills. The book includes a list of the most useful theorems and formulas for AMC 10, it also includes 12 sets of author-created AMC 10 type practice tests (300 author-created AMC 10 type problems and their detailed solutions). National Math Competition Preparation (NMCP) program of RSM used part of these 12 sets of practice tests to train students for AMC 10, as a result 75 percent of NMCP high school students qualified for AIME. The authors provide both a list of answers for all 12 sets of author-created AMC 10 type practice tests and author-prepared solutions for each problem.About the authors: Hayk Sedrakyan is an IMO medal winner, professional mathematical Olympiad coach in greater Boston area, Massachusetts, USA. He is the Dean of math competition preparation department at RSM. He has been a Professor of mathematics in Paris and has a PhD in mathematics (optimal control and game theory) from the UPMC - Sorbonne University, Paris, France. Hayk is a Doctor of mathematical sciences in USA, France, Armenia and holds three master's degrees in mathematics from institutions in Germany, Austria, Armenia and has spent a small part of his PhD studies in Italy. Hayk Sedrakyan has worked as a scientific researcher for the European Commission (sadco project) and has been one of the Team Leaders at Harvard-MIT Mathematics Tournament (HMMT). He took part in the International Mathematical Olympiads (IMO) in United Kingdom, Japan and Greece. Hayk has been elected as the President of the students' general assembly and a member of the management board of Cite Internationale Universitaire de Paris (10,000 students, 162 different nationalities) and the same year they were nominated for the Nobel Peace Prize. Nairi Sedrakyan is involved in national and international mathematical Olympiads having been the President of Armenian Mathematics Olympiads and a member of the IMO problem selection committee. He is the author of the most difficult problem ever proposed in the history of the International Mathematical Olympiad (IMO), 5th problem of 37th IMO. This problem is considered to be the hardest problems ever in the IMO because none of the members of the strongest teams (national Olympic teams of China, USA, Russia) succeeded to solve it correctly and because national Olympic team of China (the strongest team in the IMO) obtained a cumulative result equal to 0 points and was ranked 6th in the final ranking of the countries instead of the usual 1st or 2nd place. The British 2014 film X+Y, released in the USA as A Brilliant Young Mind, inspired by the film Beautiful Young Minds (focuses on an English mathematical genius chosen to represent the United Kingdom at the IMO) also states that this problem is the hardest problem ever proposed in the history of the IMO (minutes 9:40-10:30). Nairi Sedrakyan's students (including his son Hayk Sedrakyan) have received 20 medals in the International Mathematical Olympiad (IMO), including Gold and Silver medals. |
| amc practice test 10: American Mathematics Competitions (AMC 10) Preparation (Volume 1) Yongcheng Chen, 2015-12-18 This book can be used by 6th to 10th grade students preparing for AMC 10. Each chapter consists of (1) basic skill and knowledge section with examples, (2) plenty of exercise problems, and (3) detailed solutions to all problems. Training class is offered: http: //www.mymathcounts.com/Copied-2015-Summer-AMC-10-Training-Program.php |
| amc practice test 10: American Mathematics Competitions (AMC 10) Preparation (Volume 4) Jane Chen, Yongcheng Chen, Sam Chen, 2016-01-24 This book can be used by students preparing for AMC 10. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. |
| amc practice test 10: American Mathematics Competition 10 Practice Yongcheng Chen, 2015-02-01 This book contains 10 AMC 10 -style tests (problems and solutions). The author tried hard to create each test similar to real AMC 10 exams. Some of the problems in this book were inspired by problems from American Mathematics Competitions 10 and China Math Contest. The author also tried hard to create some new problems. We field tested the problems in this book with students in our 2015 Mathcounts State Competition Training Groups. We would like to thank them for the valuable suggestions and corrections. We tried our best to avoid any mistakes and typos. If you see any mistakes or typos, please contact mymathcounts@gmail.com so we can make improvements to the book. |
| amc practice test 10: The Contest Problem Book IX Dave Wells, J. Douglas Faires, 2008-12-18 A compilation of 325 problems and solutions for high school students. A valuable resource for any mathematics teacher. |
| amc practice test 10: Problems in Abstract Algebra A. R. Wadsworth, 2017-05-10 This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included. |
| amc practice test 10: Middle School Mathematics Challenge Sinan Kanbir, 2020-11-11 10 practice tests (250 problems) for students who are preparing for middle school math contests such as AMC 8/10, MathCOUNTS, and MathCON. It contains 10 practice tests and their full detailed solutions. The author, Dr. Sinan Kanbir, is the author and co-author of four research and teaching books and several publications about teaching and learning mathematics. He is an item writer of Central Wisconsin Math League (CWML), MathCON, and the Wisconsin section of the MAA math contest. |
| amc practice test 10: AMC 8 Practice Tests Adam Tang, Alex Gu, Edwin Xie, Gavin Yu, Jonathan Huang, Kelly Cui, Stephen Xia, Suhas Kotha, Tiger Che, AlphaStar Math Development Team, 2020-10-13 This book is for students who are preparing for middle school math competitions such as AMC 8 and MathCounts. It contains four AMC 8 practice exams with new problems not used in any past competitions and with insightful solutions.The authors of the book, AlphaStar Math Development Team, is a group of expert students and alumni of AlphaStar Academy, an education company located in Bay Area, California offering online courses for contest preparation in Math, Computer Science, and Physics. The authors themselves participated and got excellent results in Math competitions and Olympiads. In particular, in AMC 8, the authors had a combined number of 6 Perfect scores and 21 Distinguished Honor Roll Awards which is given to only top 1% of participants. Dr. Ali Gurel, AlphaStar Academy co-founder and Math Director, led the team and also did the editing. |
| amc practice test 10: 102 Combinatorial Problems Titu Andreescu, Zuming Feng, 2013-11-27 102 Combinatorial Problems consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics. |
| amc practice test 10: Introduction to Counting and Probability David Patrick, 2007-08 |
| amc practice test 10: 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. |
| amc practice test 10: The Art and Craft of Problem Solving Paul Zeitz, 2017 This text on mathematical problem solving provides a comprehensive outline of problemsolving-ology, concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective. |
| amc practice test 10: CogAT Practice Test (Grade 2) Bright Minds Publishing, 2013-01-01 This book is a great resource for students who are planning to appear for the CogAT test for getting into Grade 2 (i.e. current 1st grade students). This book also includes useful tips for preparing for the CogAT test. This books has one full length test similar in format to the actual test that will be administered in the CogAT Test. This test has been authored by experienced professional, verified by educators and administered to students who planned on appearing for the CogAT test. This book has 9 sections as listed below Section 1: Picture Analogies Section 2: Sentence Completion Section 3: Picture Classification Section 4: Number Analogies Section 5: Number Puzzles Section 6: Number Series Section 7: Figure Matrices Section 8: Paper Folding Section 9: Figure Classification We have responded to feedback from our customers. The book now includes additional challenging problems that your child can solve to prepare for the test. The book also includes explanation all 9 sections and the bonus problems in this book. |
| amc practice test 10: Introduction to Geometry Richard Rusczyk, 2007-07-01 |
| amc practice test 10: American Mathematics Competitions (AMC 8) Preparation (Volume 2) Jane Chen, Sam Chen, Yongcheng Chen, 2014-10-11 This book can be used by 5th to 8th grade students preparing for AMC 8. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. Training class is offered: http://www.mymathcounts.com/Copied-2015-Summer-AMC-8-Online-Training-Program.php |
| amc practice test 10: AMC 12 Preparation Book Nairi Sedrakyan, Hayk Sedrakyan, 2021-04-10 This book consists only of author-created problems with author-prepared solutions (never published before) and it is intended as a teacher's manual of mathematics, a self-study handbook for high-school students and mathematical competitors interested in AMC 12 (American Mathematics Competitions). The book teaches problem solving strategies and aids to improve problem solving skills. The book includes a list of the most useful theorems and formulas for AMC 12, it also includes 14 sets of author-created AMC 12 type practice tests (350 author-created AMC 12 type problems and their detailed solutions). National Math Competition Preparation (NMCP) program of RSM used part of these 14 sets of practice tests to train students for AMC 12, as a result 75 percent of NMCP high school students qualified for AIME. The authors provide both a list of answers for all 14 sets of author-created AMC 12 type practice tests and author-prepared solutions for each problem. About the authors: Hayk Sedrakyan is an IMO medal winner, professional mathematical Olympiad coach in greater Boston area, Massachusetts, USA. He is the Dean of math competition preparation department at RSM. He has been a Professor of mathematics in Paris and has a PhD in mathematics (optimal control and game theory) from the UPMC - Sorbonne University, Paris, France. Hayk is a Doctor of mathematical sciences in USA, France, Armenia and holds three master's degrees in mathematics from institutions in Germany, Austria, Armenia and has spent a small part of his PhD studies in Italy. Hayk Sedrakyan has worked as a scientific researcher for the European Commission (sadco project) and has been one of the Team Leaders at Harvard-MIT Mathematics Tournament (HMMT). He took part in the International Mathematical Olympiads (IMO) in United Kingdom, Japan and Greece. Hayk has been elected as the President of the students' general assembly and a member of the management board of Cite Internationale Universitaire de Paris (10,000 students, 162 different nationalities) and the same year they were nominated for the Nobel Peace Prize. Nairi Sedrakyan is involved in national and international mathematical Olympiads having been the President of Armenian Mathematics Olympiads and a member of the IMO problem selection committee. He is the author of the most difficult problem ever proposed in the history of the International Mathematical Olympiad (IMO), 5th problem of 37th IMO. This problem is considered to be the hardest problems ever in the IMO because none of the members of the strongest teams (national Olympic teams of China, USA, Russia) succeeded to solve it correctly and because national Olympic team of China (the strongest team in the IMO) obtained a cumulative result equal to 0 points and was ranked 6th in the final ranking of the countries instead of the usual 1st or 2nd place. The British 2014 film X+Y, released in the USA as A Brilliant Young Mind, inspired by the film Beautiful Young Minds (focuses on an English mathematical genius chosen to represent the United Kingdom at the IMO) also states that this problem is the hardest problem ever proposed in the history of the IMO (minutes 9:40-10:30). Nairi Sedrakyan's students (including his son Hayk Sedrakyan) have received 20 medals in the International Mathematical Olympiad (IMO), including Gold and Silver medals. |
| amc practice test 10: Dr. John Chung's AMC 10, 12 Prep John Chung, 2020-08-08 Dr. Chung wrote this book specifically to meet students' needs and take an organized approach to learning that students could easily grasp. This book is designed to help students learn the most fundamental topics easily and make AMC accessible through exercises and past exam questions. Students can develop their foundational skills with this book, and then build up that foundation to master advanced mathematical skills to solve problems themselves. |
| amc practice test 10: The William Lowell Putnam Mathematical Competition 1985-2000 Kiran Sridhara Kedlaya, Bjorn Poonen, Ravi Vakil, 2002 This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics. |
| amc practice test 10: 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. |
| amc practice test 10: American Mathematics Competitions (AMC 8) Preparation (Volume 3) Jane Chen, Sam Chen, Yongcheng Chen, 2014-10-16 This book can be used by 5th to 8th grade students preparing for AMC 8. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. Training class is offered: http://www.mymathcounts.com/Copied-2015-Summer-AMC-8-Online-Training-Program.php |
| amc practice test 10: Competition Math for Middle School Jason Batteron, 2011-01-01 |
| amc practice test 10: MCAT Practice Test Aamc, Association of American Medical Colleges, 2003-09 A real printed MCAT exam for practice test-taking. |
| amc practice test 10: Introductory Combinatorics Richard A. Brualdi, 1992 Introductory Combinatorics emphasizes combinatorial ideas, including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence relations, and combinatortial structures (matchings, designs, graphs).Written to be entertaining and readable, this book's lively style reflects the author's joy for teaching the subject. It presents an excellent treatment of Polya's Counting Theorem that doesn't assume the student is familiar with group theory. It also includes problems that offer good practice of the principles it presents. The third edition of Introductory Combinatorics has been updated to include new material on partially ordered sets, Dilworth's Theorem, partitions of integers and generating functions. In addition, the chapters on graph theory have been completely revised. |
| amc practice test 10: General Practice John Murtagh, 1998 From a leading figure in Australian medicine comes this edition of thi s immmensely user-friendly reference that employs a symptom-based appr oach to clinical practice. For the full range of conditions met in pri mary practice, you'll review approach to the patient, the physical exa m, probable causes, differential diagnosis, and treatment strategies. Throughout, Dr. Murtagh adds his own clinical pearls that are both ins ightful and a delight to read. Superb illustrations demonstrate examin ation technqiue and abundant use of tables and charts makes diagnosis quick and easy. Most importantly, the clinical insights of internation ally recognized authority Dr. John Murtagh make this a unique and usef ul resource for the physician, nurse practitioner or physician assista nt. |
| amc practice test 10: The Art of Problem Solving: pt. 2 And beyond solutions manual Sandor Lehoczky, Richard Rusczyk, 2006 ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition.--Back cover |
| amc practice test 10: Introduction to Algebra Richard Rusczyk, 2009 |
| amc practice test 10: The Art of Problem Solving, Volume 1 Sandor Lehoczky, Richard Rusczyk, 2006 ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition.--Back cover |
| amc practice test 10: Aamc the Official Guide to the McAt(r) Exam, Fifth Edition Aamc Association of American Medical Col, 2017-11 The Official Guide to the MCAT(R) Exam, the only comprehensive overview about the MCAT exam, includes 120 practice questions and solutions (30 questions in each of the four sections of the MCAT exam) written by the developers of the MCAT exam at the AAMC Everything you need to know about the exam sections Tips on how to prepare for the exam Details on how the exam is scored, information on holistic admissions, and more. |
| amc practice test 10: Mathematical Olympiads 1998-1999 Titu Andreescu, Zuming Feng, 2000-11-02 A large range of problems drawn from mathematics olympiads from around the world. |
| amc practice test 10: First Steps for Math Olympians J. Douglas Faires, 2006-12-21 A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability. |
| amc practice test 10: Prealgebra Solutions Manual Richard Rusczyk, David Patrick, Ravi Bopu Boppana, 2011-08 |
| amc practice test 10: Quant Job Interview Questions and Answers Mark Joshi, Nick Denson, Nicholas Denson, Andrew Downes, 2013 The quant job market has never been tougher. Extensive preparation is essential. Expanding on the successful first edition, this second edition has been updated to reflect the latest questions asked. It now provides over 300 interview questions taken from actual interviews in the City and Wall Street. Each question comes with a full detailed solution, discussion of what the interviewer is seeking and possible follow-up questions. Topics covered include option pricing, probability, mathematics, numerical algorithms and C++, as well as a discussion of the interview process and the non-technical interview. All three authors have worked as quants and they have done many interviews from both sides of the desk. Mark Joshi has written many papers and books including the very successful introductory textbook, The Concepts and Practice of Mathematical Finance. |
| amc practice test 10: Past Papers Question Bank AMC8 [volume 1] Kay, 2018-09-22 The best preparing method for all exams is to solve the past papers of the exam! Analysis of the AMC 8 revealed that there are 81 item types in the test. This book, Past Papers AMC 8 vol.1, contains 1.Linear Equation 2.Venn Diagram 3.Pythagorean Theorem 4.Prime Factorization 5.Number of Ways 6.Average And this book provides correct answers and detailed explanations. In addition, by providing item types for each question, students could make feedback based on incorrect answers. Practice like you test, Test like you practice! |
| amc practice test 10: AMC 10 Preparation Roman Kvasov, 2021-08-07 This book provides the complete preparation for the AMC 10 (American Mathematics Contest). It presents the most popular methods and techniques that are used to solve the problems from AMC 10, and contains 180 practice problems in AMC 10 format with full solutions. |
| amc practice test 10: Ftce General Knowledge Mathematics Preparing Teachers in America, 2016-05-03 Looking to pass the FTCE General Knowledge Mathematics Exam? This guide contains updated exam questions based on the recent changes to the General Knowledge Math Exam. The exam questions are aligned with the Common Core State Standards. This guide includes multi-step word problems similar to the real exam. Included in the FTCE General Knowledge Math are detail explanations to each of the practice exam questions. In addition, suggestions on when and how to use the calculator are included. Plus, a free online tutoring subscription is included with the purchase of the FTCE General Knowledge Mathematics Exams. |
| amc practice test 10: 106 Geometry Problems from the AwesomeMath Summer Program Titu Andreescu, Michal Rolínek, Josef Tkadlec, 2013 This book contains 106 geometry problems used in the AwesomeMath Summer Program to train and test top middle and high-school students from the U.S. and around the world. Just as the camp offers both introductory and advanced courses, this book also builds up the material gradually. The authors begin with a theoretical chapter where they familiarize the reader with basic facts and problem-solving techniques. Then they proceed to the main part of the work, the problem sections. The problems are a carefully selected and balanced mix which offers a vast variety of flavors and difficulties, ranging from AMC and AIME levels to high-end IMO problems. Out of thousands of Olympiad problems from around the globe, the authors chose those which best illustrate the featured techniques and their applications. The problems meet the authors' demanding taste and fully exhibit the enchanting beauty of classical geometry. For every problem, they provide a detailed solution and strive to pass on the intuition and motivation behind it. Many problems have multiple solutions.Directly experiencing Olympiad geometry both as contestants and instructors, the authors are convinced that a neat diagram is essential to efficiently solve a geometry problem. Their diagrams do not contain anything superfluous, yet emphasize the key elements and benefit from a good choice of orientation. Many of the proofs should be legible only from looking at the diagrams. |
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