Download or read book A Gentle Introduction to the American Invitational Mathematics Exam written by Scott A. Annin and published by The Mathematical Association of America. This book was released on 2015-11-16 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit. The AIME contains many problems that have the power to foster enthusiasm for mathematics – the problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fully-solved problems in the book, containing examples from AIME competitions of the 1980’s, 1990’s, 2000’s, and 2010’s. In some cases, multiple solutions are presented to highlight variable approaches. To help problem-solvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.
Download or read book American Invitational Mathematics Examination Aime Preparation written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2014-10-25 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of problems with detailed solutions. In the book, each chapter has three parts: (1) knowledge part talking about theorems, formulas, and skills with examples, (2) problems, (3) solutions to the problems. Topics include: Solid Geometry - Cube and Prism Plane Geometry Similar Triangles Algebraic Manipulations Solving Equations Cauchy Inequalities
Download or read book American Invitational Mathematics Examination AIME Preparation Volume 3 written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2014-10-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of practice problems and solutions.
Download or read book American Invitational Mathematics Examination Aime Preparation written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2014-10-25 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of practice problems and solutions.
Download or read book Fifty Lectures for American Invitational Mathematics Examination Aime written by Yongcheng Chen and published by CreateSpace. This book was released on 2014-10-25 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of problems with detailed solutions. Topics include: Solid Geometry - Cube and Prism Solid Geometry - Tetrahedron Counting with Solid Geometry Plane Geometry Similar Triangles Plane Geometry Area and Area Method Plane Geometry Menelaus and Ceva Algebraic Manipulations Logarithms Solving Equations Cauchy Inequalities
Download or read book 103 Trigonometry Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2006-03-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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
Download or read book A Path to Combinatorics for Undergraduates written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques. The authors' previous text, "102 Combinatorial Problems," makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will interest seasoned mathematicians as well. "A Path to Combinatorics for Undergraduates" is a lively introduction not only to combinatorics, but to mathematical ingenuity, rigor, and the joy of solving puzzles.
Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book AMC 12 Preparation Book written by Nairi Sedrakyan and published by . This book was released on 2021-04-10 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fifty Lectures for American Mathematics Competitions written by Jane Chen and published by Createspace Independent Publishing Platform. This book was released on 2013-01-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the books in this series are primarily designed for AMC competitors, they contain the most essential and indispensable concepts used throughout middle and high school mathematics. Some featured topics include key concepts such as equations, polynomials, exponential and logarithmic functions in Algebra, various synthetic and analytic methods used in Geometry, and important facts in Number Theory. The topics are grouped in lessons focusing on fundamental concepts. Each lesson starts with a few solved examples followed by a problem set meant to illustrate the content presented. At the end, the solutions to the problems are discussed with many containing multiple methods of approach. I recommend these books to not only contest participants, but also to young, aspiring mathletes in middle school who wish to consolidate their mathematical knowledge. I have personally used a few of the books in this collection to prepare some of my students for the AMC contests or to form a foundation for others. By Dr. Titu Andreescu US IMO Team Leader (1995 - 2002) Director, MAA American Mathematics Competitions (1998 - 2003) Director, Mathematical Olympiad Summer Program (1995 - 2002) Coach of the US IMO Team (1993 - 2006) Member of the IMO Advisory Board (2002 - 2006) Chair of the USAMO Committee (1996 - 2004) I love this book! I love the style, the selection of topics and the choice of problems to illustrate the ideas discussed. The topics are typical contest problem topics: divisors, absolute value, radical expressions, Veita's Theorem, squares, divisibility, lots of geometry, and some trigonometry. And the problems are delicious. Although the book is intended for high school students aiming to do well in national and state math contests like the American Mathematics Competitions, the problems are accessible to very strong middle school students. The book is well-suited for the teacher-coach interested in sets of problems on a given topic. Each section begins with several substantial solved examples followed by a varied list of problems ranging from easily accessible to very challenging. Solutions are provided for all the problems. In many cases, several solutions are provided. By Professor Harold Reiter Chair of MATHCOUNTS Question Writing Committee. Chair of SAT II Mathematics committee of the Educational Testing Service Chair of the AMC 12 Committee (and AMC 10) 1993 to 2000.
Download or read book American Mathematics Competitions AMC 10 Preparation Volume 3 written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Mathematical Olympiad in China 2007 2008 written by Bin Xiong and published by World Scientific. This book was released on 2009 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Plane Euclidean Geometry written by Anthony Gardiner and published by Anchor Books. This book was released on 2012 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementary School Math Contests written by Steven Doan and published by . This book was released on 2017-08-15 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary School Math Contests contains over 500 challenging math contest problems and detailed step-by-step solutions in Number Theory, Algebra, Counting & Probability, and Geometry. The problems and solutions are accompanied with formulas, strategies, and tips.This book is written for beginning mathletes who are interested in learning advanced problem solving and critical thinking skills in preparation for elementary and middle school math competitions.
Download or read book USA and International Mathematical Olympiads 2000 written by Titu Andreescu and published by Mathematical Association of America (MAA). This book was released on 2001 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Contest Problem Book II written by Charles T. Salkind and published by Mathematical Association of America (MAA). This book was released on 1966 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
