Math Olympiad Contest Problems, Volume 2 (REVISED) PDF Download

Author: Richard Kalman
Publisher:
ISBN: 9781882144112
Category : Mathematics
Languages : en
Pages : 309

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Author: George Lenchner
Publisher: Glenwood Publications Incorporated
ISBN: 9780962666216
Category : Juvenile Fiction
Languages : en
Pages : 280

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Book Description

Author: George Lenchner
Publisher:
ISBN: 9780975731611
Category : Australian Primary Schools Mathematical Olympiad
Languages : en
Pages : 281

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Book Description

Author: Steven R. Conrad
Publisher:
ISBN: 9780940805064
Category : Mathematical recreations
Languages : en
Pages : 0

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Book Description

Author: Răzvan Gelca
Publisher: Springer
ISBN: 3319589881
Category : Mathematics
Languages : en
Pages : 857

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Book Description
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.

Author: Richard Rusczyk
Publisher:
ISBN: 9781934124222
Category : Algebra
Languages : en
Pages : 224

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Book Description

Author: Evan Chen
Publisher: American Mathematical Soc.
ISBN: 1470466201
Category : Education
Languages : en
Pages : 311

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Book Description
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.

Author: Michael C. G.
Publisher:
ISBN:
Category :
Languages : en
Pages : 200

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Book Description
The Mathematical Olympiads for the Fifth Grade of Elementary School discussed here are none other than the Open Mathematical Olympiads of the City for the 5th grade which are held every year in the city of Moscow since 2007, at the facilities of the Technological University of Russia - MIREA. These Olympiads consist of two independent rounds, one written and one oral. Likewise, the problems included here correspond to the written round, which present two levels of difficulty, of 10 and 5 problems respectively.In this workbook has been compiled all the Olympiads held during the years 2011-2020 and is especially aimed at schoolchildren between 10 and 11 years old, with the aim that the students interested either in preparing for a math competition or simply in practicing entertaining problems to improve their math skills, challenge themselves to solve these interesting problems (recommended even to middle school students with little or no experience in Math Olympiads and who require comprehensive preparation before a competition); or it could even be used for a self-evaluation in this competition, trying the student to solve the greatest number of problems in each exam in a maximum time of 2 hours. It can also be useful for teachers, parents, and math study circles. The book has been carefully crafted so that the student can work on the same book without the need for additional sheets, what will allow the student to have an orderly record of the problems already solved.Each exam includes a set of 15 problems from different school math topics. To be able to face these problems successfully, no greater knowledge is required than that covered in the school curriculum; however, many of these problems require an ingenious approach to be tackled successfully. Students are encouraged to keep trying to solve each problem as a personal challenge, as many times as necessary; and to parents who continue to support their children in their disciplined preparation. Once an answer is obtained, it can be checked against the answers given at the end of the book.

Author: Richard Rusczyk
Publisher:
ISBN: 9781934124215
Category : Algebra
Languages : en
Pages : 608

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Book Description
Prealgebra prepares students for the rigors of algebra, and also teaches students problem-solving techniques to prepare them for prestigious middle school math contests such as MATHCOUNTS, MOEMS, and the AMC 8.Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems. The solutions manual contains full solutions to all of the problems, not just answers.

Author: Michael C. G.
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

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Book Description
Mock Exams for Math Olympians (Volume 1) - The Best Tasks from Math Olympiads The present edition aims to achieve in the math Olympians the consolidation of their mathematical skills after successfully solving a group of mock exams containing a variety of carefully selected interesting problems, as well as giving them the confidence to successfully face the exams of any math competition. This educational material will be of great help to all students who participate each year in the main mathematics competitions for elementary and middle school in the United States and abroad; and in a very special way for those who are preparing for the MOEMS contest, whose exams have inspired this edition. Furthermore, the problems included herein are very similar to those proposed in the main elementary and middle school mathematics competitions in the United States such as MOEMS, Math Alpha Contest, Noetic Math Contest, Math Kangaroo in USA, etc. This edition consists of a series of workbooks that bring together a collection of select problems by means of Mock Exams and is aimed at elementary and middle school students. Many of the problems included here have been extracted from Math Olympiads around the world and others have been inspired by them, which will allow the student to prepare by performing simulations of a math competition. Likewise, it has been considered to follow the structure and rules of the exams given in the MOEMS contests (Mathematical Olympiads for Elementary and Middle Schools) due to its great popularity in the United States and abroad. Furthermore, each Mock Exam contains 5 questions in increasing order of difficulty to be answered in a time not exceeding 30 minutes, where each correct answer is worth one point and the incorrect answer zero points. The main topics covered by the questions include: sets of numbers, arithmetic operations, math and logic puzzles, divisibility, prime numbers, GCF - LCM, fractions, statistics and probability, geometry in the plane and solids. The exams included in each volume have been divided into two categories, namely, elementary school and middle school, each of them with a total of ten Mock Exams. In this first volume the exams from 1 to 10 are included. The students may only have: pencil, eraser and sharpener. Blank sheets will not be required as the workbook has been designed so that the students can solve each question in the same workbook. No calculators, rulers, graph paper, or any other aid can be used. In addition, the students will find the answers to each question at the end of the book, so that they can verify their results obtained. Finally, the indispensable support of parents or an academic tutor is recommended so that they can guide the student in case of doubts, and the evaluation is carried out with the greatest objectivity and responsibility possible.