Author | : George Lenchner |

Publisher | : Glenwood Publications Incorporated |

Release Date | : 1997 |

ISBN 10 | : 9780962666216 |

Pages | : 280 pages |

Author | : Richard Kalman |

Publisher | : N.A |

Release Date | : 2016 |

ISBN 10 | : 9789811108846 |

Pages | : 301 pages |

Author | : George Lenchner |

Publisher | : N.A |

Release Date | : 2016 |

ISBN 10 | : 9789811108709 |

Pages | : 280 pages |

Author | : George Lenchner |

Publisher | : N.A |

Release Date | : 2005-01-01 |

ISBN 10 | : 9780975731604 |

Pages | : 280 pages |

Author | : Richard S. Hammond |

Publisher | : Independently Published |

Release Date | : 2018-09-30 |

ISBN 10 | : 9781724188533 |

Pages | : 116 pages |

There are many countries around the world that hold Mathematics Competitions. The Competitions are extremely interesting since many professors try to create new interesting problems. If you want to take part in these competitions, you have to solve many problems. That means you must master your problem-solving skills. Challenging Problems from Around the World Vol 1 is a selected problem book. This book has only two chapters. The first chapter of this book is a collection of problems. We select many good problems from different sources. Most of them used to appear in Mathematics Competitions. In this part, we want the readers try their best to solve the problems. Remember that only a few people can solve all problems in this book. So, do not be up set if you cannot solve some problems. Even we cannot solve problems, we still gain some techniques in solving problems. The readers should keep in mind that the only way in learning Mathematics is to do Mathematics. The second chapter of this book was written about the solution to each problem that listed in the first chapter. We try to solve the problems step by step. We believe that the solutions will help the readers to understand well. Reading through this part, we hope the readers will learn many problem-solving strategies. Let this book be your close friend when you learn about Mathematics. We hope the readers have a great journey in reading this book. Richard S.Hammond

Author | : Richard S. Hammond |

Publisher | : Independently Published |

Release Date | : 2019-09-21 |

ISBN 10 | : 9781694689276 |

Pages | : 158 pages |

A beautiful part in Maths is inequality. There are a lot of techniques and theorems related to inequality. This is the main reason that inequality problems appear in most Mathematics Competitions. Therefore, if you want to be a part of the competitions, mastering in inequality is one thing that you must do. Challenging Problems in Inequalities is a little book about inequalities. This book will provide you with the basics, techniques and theorems in inequalities. We will guide you through many interesting things in inequalities. This book was written in three main parts. The first part is about techniques and theorems in proving inequalities. The second part is about problems. And the last part of the book is about solutions. In the first part of the book, we try to dive readers into the basic inequalities. We lead readers to understand many well-known theorems such as QM-AM-GM-HM inequality, Cauchy-Schwarz inequality, rearrangement inequality, Jensen's inequality, Schur's inequality and etc. Moreover, in each chapter, we give many examples in order to make to make sure that readers understand well about the theorem. Readers should keep in mind that learning maths is not about memorizing but it is all about understanding. The more you understand about the lesson, the more you perform really well in solving problems. In the second part of the book, we listed many challenging problems from around the world. The aim of this part is to help readers to practice their understanding in the first part. Readers should try their best to solve the given problems before seeing the solutions. It is good to figure the answers out by yourself. However, do not worry if you cannot solve them since the last part of the book is about solutions. In this part, we provide readers very detailed solutions to each problems. All problems were solved step by step. This part will help readers to evolve a lot. We hope this book will help readers a lot in inequalities.

Author | : Australasian Problem Solving Mathematical Olympiads (APSMO) Inc. |

Publisher | : N.A |

Release Date | : 2015-06-22 |

ISBN 10 | : 9780975731635 |

Pages | : 329 pages |

Author | : Evan Chen |

Publisher | : The Mathematical Association of America |

Release Date | : 2016-05-02 |

ISBN 10 | : 0883858398 |

Pages | : 311 pages |

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 as 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 | : George Lenchner |

Publisher | : Glenwood Publications Incorporated |

Release Date | : 1990 |

ISBN 10 | : 9780962666209 |

Pages | : 176 pages |

A unique collection of 250 mathematical problems to stimulate & challenge children. The introduction describes the problem solving process & various strategies. Other sections provide answers, hints to get the reader started, & different methods of solution. The concepts serve as an extension & enrichment of the mathematics curriculum for elementary & middle schools. The problems offer opportunities for children to experience the fun, pleasure, & thrill of discovery associated with creative problem solving. WHAT TEACHERS SAY: "I enjoyed teaching & working with the Olympiad problems. It encouraged the children to think & apply concepts they've learned, & to utilize a common-sense approach to solving problems." "Olympiad problems are a wonderful boost to thinking in the elementary school ... most worthwhile & rewarding for both teachers & students alike." WHAT STUDENTS SAY: " I liked Math Olympiads because it gave me an opportunity to think & it was a real challenge. I like the hard problems & realized that the more I did, the easier they became. It was a very nice surprise when I got them right. Math Olympiads was something I enjoyed very much." WHAT REVIEWERS SAY: "This book is a treasury of nonroutine problems ... rich variety ... stress on multiple methods of solution."--The Arithmetic Teacher, May 1992. "designed to challenge young math learners ... unusual format & intriguing problems."--Midwest Book Review, April 1991. "problems requiring critical thinking, logic, reasoning, creativity ... designed to stimulate & challenge children."--Curriculum Review, March 1992.

Author | : Richard Hoshino |

Publisher | : FriesenPress |

Release Date | : 2015-01-26 |

ISBN 10 | : 1460258738 |

Pages | : 492 pages |

BETHANY MACDONALD HAS TRAINED SIX LONG YEARS FOR THIS MOMENT. SHE'LL TRY TO SOLVE FIVE QUESTIONS IN THREE HOURS, FOR ONE IMPROBABLE DREAM. THE DREAM OF REPRESENTING HER COUNTRY, AND BECOMING A MATH OLYMPIAN. As a small-town girl in Nova Scotia bullied for liking numbers more than boys, and lacking the encouragement of her unsupportive single mother who frowns at her daughter's unrealistic ambition, Bethany's road to the International Math Olympiad has been marked by numerous challenges. Through persistence, perseverance, and the support of innovative mentors who inspire her with a love of learning, Bethany confronts these challenges and develops the creativity and confidence to reach her potential. In training to become a world-champion "mathlete", Bethany discovers the heart of mathematics - a subject that's not about memorizing formulas, but rather about problem-solving and detecting patterns to uncover truth, as well as learning how to apply the deep and unexpected connections of mathematics to every aspect of her life, including athletics, spirituality, and environmental sustainability. As Bethany reflects on her long journey and envisions her exciting future, she realizes that she has shattered the misguided stereotype that only boys can excel in math, and discovers a sense of purpose that through mathematics, she can and she will make an extraordinary contribution to society....

Author | : Derek Holton |

Publisher | : World Scientific Publishing Company |

Release Date | : 2009-07-30 |

ISBN 10 | : 9814365254 |

Pages | : 292 pages |

See also A SECOND 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 first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. 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 First 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.

Author | : Paul Zeitz |

Publisher | : Wiley Global Education |

Release Date | : 2016-12-01 |

ISBN 10 | : 1118916662 |

Pages | : 380 pages |

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.