Mathematical Olympiad Treasures
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| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2011-09-21 |
| Genre | : Mathematics |
| ISBN | : 0817682538 |
Download Mathematical Olympiad Treasures Book in PDF, Epub and Kindle
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2000-04-26 |
| Genre | : Mathematics |
| ISBN | : 9780817641900 |
Download Mathematical Olympiad Challenges Book in PDF, Epub and Kindle
A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 270 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461221382 |
Download Mathematical Olympiad Challenges Book in PDF, Epub and Kindle
Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.
| Author | : Titu Andreescu |
| Publisher | : Birkhäuser |
| Total Pages | : 0 |
| Release | : 2004-01-01 |
| Genre | : Mathematics |
| ISBN | : 9781461220527 |
Download Mathematical Olympiad Treasures Book in PDF, Epub and Kindle
* "Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. * The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics. * The problems are clustered by topic into self-contained sections, that begin with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions. * Should benefit undergraduate students, advanced high school students, instructors, and coaches. * "Treasures" is similar in structure to "Challenges", but with more emphasis on unconventional examples, essay answers, and creative thinking.
| Author | : Radmila Bulajich Manfrino |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 214 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 303460050X |
Download Inequalities Book in PDF, Epub and Kindle
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.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 222 |
| Release | : 2006-03-04 |
| Genre | : Mathematics |
| ISBN | : 0817644326 |
Download 103 Trigonometry Problems Book in PDF, Epub and Kindle
* 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
| Author | : Alfred S. Posamentier |
| Publisher | : Courier Corporation |
| Total Pages | : 296 |
| Release | : 2012-05-04 |
| Genre | : Mathematics |
| ISBN | : 0486131548 |
Download Challenging Problems in Algebra Book in PDF, Epub and Kindle
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.
| Author | : Derek Allan Holton |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 292 |
| Release | : 2009-07-30 |
| Genre | : Mathematics |
| ISBN | : 9814365254 |
Download A First Step To Mathematical Olympiad Problems Book in PDF, Epub and Kindle
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 | : Dušan Djukić |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 819 |
| Release | : 2011-05-05 |
| Genre | : Mathematics |
| ISBN | : 1441998543 |
Download The IMO Compendium Book in PDF, Epub and Kindle
"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.
| Author | : Radmila Bulajich Manfrino |
| Publisher | : Birkhäuser |
| Total Pages | : 319 |
| Release | : 2015-02-09 |
| Genre | : Mathematics |
| ISBN | : 331911946X |
Download Topics in Algebra and Analysis Book in PDF, Epub and Kindle
The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
