108 Algebra Problems From The Awesomemath Year Round Program

Author : Titu Andreescu,Adithya Ganesh
Publisher : Unknown
Page : 0 pages
File Size : 55,8 Mb
Release : 2014
Category : Algebra
ISBN : 0988562278

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108 Algebra Problems from the AwesomeMath Year-round Program by Titu Andreescu,Adithya Ganesh Pdf

The book covers many classical topics in elementary algebra, including factoring, quadratic functions, irrational expressions, Vieta's relations, equations and systems of equations, inequalities, sums and products, and polynomials. Expanding upon the previous work in the series, 105 Problems in Algebra from the AwesomeMath Summer Program, this book features additional more advanced topics, including exponents and logarithms, complex numbers, and trigonometry. The special section on trigonometric substitutions and more explores seemingly algebraic problems with natural geometric and trigonometric interpretations. To give the reader practice with the strategies and techniques discussed in each of the chapters, the authors have included 108 diverse problems, of which 54 are introductory and 54 are advanced. Solutions to all of these problems are provided, in which different approaches are compared.

Author : Titu Andreescu
Publisher : Unknown
Page : 0 pages
File Size : 50,5 Mb
Release : 2013
Category : Algebra
ISBN : 0979926955

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105 Algebra Problems from the AwesomeMath Summer Program by Titu Andreescu Pdf

The main purpose of this book is to provide an introduction to central topics in elementary algebra from a problem-solving point of view. While working with students who were preparing for various mathematics competitions or exams, the author observed that fundamental algebraic techniques were not part of their mathematical repertoire. Since algebraic skills are not only critical to algebra itself but also to numerous other mathematical fields, a lack of such knowledge can drastically hinder a student's performance. Taking the above observations into account, the author has put together this introductory book using both simple and challenging examples which shed light upon essential algebraic strategies and techniques, as well as their application in diverse meaningful problems. This work is the first volume in a series of such books. The featured topics from elementary and classical algebra include factorizations, algebraic identities, inequalities, algebraic equations and systems of equations. More advanced concepts such as complex numbers, exponents and logarithms, as well as other topics, are generally avoided.Nevertheless, some problems are constructed using properties of complex numbers which challenge and expose the reader to a broader spectrum of mathematics. Each chapter focuses on specific methods or strategies and provides an ample collection of accompanying problems that graduate in difficulty and complexity. In order to assist the reader with verifying mastery of the theoretical component, 105 problems are included in the last sections of the book, of which 52 are introductory and 53 are advanced. All problems come together with solutions, many employing several approaches and providing the motivation behind the solutions offered.

Author : Titu Andreescu,Michal Rolínek,Josef Tkadlec
Publisher : Unknown
Page : 0 pages
File Size : 40,7 Mb
Release : 2013
Category : Geometry
ISBN : 0979926971

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107 Geometry Problems from the AwesomeMath Year-round Program by Titu Andreescu,Michal Rolínek,Josef Tkadlec Pdf

This book contains 107 geometry problems used in the AwesomeMath Year-Round Program. The problems offer additional challenges for those who have progressed through the 106 Geometry Problems from the AwesomeMath Summer Camp publication. The book begins with a theoretical chapter, where the authors review basic facts and familiarize the reader with some more advanced techniques. The authors then 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 the authors provide a detailed solution and strive to pass on the intuition and motivation behind it. Numerous 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.

Author : Titu Andreescu,Adithya Ganesh
Publisher : Unknown
Page : 0 pages
File Size : 46,8 Mb
Release : 2015
Category : Inequalities (Mathematics)
ISBN : 0988562286

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109 Inequalities from the AwesomeMath Summer Program by Titu Andreescu,Adithya Ganesh Pdf

This book explores the theory and techniques involved in proving algebraic inequalities. To expand the reader's mathematical toolkit, the authors present problems from journals and contests from around the world. Inequalities are an essential topic in Olympiad problem solving, and 109 Inequalities will serve as an instructive resource for students striving for success at national and international competitions. Inequalities are also of great theoretical interest and pave the way towards advanced topics such as analysis, probability theory, and measure theory. Most of all, the authors hope that the reader finds inspiration in both the struggle and beauty of proving algebraic inequalities.

Author : M. Ram Murty,Jody (Indigo) Esmonde
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 53,6 Mb
Release : 2005-09-28
Category : Mathematics
ISBN : 9780387269986

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Problems in Algebraic Number Theory by M. Ram Murty,Jody (Indigo) Esmonde Pdf

The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Author : Titu Andreescu,Michal Rolínek,Josef Tkadlec
Publisher : Unknown
Page : 0 pages
File Size : 45,9 Mb
Release : 2013
Category : Geometry
ISBN : 0979926947

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106 Geometry Problems from the AwesomeMath Summer Program by Titu Andreescu,Michal Rolínek,Josef Tkadlec Pdf

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.

Author : Titu Andreescu,Gabriel Dospinescu
Publisher : Unknown
Page : 0 pages
File Size : 47,8 Mb
Release : 2012
Category : Mathematics
ISBN : 0979926939

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Straight from the Book by Titu Andreescu,Gabriel Dospinescu Pdf

This book is a compilation of many suggestions, much advice, and even more hard work. Its main objective is to provide solutions to the problems which were originally proposed in the first 12 chapters of Problems from the Book. The volume is far more than a collection of solutions. The solutions are used as motivation for the introduction of some very clear mathematical expositions. This is absolutely state-of-the-art material. Everyone who loves mathematics and mathematical thinking should acquire this book.

Author : Titu Andreescu,Zuming Feng
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 48,8 Mb
Release : 2006-03-06
Category : Mathematics
ISBN : 9780817644321

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103 Trigonometry Problems by Titu Andreescu,Zuming Feng Pdf

* 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 : Titu Andreescu,Alessandro Ventullo,Navid Safaei
Publisher : Unknown
Page : 234 pages
File Size : 41,9 Mb
Release : 2019-02-15
Category : Electronic
ISBN : 0999342843

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117 Polynomial Problems from the Awesomemath Summer Program by Titu Andreescu,Alessandro Ventullo,Navid Safaei Pdf

Author : Titu Andreescu
Publisher : Unknown
Page : 0 pages
File Size : 47,7 Mb
Release : 2012
Category : Mathematics
ISBN : 0979926963

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Mathematical Reflections by Titu Andreescu Pdf

This book is a compilation and revision of the 2008 and 2009 volumes from the online journal of the same name. This book is aimed at high school students, participants in math competitions, undergraduates, and anyone who has a fire for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers and all require creativity, experience, and comprehensive mathematical knowledge. This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.

Author : Constantin Mihalescu
Publisher : Unknown
Page : 0 pages
File Size : 45,5 Mb
Release : 2016
Category : Geometry, Modern
ISBN : 0996874518

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The Geometry of Remarkable Elements by Constantin Mihalescu Pdf

This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. With the majority of the results obtained in the second half of the 19th century and the first half of the 20th century, this book was one of the most complete descriptions of geometry of its time. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.

Author : Titu Andreescu,Gabriel Dospinescu
Publisher : Xyz Press
Page : 0 pages
File Size : 49,6 Mb
Release : 2010
Category : Mathematics
ISBN : 0979926904

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Problems from the Book by Titu Andreescu,Gabriel Dospinescu Pdf

In this volume they present innumerable beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths.

Author : Titu Andreescu,Brabislav Kisačanin
Publisher : Unknown
Page : 0 pages
File Size : 45,9 Mb
Release : 2014
Category : Mathematics
ISBN : 098856226X

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Math Leads for Mathletes by Titu Andreescu,Brabislav Kisačanin Pdf

The topics contained in this book are best suited for advanced fourth and fifth graders as well as for extremely talented third graders or for anyone preparing for AMC 8 or similar mathematics contests. The concepts and problems presented could be used as an enrichment material by teachers, parents, math coaches, or in math clubs and circles.

Author : Titu Andreescu,Gabriel Dospinescu,Oleg Mushkarov
Publisher : Unknown
Page : 686 pages
File Size : 45,7 Mb
Release : 2017-07-15
Category : Number theory
ISBN : 0988562200

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Number Theory by Titu Andreescu,Gabriel Dospinescu,Oleg Mushkarov Pdf

Challenge your problem-solving aptitude in number theory with powerful problems that have concrete examples which reflect the potential and impact of theoretical results. Each chapter focuses on a fundamental concept or result, reinforced by each of the subsections, with scores of challenging problems that allow you to comprehend number theory like never before. All students and coaches wishing to excel in math competitions will benefit from this book as will mathematicians and adults who enjoy interesting mathematics.

Author : Titu Andreescu,Dorin Andrica
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 40,6 Mb
Release : 2007-10-08
Category : Mathematics
ISBN : 9780817644499

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Complex Numbers from A to ...Z by Titu Andreescu,Dorin Andrica Pdf

* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory