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This literary piece is a collection of compositions I have drafted over the past few years which express my views, observations, and experiences of my life up to this point in time. It is in no way meant to be a biography or depiction of my life; more so, it should be viewed as an overview of my encounters.
AwesomeMath Summer Program started in 2006. Since then until 2021 there have been 48 admission tests featuring a total of 510 problems. The vast majority of the problems were created by Dr. Titu Andreescu, Co-founder and Director of AwesomeMath. The problems are original, carefully designed, and cover all four traditional areas of competition math: Algebra, Geometry, Number Theory, and Combinatorics. The problems and solutions are divided in two volumes. Volume I focuses on the years since the start of the summer program in 2006 through 2014. Volume II includes the years 2015 to 2021, inclusively. Each volume starts with the statements of the test problems. Complete and enhanced solutions to all problems are then presented, numerous problems having multiple solutions.
AwesomeMath Summer Program started in 2006. Since then until 2021 there have been 48 admission tests featuring a total of 510 problems. The vast majority of the problems were created by Dr. Titu Andreescu, Co-founder and Director of AwesomeMath. The problems are original, carefully designed, and cover all four traditional areas of competition math: Algebra, Geometry, Number Theory, and Combinatorics. The problems and solutions are divided in two volumes. Volume I focuses on the years since the start of the summer program in 2006 through 2014. Volume II includes the years 2015 to 2021, inclusively. Each volume starts with the statements of the test problems. Complete and enhanced solutions to all problems are then presented, numerous problems having multiple solutions.
The evolving landscape that makes up modern mathematical competitions has exposed contestants to polynomials more than ever before. Recently, almost all advanced mathematical competitions have at least one problem on polynomials. Despite this rising importance, only a few problem books bring attention to this topic. Thus, the vast universe that polynomials encapsulates should be more thoroughly investigated. This book casts light on the topic of polynomials from numerous angels. The authors present important theoretical facts in harmony with their showcased applications. There are 8 chapters, 252 solved examples, 105 end of chapter problems, all with detailed solutions, as well as 77 additional problems that further enhance the books' exposition.
The ubiquity of polynomials and their ability to characterize complex patterns let us better understand generalizations, theorems, and elegant paths to solutions that they provide. We strive to showcase the true beauty of polynomials through a well-thought collection of problems from mathematics competitions and intuitive lectures that follow the sub-topics. Thus, we present a view of polynomials that incorporates various techniques paired with the favorite themes that show up in math contests.
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