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Casts light on the topic of polynomials from numerous angles. 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.

An in-depth book centred around Algebra, featuring beautiful and intriguing problems. All problems were created by the authors. The book showcases the heart of Algebra not as a textbook, but rather as a collection of the most essential concepts and their applications.

A sequel to the 116 Algebraic Inequalities from the AwesomeMath Year-round Program and 118 Inequalities for Mathematics Competitions. The book delves into other elementary techniques but also powerful methods and generalizations for constrained optimization in the theory of inequalities.

A compilation and revision of the 2018 and 2019 volumes from the online journal of the same name. The book is aimed at high school students, participants in math competitions, undergraduates, and anyone who has a fire for mathematics. This is a great resource for students training for advanced mathematics competitions.

The problems in the book were selected from the 1975 to 1986 Romanian Team Selection Tests. The problems are not only accompanied by their solutions, but also many have more than one solution and comments in order to make them clearer or to get connections to other problems.

Bridging the enthusiastic problem solver and the beautiful field of graphs, this book takes readers from the very basics through to some beautiful theorems, right up to the hard problems. Weather you want to become better at problem solving, or just to learn some lovely elementary mathematics, this book is a great companion.

Features selected techniques in the field. Inequalities from each section are ordered increasingly by the number of variables and the degree of difficulty. Each problem has at least one complete solution, and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.

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.

As a sequel to 113 Geometric Inequalities from the AwesomeMath Summer Program, this book extends the themes discussed in the former book and broadens a problem-solver's competitive arsenal.

A compilation and revision of the 2016 and 2017 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.

Covers telescoping sums and products in algebra and trigonometry; the use of complex numbers and de Moivre's Formula; Abel's summation formula; mathematical induction; combinatorial identities; and multiplicative functions and the use of Mobius function. The theory is presented together with rich examples.

Trigonometry finally receives the attention it deserves in this stand-alone book. The theory chapter is an invaluable pedagogical resource with lots of examples and guided exercises. The subsequent chapters offer a collection of carefully selected introductory through advanced problems and solutions intended to enhance the problem-solving skills of the reader.

Part of the Math Leads for Mathletes series, this book provides more challenging units for young math problem solvers and many others! The book draws on the authors' experience working with young mathletes and on the collective wisdom of mathematics educators around the world to help parents and mentors challenge and teach their aspiring math problem solvers.

This books stems from the desire to publish Cuban National Mathematical Olympiad problems with elegant solutions and illustrations. It encompasses all problems from the 2001 to 2016 Olympiads, except for 2002, with thorough, in-depth solutions. This work is a meticulous exposition with complete solutions to every problem, allowing readers to grasp the problem-solving techniques discussed.

For the curious reader looking to sharpen their arsenal of mathematical strategies on the Olympiad level, 113 Geometric Inequalities from the AwesomeMath Summer Program is a valuable addition. This problem-solving methodology prompts key ideas in other domains such as calculus or complex numbers as the solutions are usually nonstandard in a geometric sense.

Presents a collection of carefully selected geometry problems designed for passionate geometers and students preparing for the IMO. This book presents a multitude of beautiful synthetic solutions that are meant to give a sense of how one should think about difficult geometry problems. Each problem comes with at least two such solutions and with additional remarks.

Offers a compilation and revision of the 2012 and 2013 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. Passionate readers submitted many of the problems, solutions, and articles and all require creativity, experience, and comprehensive mathematical knowledge.

Serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject.

Takes familiar ideas and extends them to a rich variety of problems. The topics covered span algebra, geometry, number theory, and even a few elements of mathematical analysis. The "landscapes" presented provide a "view" into areas that are not typically encountered in great depth in standard coursework but nonetheless have profound implications.

A compilation and revision of the 2014 and 2015 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. This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.

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 this title is an instructive resource for students striving for success at national and international competitions.

Provides an introduction to central topics in elementary algebra from a problem-solving point of view. This introductory book uses both simple and challenging examples which shed light on essential algebraic strategies and techniques, as well as their application in diverse meaningful problems.

Offers a compilation and revision of the 2008 and 2009 volumes from the online journal of the same name. It 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 aimed at high school students, participants in math competitions, undergraduates, as well as anyone who has a fire for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers. They require creativity, experience, and comprehensive mathematical knowledge.

Presents beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths. A truly delightful and highly instructive book, this will prepare the engaged reader not only for any mathematics competition they may enter but also for a lifetime of mathematical enjoyment.