114 Exponent And Logarithm Problems From The Awesomemath Summer Program PDF Download

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114 Exponent and Logarithm Problems from the AwesomeMath Summer Program

114 Exponent and Logarithm Problems from the AwesomeMath Summer Program
Author: Titu Andreescu
Publisher:
Total Pages: 150
Release: 2016-12-05
Genre:
ISBN: 9780996874564

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This book covers the theoretical background of exponents and logarithms, as well as some of their important applications. Starting from the basics, the reader will gain familiarity with how the exponential and logarithmic functions work, and will then learn how to solve different problems with them. The authors give the readers the opportunity to test their understanding of the topics discussed by exposing them to 114 carefully chosen problems, whose full solutions can be found at the end of the book.


113 Geometric Inequalities from the AwesomeMath Summer Program

113 Geometric Inequalities from the AwesomeMath Summer Program
Author: Adrian Andreescu
Publisher:
Total Pages: 0
Release: 2017
Genre:
ISBN: 9780979926983

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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. Nevertheless, trying your hand at these types of inequalities consolidates your mathematical reasoning while exposing you to a broad range of problems, all teeming with insightful inequality-type solutions.


108 Algebra Problems from the AwesomeMath Year-round Program

108 Algebra Problems from the AwesomeMath Year-round Program
Author: Titu Andreescu
Publisher:
Total Pages: 0
Release: 2014
Genre: Algebra
ISBN: 9780988562271

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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.


103 Trigonometry Problems

103 Trigonometry Problems
Author: Titu Andreescu
Publisher: Springer Science & Business Media
Total Pages: 214
Release: 2006-03-06
Genre: Mathematics
ISBN: 0817644326

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* 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


Straight from the Book

Straight from the Book
Author: Titu Andreescu
Publisher:
Total Pages: 0
Release: 2012
Genre: Mathematics
ISBN: 9780979926938

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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.


112 Combinatorial Problems from the AwesomeMath Summer Program

112 Combinatorial Problems from the AwesomeMath Summer Program
Author: Vlad Matei
Publisher:
Total Pages: 0
Release: 2016
Genre: Combinatorial analysis
ISBN: 9780996874526

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This book aims to give students a chance to begin exploring some introductory to intermediate topics in combinatorics, a fascinating and accessible branch of mathematics centered around (among other things) counting various objects and sets. We include chapters featuring tools for solving counting problems, proof techniques, and more to give students a broad foundation to build on. The only prerequisites are a solid background in arithmetic, some basic algebra, and a love for learning math.


Number Theory

Number Theory
Author: Titu Andreescu
Publisher:
Total Pages: 686
Release: 2017-07-15
Genre: Number theory
ISBN: 9780988562202

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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.


109 Inequalities from the AwesomeMath Summer Program

109 Inequalities from the AwesomeMath Summer Program
Author: Titu Andreescu
Publisher:
Total Pages: 0
Release: 2015
Genre: Inequalities (Mathematics)
ISBN: 9780988562288

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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.


An Introduction to Diophantine Equations

An Introduction to Diophantine Equations
Author: Titu Andreescu
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2010-09-02
Genre: Mathematics
ISBN: 0817645497

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This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.