108 Algebra Problems from the AwesomeMath Year-round Program

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ISBN 13 : 9780988562271
Total Pages : 0 pages
Book Rating : 4.5/5 (622 download)

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Book Synopsis 108 Algebra Problems from the AwesomeMath Year-round Program by : Titu Andreescu

Download or read book 108 Algebra Problems from the AwesomeMath Year-round Program written by Titu Andreescu and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

109 Inequalities from the AwesomeMath Summer Program

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ISBN 13 : 9780988562288
Total Pages : 0 pages
Book Rating : 4.5/5 (622 download)

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Book Synopsis 109 Inequalities from the AwesomeMath Summer Program by : Titu Andreescu

Download or read book 109 Inequalities from the AwesomeMath Summer Program written by Titu Andreescu and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

102 Combinatorial Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682228
Total Pages : 125 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 102 Combinatorial Problems by : Titu Andreescu

Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

105 Algebra Problems from the AwesomeMath Summer Program

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ISBN 13 : 9780979926952
Total Pages : 0 pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis 105 Algebra Problems from the AwesomeMath Summer Program by : Titu Andreescu

Download or read book 105 Algebra Problems from the AwesomeMath Summer Program written by Titu Andreescu and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

107 Geometry Problems from the AwesomeMath Year-round Program

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ISBN 13 : 9780979926976
Total Pages : 0 pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis 107 Geometry Problems from the AwesomeMath Year-round Program by : Titu Andreescu

Download or read book 107 Geometry Problems from the AwesomeMath Year-round Program written by Titu Andreescu and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

103 Trigonometry Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817643348
Total Pages : 236 pages
Book Rating : 4.6/5 (433 download)

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Book Synopsis 103 Trigonometry Problems by : Titu Andreescu

Download or read book 103 Trigonometry Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2004-12-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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

106 Geometry Problems from the AwesomeMath Summer Program

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Publisher :
ISBN 13 : 9780979926945
Total Pages : 0 pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis 106 Geometry Problems from the AwesomeMath Summer Program by : Titu Andreescu

Download or read book 106 Geometry Problems from the AwesomeMath Summer Program written by Titu Andreescu and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Problems in Algebraic Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387269983
Total Pages : 354 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problems in Algebraic Number Theory by : M. Ram Murty

Download or read book Problems in Algebraic Number Theory written by M. Ram Murty and published by Springer Science & Business Media. This book was released on 2005-09-28 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

117 Polynomial Problems from the Awesomemath Summer Program

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ISBN 13 : 9780999342848
Total Pages : 234 pages
Book Rating : 4.3/5 (428 download)

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Book Synopsis 117 Polynomial Problems from the Awesomemath Summer Program by : Titu Andreescu

Download or read book 117 Polynomial Problems from the Awesomemath Summer Program written by Titu Andreescu and published by . This book was released on 2019-02-15 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

110 Geometry Problems for the International Mathematical Olympiad

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ISBN 13 : 9780988562226
Total Pages : 0 pages
Book Rating : 4.5/5 (622 download)

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Book Synopsis 110 Geometry Problems for the International Mathematical Olympiad by : Titu Andreescu

Download or read book 110 Geometry Problems for the International Mathematical Olympiad written by Titu Andreescu and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents a collection of carefully selected geometry problems designed for passionate geometers and students preparing for the IMO. Assuming the theory and the techniques presented in the first two geometry books published by XYZ Press, 106 Geometry Problems from the AwesomeMath Summer Program and 107 Problems from the AwesomeMath Year-Round Program, 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. On average, each problem comes with at least two such solutions and with additional remarks about the underlying configuration.

Complex Numbers from A to ...Z

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644490
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Complex Numbers from A to ...Z by : Titu Andreescu

Download or read book Complex Numbers from A to ...Z written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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

Problems from the Book

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Publisher : Xyz Press
ISBN 13 : 9780979926907
Total Pages : 0 pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis Problems from the Book by : Titu Andreescu

Download or read book Problems from the Book written by Titu Andreescu and published by Xyz Press. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume they present innumerable beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths.

Number Theory

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ISBN 13 : 9780988562202
Total Pages : 686 pages
Book Rating : 4.5/5 (622 download)

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Book Synopsis Number Theory by : Titu Andreescu

Download or read book Number Theory written by Titu Andreescu and published by . This book was released on 2017-07-15 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

101 Problems in Algebra

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ISBN 13 : 9781876420123
Total Pages : 139 pages
Book Rating : 4.4/5 (21 download)

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Book Synopsis 101 Problems in Algebra by : Titu Andreescu

Download or read book 101 Problems in Algebra written by Titu Andreescu and published by . This book was released on 2001-01-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Awesome Polynomials for Mathematics Competitions

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ISBN 13 : 9781735831510
Total Pages : pages
Book Rating : 4.8/5 (315 download)

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Book Synopsis Awesome Polynomials for Mathematics Competitions by : Titu Andreescu

Download or read book Awesome Polynomials for Mathematics Competitions written by Titu Andreescu and published by . This book was released on 2021-07-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Primer for Mathematics Competitions

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Publisher : OUP Oxford
ISBN 13 : 0191561703
Total Pages : 368 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis A Primer for Mathematics Competitions by : Alexander Zawaira

Download or read book A Primer for Mathematics Competitions written by Alexander Zawaira and published by OUP Oxford. This book was released on 2008-10-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring "mathlete" may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum.

Competition Math for Middle School

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ISBN 13 : 9781934124208
Total Pages : pages
Book Rating : 4.1/5 (242 download)

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Book Synopsis Competition Math for Middle School by : Jason Batteron

Download or read book Competition Math for Middle School written by Jason Batteron and published by . This book was released on 2011-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: