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Author: Titu Andreescu
Publisher:
Published: 2014
Total Pages: 0
ISBN-13: 9780988562264
DOWNLOAD EBOOKThe 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: W. C. Mack
Publisher: Scholastic Canada
Published: 2013-02
Total Pages: 178
ISBN-13: 1443113611
DOWNLOAD EBOOKOwen Evans lights up the scoreboards. His brother, Russell, rocks the school boards. These twin brothers couldn't be more different. They've long kept the peace by going their separate ways, but all that is about to change. The new basketball coach recruits Russell for the seventh grade team and a jealous Owen has to fight to stay in the game. When someone tries to steal Russell's spot as captain of the mathlete team, will the two be able to put aside their differences in order to save his position? Or will they be sidelined?Perfect for fans of Matt Christopher and Andrew Clements alike, this is a lighthearted and hilarious look at what happens when brains meets brawn meets basketball.
Author: Titu Andreescu
Publisher:
Published: 2012
Total Pages: 0
ISBN-13: 9780979926938
DOWNLOAD EBOOKThis 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
Publisher:
Published: 2013
Total Pages: 0
ISBN-13: 9780979926952
DOWNLOAD EBOOKThe 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
Publisher: Springer Science & Business Media
Published: 2013-11-27
Total Pages: 125
ISBN-13: 0817682228
DOWNLOAD EBOOK"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.
Author: Titu Andreescu
Publisher:
Published: 2018
Total Pages: 0
ISBN-13: 9780996874588
DOWNLOAD EBOOKThis book would certainly help Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various competitive levels. The inequalities from each section are ordered increasingly by the number of variables: one, two, three, four, and multi-variables. 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.
Author: Titu Andreescu
Publisher:
Published: 2017-11
Total Pages: 200
ISBN-13: 9780999342800
DOWNLOAD EBOOKFocusing on Trigonometry reveals a wealth of alternate approaches to solving intricate geometry problems while providing foundational support in other areas of mathematics such as Fourier Analysis and Differential Equations. It is time for Trigonometry to receive the attention it deserves in this stand-alone book where the theory chapter is an invaluable pedagogical resource with lots of examples and guided exercises and 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. This book is not only for those studying for mathematics Olympiads but all individuals who want a better understanding of Trigonometry so they will be more successful in different settings such as a calculus course. This book offers a comprehensive overview of the trigonometric functions and contains a collection of 115 carefully selected introductory and advanced problems in Trigonometry from world-wide renowned Olympiads and mathematical magazines, as well as original problems designed by the authors. Together with the beautiful examples and the creative solutions, the present text is a valuable resource and teaching material for anybody who wants to explore the beauty of Trigonometry.
Author: Titu Andreescu
Publisher: John Wiley & Sons
Published: 2019-11-13
Total Pages: 356
ISBN-13: 1119575702
DOWNLOAD EBOOKHelp your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.
Author: Branislav Kisacanin
Publisher: Springer Science & Business Media
Published: 2007-05-08
Total Pages: 219
ISBN-13: 0306469634
DOWNLOAD EBOOKA gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The author guides readers through the process of solving enigmatic proofs and problems, and assists them in making the transition from problem solving to theorem proving. At once a requisite text and an enjoyable read, Mathematical Problems and Proofs is an excellent entrée to discrete mathematics for advanced students interested in mathematics, engineering, and science.
Author: Shannon Lee Alexander
Publisher: Entangled: Teen
Published: 2014-10-07
Total Pages: 371
ISBN-13: 162266468X
DOWNLOAD EBOOKCharlie Hanson has a clear vision of his future. A senior at Brighton School of Mathematics and Science, he knows he'll graduate, go to MIT, and inevitably discover solutions to the universe's greatest unanswered questions. He's that smart. But Charlie's future blurs the moment he reaches out to touch the tattoo on a beautiful girl's neck. The future has never seemed very kind to Charlotte Finch, so she's counting on the present. She's not impressed by the strange boy at the donut shop—until she learns he's a student at Brighton where her sister has just taken a job as the English teacher. With her encouragement, Charlie orchestrates the most effective prank campaign in Brighton history... Now Charlie is falling hard for Charlotte—and faster than 32 feet per second squared. Her gravitational pull is quickly becoming irresistible. But Charlotte has a few secrets of her own...and it’s only a matter of time before Charlie’s carefully-executed future comes crashing down.
