First Steps for Math Olympians

First Steps for Math Olympians PDF Author: J. Douglas Faires
Publisher: MAA
ISBN: 9780883858240
Category : Mathematics
Languages : en
Pages : 344

Get Book Here

Book Description
A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

First Steps for Math Olympians

First Steps for Math Olympians PDF Author: J. Douglas Faires
Publisher: MAA
ISBN: 9780883858240
Category : Mathematics
Languages : en
Pages : 344

Get Book Here

Book Description
A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

Mock Exams for Math Olympians (Volume 1)

Mock Exams for Math Olympians (Volume 1) PDF Author: Michael C. G.
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

Get Book Here

Book Description
Mock Exams for Math Olympians (Volume 1) - The Best Tasks from Math Olympiads The present edition aims to achieve in the math Olympians the consolidation of their mathematical skills after successfully solving a group of mock exams containing a variety of carefully selected interesting problems, as well as giving them the confidence to successfully face the exams of any math competition. This educational material will be of great help to all students who participate each year in the main mathematics competitions for elementary and middle school in the United States and abroad; and in a very special way for those who are preparing for the MOEMS contest, whose exams have inspired this edition. Furthermore, the problems included herein are very similar to those proposed in the main elementary and middle school mathematics competitions in the United States such as MOEMS, Math Alpha Contest, Noetic Math Contest, Math Kangaroo in USA, etc. This edition consists of a series of workbooks that bring together a collection of select problems by means of Mock Exams and is aimed at elementary and middle school students. Many of the problems included here have been extracted from Math Olympiads around the world and others have been inspired by them, which will allow the student to prepare by performing simulations of a math competition. Likewise, it has been considered to follow the structure and rules of the exams given in the MOEMS contests (Mathematical Olympiads for Elementary and Middle Schools) due to its great popularity in the United States and abroad. Furthermore, each Mock Exam contains 5 questions in increasing order of difficulty to be answered in a time not exceeding 30 minutes, where each correct answer is worth one point and the incorrect answer zero points. The main topics covered by the questions include: sets of numbers, arithmetic operations, math and logic puzzles, divisibility, prime numbers, GCF - LCM, fractions, statistics and probability, geometry in the plane and solids. The exams included in each volume have been divided into two categories, namely, elementary school and middle school, each of them with a total of ten Mock Exams. In this first volume the exams from 1 to 10 are included. The students may only have: pencil, eraser and sharpener. Blank sheets will not be required as the workbook has been designed so that the students can solve each question in the same workbook. No calculators, rulers, graph paper, or any other aid can be used. In addition, the students will find the answers to each question at the end of the book, so that they can verify their results obtained. Finally, the indispensable support of parents or an academic tutor is recommended so that they can guide the student in case of doubts, and the evaluation is carried out with the greatest objectivity and responsibility possible.

The Math Olympian

The Math Olympian PDF Author: Richard Hoshino
Publisher: FriesenPress
ISBN: 1460258738
Category : Education
Languages : en
Pages : 165

Get Book Here

Book Description
BETHANY MACDONALD HAS TRAINED SIX LONG YEARS FOR THIS MOMENT. SHE'LL TRY TO SOLVE FIVE QUESTIONS IN THREE HOURS, FOR ONE IMPROBABLE DREAM. THE DREAM OF REPRESENTING HER COUNTRY, AND BECOMING A MATH OLYMPIAN. As a small-town girl in Nova Scotia bullied for liking numbers more than boys, and lacking the encouragement of her unsupportive single mother who frowns at her daughter's unrealistic ambition, Bethany's road to the International Math Olympiad has been marked by numerous challenges. Through persistence, perseverance, and the support of innovative mentors who inspire her with a love of learning, Bethany confronts these challenges and develops the creativity and confidence to reach her potential. In training to become a world-champion "mathlete", Bethany discovers the heart of mathematics - a subject that's not about memorizing formulas, but rather about problem-solving and detecting patterns to uncover truth, as well as learning how to apply the deep and unexpected connections of mathematics to every aspect of her life, including athletics, spirituality, and environmental sustainability. As Bethany reflects on her long journey and envisions her exciting future, she realizes that she has shattered the misguided stereotype that only boys can excel in math, and discovers a sense of purpose that through mathematics, she can and she will make an extraordinary contribution to society.

Math Olympiad Contest Problems for Elementary and Middle Schools

Math Olympiad Contest Problems for Elementary and Middle Schools PDF Author: George Lenchner
Publisher: Glenwood Publications Incorporated
ISBN: 9780962666216
Category : Juvenile Fiction
Languages : en
Pages : 280

Get Book Here

Book Description


102 Combinatorial Problems

102 Combinatorial Problems PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682228
Category : Mathematics
Languages : en
Pages : 125

Get Book Here

Book Description
"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.

Putnam and Beyond

Putnam and Beyond PDF Author: Răzvan Gelca
Publisher: Springer
ISBN: 3319589881
Category : Mathematics
Languages : en
Pages : 857

Get Book Here

Book Description
This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Oswaal NTA CUET (UG) Mock Test Sample Question Papers English, Physics, Chemistry, Math & General Test (Set of 5 Books) (Entrance Exam Preparation Book 2024)

Oswaal NTA CUET (UG) Mock Test Sample Question Papers English, Physics, Chemistry, Math & General Test (Set of 5 Books) (Entrance Exam Preparation Book 2024) PDF Author: Oswaal Editorial Board
Publisher: Oswaal Books
ISBN: 935958472X
Category : Study Aids
Languages : en
Pages : 905

Get Book Here

Book Description
Description of the product: • 100% Exam Ready With 2023 CUET(UG) Exam Papers (2 Slots) – Fully Solved with Explanations • Fill Learning Gaps With Revision Notes & Chapter Analysis • Crisp Recap with Smart Mind Maps & Concept Videos • Smart Shortcuts To Solve lengthy problems • Final Boost With Tips & Tricks to ACE CUET (UG) in 1st Attempt

Competition Math for Middle School

Competition Math for Middle School PDF Author: Jason Batteron
Publisher:
ISBN: 9781934124208
Category :
Languages : en
Pages :

Get Book Here

Book Description


The IMO Compendium

The IMO Compendium PDF Author: Dušan Djukić
Publisher: Springer Science & Business Media
ISBN: 1441998543
Category : Mathematics
Languages : en
Pages : 819

Get Book Here

Book Description
"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.

How to Think Like a Mathematician

How to Think Like a Mathematician PDF Author: Kevin Houston
Publisher: Cambridge University Press
ISBN: 1139477056
Category : Mathematics
Languages : en
Pages : 341

Get Book Here

Book Description
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.