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Author: Alexander Soifer Publisher: Springer ISBN: 3319565850 Category : Education Languages : en Pages : 383
Book Description
This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students.
Author: Alexander Soifer Publisher: Springer ISBN: 3319565850 Category : Education Languages : en Pages : 383
Book Description
This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students.
Author: Gabor J. Szekely Publisher: Springer Science & Business Media ISBN: 1461207339 Category : Mathematics Languages : en Pages : 576
Book Description
One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.
Author: J. Douglas Faires Publisher: MAA ISBN: 9780883858240 Category : Mathematics Languages : en Pages : 344
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.
Author: Melvyn B. Nathanson Publisher: Springer Science & Business Media ISBN: 0387227385 Category : Mathematics Languages : en Pages : 518
Book Description
This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.
Author: Dierk Schleicher Publisher: Springer Science & Business Media ISBN: 3642195334 Category : Mathematics Languages : en Pages : 225
Book Description
This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership.
Author: Răzvan Gelca Publisher: Springer ISBN: 3319589881 Category : Mathematics Languages : en Pages : 857
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.
Author: Sue VanHattum Publisher: ISBN: 9780977693993 Category : Education Languages : en Pages : 372
Book Description
Playing with Math: Stories from Math Circles, Homeschoolers, and Passionate Teachers brings together the stories of over thirty authors who share their math enthusiasm with their communities, families, or students. After every chapter is a puzzle, game, or activity to get you and your kids playing with math too. MATH CIRCLES: Julia and Maria conduct math circles with young children. Jamylle creates a math circle for African American middle-school students. Bob and Ellen take their math circle into a prison. Colleen discovers the power of games at her after-school math center. Sue opens her home up for families to play with math. Nancy creates a math festival. HOMESCHOOLERS: Julie learns from her kids how differently each child learns math. Jimmie hesitantly dips her toe in the water, and moves her daughter toward a living math approach. Tiff, the math hater, discovers beauty in math. PASSIONATE TEACHERS: Michelle teaches math with the help of three-toed dinosaurs, while Friedrich gets his help from vampires. Pilar begs parents to let their kids discover mathematical truths without being shown our grown-up shortcuts too quickly. WHO'S THIS BOOK FOR? Parents, grandparents, teachers, math enthusiasts, math-haters who don't want to pass their affliction on...Everyone! Thoughtful stories, puzzles, games, and activities will give you new insights. Join us - we're playing with math!
Author: Alexander Soifer
Author: Alexander Soifer
Author: Gabor J. Szekely
Author: J. Douglas Faires
Author: Melvyn B. Nathanson
Author: Dierk Schleicher
Author: Titu Andreescu
Author: Răzvan Gelca
Author: Geretschlager Robert
Author: Jason Batteron
Author: Sue VanHattum