The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary

The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary PDF

Author: Kiran S. Kedlaya

Publisher: American Mathematical Soc.

Published: 2020-01-16

Total Pages: 337

ISBN-13: 1470451247

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This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

Problem Solving for New Engineers

Problem Solving for New Engineers PDF

Author: Melisa Buie

Publisher: CRC Press

Published: 2017-07-20

Total Pages: 262

ISBN-13: 1351996444

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This book brings a fresh new approach to practical problem solving in engineering, covering the critical concepts and ideas that engineers must understand to solve engineering problems. Problem Solving for New Engineers: What Every Engineering Manager Wants You to Know provides strategy and tools needed for new engineers and scientists to become apprentice experimenters armed only with a problem to solve and knowledge of their subject matter. When engineers graduate, they enter the work force with only one part of what’s needed to effectively solve problems -- Problem solving requires not just subject matter expertise but an additional knowledge of strategy. With the combination of both knowledge of subject matter and knowledge of strategy, engineering problems can be attacked efficiently. This book develops strategy for minimizing, eliminating, and finally controlling unwanted variation such that all intentional variation is truly representative of the variables of interest.

The Contest Problem Book IX

The Contest Problem Book IX PDF

Author: David Wells

Publisher: American Mathematical Society

Published: 2021-02-22

Total Pages: 220

ISBN-13: 1470454912

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This is the ninth book of problems and solutions from the American Mathematics Competitions (AMC) contests. It chronicles 325 problems from the thirteen AMC 12 contests given in the years between 2001 and 2007. The authors were the joint directors of the AMC 12 and the AMC 10 competitions during that period. The problems have all been edited to ensure that they conform to the current style of the AMC 12 competitions. Graphs and figures have been redrawn to make them more consistent in form and style, and the solutions to the problems have been both edited and supplemented. A problem index at the back of the book classifies the problems into subject areas of Algebra, Arithmetic, Complex Numbers, Counting, Functions, Geometry, Graphs, Logarithms, Logic, Number Theory, Polynomials, Probability, Sequences, Statistics, and Trigonometry. A problem that uses a combination of these areas is listed multiple times. The problems on these contests are posed by members of the mathematical community in the hope that all secondary school students will have an opportunity to participate in problem-solving and an enriching mathematical experience.

The Contest Problem Book VIII

The Contest Problem Book VIII PDF

Author: J. Douglas Faires

Publisher: American Mathematical Society

Published: 2022-02-25

Total Pages: 212

ISBN-13: 1470468514

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For more than 50 years, the Mathematical Association of America has been engaged in the construction and administration of challenging contests for students in American and Canadian high schools. The problems for these contests are constructed in the hope that all high school students interested in mathematics will have the opportunity to participate in the contests and will find the experience mathematically enriching. These contests are intended for students at all levels, from the average student at a typical school who enjoys mathematics to the very best students at the most special school. In the year 2000, the Mathematical Association of America initiated the American Mathematics Competitions 10 (AMC 10) for students up to grade 10. The Contest Problem Book VIII is the first collection of problems from that competition covering the years 2001–2007. J. Douglas Faires and David Wells were the joint directors of the AMC 10 and AMC 12 during that period, and have assembled this book of problems and solutions. There are 350 problems from the first 14 contests included in this collection. A Problem Index at the back of the book classifies the problems into the following major subject areas: Algebra and Arithmetic, Sequences and Series, Triangle Geometry, Circle Geometry, Quadrilateral Geometry, Polygon Geometry, Counting Coordinate Geometry, Solid Geometry, Discrete Probability, Statistics, Number Theory, and Logic. The major subject areas are then broken down into subcategories for ease of reference. The problems are cross-referenced when they represent several subject areas.

The Contest Problem Book VII: American Mathematics Competitions, 1995–2000 Contests

The Contest Problem Book VII: American Mathematics Competitions, 1995–2000 Contests PDF

Author: Harold B. Reiter

Publisher: American Mathematical Soc.

Published: 2019-01-24

Total Pages: 183

ISBN-13: 1470449706

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This is the seventh book of problems and solutions from the Mathematics Competitions. Contest Problem Book VII chronicles 275 problems from the American Mathematics Contests (AMC 12 and AMC 10 for the years 1995 through 2000, including the 50th Anniversary AHSME issued in 1999). Twenty-three additional problems with solutions are included. A Problem Index classifies the 275 problems in to the following subject areas: Algebra, Complex Numbers, Discrete Mathematics (including Counting Problems), Logic, and Discrete Probability, Geometry (including Three Dimensional Geometry), Number Theory (including Divisibility, Representation, and Modular Arithmetic), Statistics, and Trigonometry. For over 50 years many excellent exams have been prepared by individuals throughout our mathematical community in the hope that all secondary school students will have an opportunity to participate in these problem solving and enriching mathematics experiences. The American Mathematics Contests are intended for everyone from the average student at a typical school who enjoys mathematics to the very best student at the most special school.

The Mathematics of Various Entertaining Subjects

The Mathematics of Various Entertaining Subjects PDF

Author: Jennifer Beineke

Publisher: Princeton University Press

Published: 2019-04-09

Total Pages: 290

ISBN-13: 0691183473

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The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics. Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more. Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Hungarian Problem Book IV

Hungarian Problem Book IV PDF

Author: Robert Barrington Leigh

Publisher: MAA

Published: 2011

Total Pages: 132

ISBN-13: 0883858312

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Forty-eight challenging problems from the oldest high school mathematics competition in the world. This book is a continuation of Hungarian Problem Book III and takes the contest from 1944 through to 1963. This book is intended for beginners, although the experienced student will find much here.

The William Lowell Putnam Mathematical Competition Problems and Solutions

The William Lowell Putnam Mathematical Competition Problems and Solutions PDF

Author: Andrew M. Gleason

Publisher: MAA

Published: 1980

Total Pages: 668

ISBN-13: 9780883854624

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Back by popular demand, the MAA is pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 1938-1964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions.

Adventures of the Curious Kids: Tales of Mystery and Wonder

Adventures of the Curious Kids: Tales of Mystery and Wonder PDF

Author: Robin Wickens

Publisher: Rob's Books

Published: 2024-06-05

Total Pages: 227

ISBN-13:

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Embark on a whirlwind of wonder and excitement with the "Adventures of the Curious Kids," a collection of 50 short stories that will enchant readers of all ages. Follow a spirited group of inquisitive youngsters as they delve into mysterious realms, unravel perplexing puzzles, and discover the magic hidden within everyday moments. From daring escapades to heartwarming discoveries, each tale in this captivating book invites you to join the intrepid Curious Kids on their unforgettable adventures. A delightful blend of whimsy, curiosity, and friendship awaits within these pages, making this a must-read for anyone who craves a touch of enchantment in their day.