New Mexico Mathematics Contest Problem Book

New Mexico Mathematics Contest Problem Book PDF Author: Liong-shin Hahn
Publisher: UNM Press
ISBN: 9780826335340
Category : Education
Languages : en
Pages : 220

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Book Description
The New Mexico Mathematics Contest for high-school students has been held annually since 1966. Each November, thousands of middle- and high-school students from all over New Mexico converge to battle with elementary but tricky math problems. The 200 highest-scoring students meet for the second round the following February at the University of New Mexico in Albuquerque where they listen to a prominent mathematician give a keynote lecture, have lunch, and then get down to round two, an even more challenging set of mathematical mind-twisters. Liong-shin Hahn was charged with the task of creating a new set of problems each year for the New Mexico Mathematics Contest, 1990-1999. In this volume, Hahn has collected the 138 best problems to appear in these contests over the last decades. They range from the simple to the highly challenging--none are trivial. The solutions contain many clever analyses and often display uncommon ingenuity. His questions are always interesting and relevant to teenage contestants. Young people training for competitions will not only learn a great deal of useful mathematics from this book but, and this is much more important, they will take a step toward learning to love mathematics.

New Mexico Mathematics Contest Problem Book

New Mexico Mathematics Contest Problem Book PDF Author: Liong-shin Hahn
Publisher: UNM Press
ISBN: 9780826335340
Category : Education
Languages : en
Pages : 220

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Book Description
The New Mexico Mathematics Contest for high-school students has been held annually since 1966. Each November, thousands of middle- and high-school students from all over New Mexico converge to battle with elementary but tricky math problems. The 200 highest-scoring students meet for the second round the following February at the University of New Mexico in Albuquerque where they listen to a prominent mathematician give a keynote lecture, have lunch, and then get down to round two, an even more challenging set of mathematical mind-twisters. Liong-shin Hahn was charged with the task of creating a new set of problems each year for the New Mexico Mathematics Contest, 1990-1999. In this volume, Hahn has collected the 138 best problems to appear in these contests over the last decades. They range from the simple to the highly challenging--none are trivial. The solutions contain many clever analyses and often display uncommon ingenuity. His questions are always interesting and relevant to teenage contestants. Young people training for competitions will not only learn a great deal of useful mathematics from this book but, and this is much more important, they will take a step toward learning to love mathematics.

Honsberger Revisited

Honsberger Revisited PDF Author: Liong-shin Hahn
Publisher: 國立臺灣大學出版中心
ISBN: 9860311684
Category : Mathematics
Languages : en
Pages : 645

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Book Description
The author's purpose is to share the thrills and excitement of ingenious solutions to intriguing elementary problems that he has had the good fortune to have conceived in the pursuit of his passion over many years. His satisfaction lies in the beauty of these gems, not in the incidental fact that they happen to be his own work. A wonderful solution is a glorious thing, whoever might have thought of it, and the author has worked diligently to make easy reading of the joy and delights of his often hard-won success. In this volume the author collected his treatments of over a hundred problems from the treasure trove of Professor Honsberger. "This is a book for everyone who delights in the richness, beauty, and excitement of the wonderful ideas that abide in the realm of elementary mathematics. I feel it is only fair to caution you that this book can lead to a deeper appreciation and love of mathematics.

Mathemagical Buffet

Mathemagical Buffet PDF Author: Liong-shin Hahn
Publisher: 國立臺灣大學出版中心
ISBN: 986035510X
Category : Mathematics
Languages : en
Pages : 249

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Book Description
Mathemagical Buffet offers a delectable feast to everyone with a basic facility in secondary-school mathematics. Every topic reflects the incomparable excitement, beauty, and joy of mathematics; they present a wealth of ingenious insights and marvelous ideas at the fundamental level. The chapters are independent and can be read in any order. Everyone who enjoys elementary mathematics will truly delight in the following gems: . Pythagorean Triples via Geometry . New proofs of Generalizations of the Theorems of Ptolemy and Simson . Mind Reading Tricks, Ladder Lotteries, Mazes, Lattice Points, Round Robin Competitions, An Elementary Fixed Point Theorems and More . Simple proofs of the lovely Theorems of Pick and of Jung . The Constructibility of a Regular 17-gon . Open Problems on Egyptian Fractions and on Primes Moreover, the reader is gently encouraged to participate actively by responding to a line of questions that are thoughtfully sprinkled throughout the developments of the expositions.

Mathemagical Cruise

Mathemagical Cruise PDF Author: Liong-shin Hahn(韓良信)
Publisher: 國立臺灣大學出版中心
ISBN: 9863507547
Category : Mathematics
Languages : en
Pages : 252

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Book Description
Mathemagical Cruise is not a mere collection of fun problems with clever solutions. It offers shining examples of how to approach problem solving. Each chapter is independent and can be read in any order by everyone with a basic background in high school mathematics. Some highlights of the excursion are: ● Slick Solutions of Double Sequence, Klarner’s Puzzle, Cube Tour, etc. ● Easy Proofs of Bolyai-Gerwin Theorem, Problem by P. Erdös and more ● New Year Puzzles (Especially, Year 2021 & 2022) ● Twelve Points on the Nine-Point Circle ● What's a Point in a Square? ● Five Circles through a 5x6 Grid ● Generalization of Ceva's Theorem ● Easy Approach to Coaxal Circles ● Inversion and its Applications ● Lattice Integer Triangles ● Isbell's Problem ● Sequence of Theorems of Simson & Cantor ● Miscellaneous Problems with Solutions By cruising through these treasure islands, the reader will traverse mathematical boundaries. Be adventurous and inspired to explore the seas beyond the horizon.

Problem-Solving Strategies

Problem-Solving Strategies PDF Author: Arthur Engel
Publisher: Springer Science & Business Media
ISBN: 0387226419
Category : Mathematics
Languages : en
Pages : 404

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Book Description
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Experiencing Mathematics

Experiencing Mathematics PDF Author: Reuben Hersh
Publisher: American Mathematical Soc.
ISBN: 082189420X
Category : Mathematics
Languages : en
Pages : 311

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Book Description
Part IV. About the author -- An amusing elementary example -- Annotated research bibliography -- Curriculum vitae -- List of articles -- Index -- Back Cover

Mathematical Delights

Mathematical Delights PDF Author: Ross Honsberger
Publisher: American Mathematical Soc.
ISBN: 1470451697
Category : Education
Languages : en
Pages : 264

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Book Description
Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.

Resources in education

Resources in education PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 326

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Book Description


Complex Numbers and Geometry

Complex Numbers and Geometry PDF Author: Liang-shin Hahn
Publisher: American Mathematical Soc.
ISBN: 1470451824
Category : Education
Languages : en
Pages : 204

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Book Description
The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.

The USSR Olympiad Problem Book

The USSR Olympiad Problem Book PDF Author: D. O. Shklarsky
Publisher: Courier Corporation
ISBN: 0486319865
Category : Mathematics
Languages : en
Pages : 481

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Book Description
Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.