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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.
Author: Liong-shin Hahn
Publisher: 國立臺灣大學出版中心
ISBN: 986035510X
Category : Mathematics
Languages : en
Pages : 249
Get Book
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.
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.
Author: Ivars Peterson
Publisher: American Mathematical Soc.
ISBN: 1470458519
Category : Mathematics
Languages : en
Pages : 170
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Book Description
Author: Victor Ufnarovski
Publisher:
ISBN: 9789144111032
Category :
Languages : en
Pages : 498
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Book Description
Author: Martin Gardner
Publisher: American Mathematical Soc.
ISBN: 147046358X
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume, first published in 1977, contains columns published in the magazine from 1965-1968. This 1990 MAA edition contains a foreword by Persi Diaconis and Ron Graham and a postscript and extended bibliography added by Gardner for this edition.
Author: Royal V. Heath
Publisher: Courier Corporation
ISBN: 0486201104
Category : Games & Activities
Languages : en
Pages : 148
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Book Description
Includes elementary puzzles, number stunts, mental multiplication, interest rates, oddities, and more.
Author: Raymond Blum
Publisher: Sterling Publishing Company Incorporated
ISBN: 9780806983554
Category : Juvenile Nonfiction
Languages : en
Pages : 128
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Book Description
Dozens of number tricks from easy to expert.
Author: Persi Diaconis
Publisher: Princeton University Press
ISBN: 0691151644
Category : Crafts & Hobbies
Languages : en
Pages : 260
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Book Description
"Magical Mathematics" reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician.
Author: Laura Givental
Publisher: American Mathematical Soc.
ISBN: 1470447851
Category : Games in mathematics education
Languages : en
Pages : 171
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Book Description
This book is based on selected topics that the authors taught in math circles for elementary school students at the University of California, Berkeley; Stanford University; Dominican University (Marin County, CA); and the University of Oregon (Eugene). It is intended for people who are already running a math circle or who are thinking about organizing one. It can be used by parents to help their motivated, math-loving kids or by elementary school teachers. We also hope that bright fourth or fifth graders will be able to read this book on their own. The main features of this book are the logical sequence of the problems, the description of class reactions, and the hints given to kids when they get stuck. This book tries to keep the balance between two goals: inspire readers to invent their own original approaches while being detailed enough to work as a fallback in case the teacher needs to prepare a lesson on short notice. It introduces kids to combinatorics, Fibonacci numbers, Pascal's triangle, and the notion of area, among other things. The authors chose topics with deep mathematical context. These topics are just as engaging and entertaining to children as typical “recreational math” problems, but they can be developed deeper and to more advanced levels. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: William Gasarch
Publisher: World Scientific
ISBN: 9811215197
Category : Mathematics
Languages : en
Pages : 227
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Book Description
Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3.Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division? Spoiler alert: No.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. However, the math is elementary enough for an advanced high school student.
