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Mathematical Puzzle Tales from Mount Olympus uses fascinating tales
from Greek Mythology as the background for introducing mathematics
puzzles to the general public. A background in high school
mathematics will be ample preparation for using this book, and it
should appeal to anyone who enjoys puzzles and recreational
mathematics. Features: Combines the arts and science, and
emphasizes the fact that mathematics straddles both domains. Great
resource for students preparing for mathematics competitions, and
the trainers of such students.
Mathematical Recreations from the Tournament of the Towns contains
the complete list of problems and solutions to the International
Mathematics Tournament of the Towns from Fall 2007 to Spring 2021.
The primary audience for this book is the army of recreational
mathematicians united under the banner of Martin Gardner. It should
also have great value to students preparing for mathematics
competitions and trainers of such students. This book also provides
an entry point for students in upper elementary schools. Features
Huge recreational value to mathematics enthusiasts Accessible to
upper-level high school students Problems classified by topics such
as two-player games, weighing problems, mathematical tasks etc.
Mathematical Puzzle Tales from Mount Olympus uses fascinating tales
from Greek Mythology as the background for introducing mathematics
puzzles to the general public. A background in high school
mathematics will be ample preparation for using this book, and it
should appeal to anyone who enjoys puzzles and recreational
mathematics. Features: Combines the arts and science, and
emphasizes the fact that mathematics straddles both domains. Great
resource for students preparing for mathematics competitions, and
the trainers of such students.
This book convenes a selection of 200 mathematical puzzles with
original solutions, all celebrating the inquisitive and inspiring
spirit of Nobuyuki "Nob" Yoshigahara - a legend in the worldwide
community of mathematical and mechanical puzzles. A graduate from
the Tokyo Institute of Technology, Yoshigahara invented numerous
mechanical puzzles and published over 80 puzzle books. In 2003, he
was honored with the Sam Loyd Award, given by the Association for
Games & Puzzles International to individuals who have been made
a significant contribution to the world of mechanical puzzles. In
this work, the reader will find some of the most ingenious puzzles
ever created, organized in ten categories: Logic, matchstick, maze,
algorithmic, combinatorial, digital, number, geometric, dissection,
and others. Some of them could rivalry with those found at
Mathematical Olympiads tests around the globe; others will work as
powerful brain teasers for those with an interest in
problem-solving. Math teachers, curious students of any age and
even experienced mathematicians with a taste for the fun in science
can find in this book unconventional paths to develop their
problem-solving skills in a creative way.
This unique book presents mathematical competition problems
primarily aimed at upper elementary school students, but are
challenging for students at any age. These problems are drawn from
the complete papers of the legendary Leningrad Mathematical
Olympiads that were presented to the city's Grade Five students.
The period covered is between 1979 - the earliest year for which
relevant records could be retrieved - and 1992, when the former
Soviet Union was dissolved. The respective chapters reflect the
famous four-step approach to problem solving developed by the great
Hungarian mathematics educator Gyorgy Polya. In Chapter One, the
Grade Five Competition problems from the Leningrad Mathematical
Olympiads from 1979 to 1992 are presented in chronological order.
In Chapter Two, the 83 problems are loosely divided into 26 sets of
three or four related problems, and an example is provided for each
one. Chapter Three provides full solutions to all problems, while
Chapter Four offers generalizations of the problems. This book can
be used by any mathematically advanced student at the upper
elementary school level. Teachers and organizers of outreach
activities such as mathematical circles will also find this book
useful. But the primary value of the book lies in the problems
themselves, which were crafted by experts; therefore, anyone
interested in problem solving will find this book a welcome
addition to their library.
This unique book presents mathematical competition problems
primarily aimed at upper elementary school students, but are
challenging for students at any age. These problems are drawn from
the complete papers of the legendary Leningrad Mathematical
Olympiads that were presented to the city's Grade Five students.
The period covered is between 1979 - the earliest year for which
relevant records could be retrieved - and 1992, when the former
Soviet Union was dissolved. The respective chapters reflect the
famous four-step approach to problem solving developed by the great
Hungarian mathematics educator Gyorgy Polya. In Chapter One, the
Grade Five Competition problems from the Leningrad Mathematical
Olympiads from 1979 to 1992 are presented in chronological order.
In Chapter Two, the 83 problems are loosely divided into 26 sets of
three or four related problems, and an example is provided for each
one. Chapter Three provides full solutions to all problems, while
Chapter Four offers generalizations of the problems. This book can
be used by any mathematically advanced student at the upper
elementary school level. Teachers and organizers of outreach
activities such as mathematical circles will also find this book
useful. But the primary value of the book lies in the problems
themselves, which were crafted by experts; therefore, anyone
interested in problem solving will find this book a welcome
addition to their library.
This book provides an overview of how to run a Mathematical
"Circle," i.e., an organization that discovers and nurtures young
mathematical talents through meaningful extra-curricular
activities. This is the first volume in a trilogy describing in
particular the S.M.A.R.T. Circle project, which was founded in
Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for
Saturday Mathematical Activities, Recreations & Tutorials. This
book, Volume I, offers a sampling of many aspects, including
projects and mini-courses. Volume II, which consists of student
projects, addresses the purpose of the Circle, and Volume III,
consisting of mini-courses, explains what actually takes place in
the Circle. All three volumes provide a wealth of resources
(mathematical problems, quizzes and games, together with their
solutions). The books will be of interest to self-motivated
students who want to conduct independent research, teachers who
work with these students, and teachers who are currently running or
planning to run Mathematical Circles of their own.
This book describes projects in a Mathematical "Circle," i.e., an
organization that discovers and nurtures young mathematical talents
through meaningful extra-curricular activities. This is the second
volume in a trilogy describing in particular the S.M.A.R.T. Circle
project, which was founded in Edmonton, Canada in 1981. The acronym
S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations
& Tutorials. This book, Volume II, is based on the papers
published in scientific and education journals by the Circle
members while they were still in junior high school (some still in
elementary school). In essence, it explains the purpose of the
Circle. Volume I describes how to run a Circle, and Volume III
explains what actually takes place in the Circle. All three volumes
provide a wealth of resources (mathematical problems, quizzes and
games, together with their solutions). The books will be of
interest to self-motivated students who want to conduct independent
research, teachers who work with these students, and teachers who
are currently running or planning to run Mathematical Circles of
their own.
This textbook offers an accessible introduction to combinatorics,
infused with Solomon Golomb's insights and illustrative examples.
Core concepts in combinatorics are presented with an engaging
narrative that suits undergraduate study at any level. Featuring
early coverage of the Principle of Inclusion-Exclusion and a
unified treatment of permutations later on, the structure
emphasizes the cohesive development of ideas. Combined with the
conversational style, this approach is especially well suited to
independent study. Falling naturally into three parts, the book
begins with a flexible Chapter Zero that can be used to cover
essential background topics, or as a standalone problem-solving
course. The following three chapters cover core topics in
combinatorics, such as combinations, generating functions, and
permutations. The final three chapters present additional topics,
such as Fibonacci numbers, finite groups, and combinatorial
structures. Numerous illuminating examples are included throughout,
along with exercises of all levels. Three appendices include
additional exercises, examples, and solutions to a selection of
problems. Solomon Golomb's Course on Undergraduate Combinatorics is
ideal for introducing mathematics students to combinatorics at any
stage in their program. There are no formal prerequisites, but
readers will benefit from mathematical curiosity and a willingness
to engage in the book's many entertaining challenges.
This textbook offers an accessible introduction to combinatorics,
infused with Solomon Golomb's insights and illustrative examples.
Core concepts in combinatorics are presented with an engaging
narrative that suits undergraduate study at any level. Featuring
early coverage of the Principle of Inclusion-Exclusion and a
unified treatment of permutations later on, the structure
emphasizes the cohesive development of ideas. Combined with the
conversational style, this approach is especially well suited to
independent study. Falling naturally into three parts, the book
begins with a flexible Chapter Zero that can be used to cover
essential background topics, or as a standalone problem-solving
course. The following three chapters cover core topics in
combinatorics, such as combinations, generating functions, and
permutations. The final three chapters present additional topics,
such as Fibonacci numbers, finite groups, and combinatorial
structures. Numerous illuminating examples are included throughout,
along with exercises of all levels. Three appendices include
additional exercises, examples, and solutions to a selection of
problems. Solomon Golomb's Course on Undergraduate Combinatorics is
ideal for introducing mathematics students to combinatorics at any
stage in their program. There are no formal prerequisites, but
readers will benefit from mathematical curiosity and a willingness
to engage in the book's many entertaining challenges.
The Kurschak Mathematics Competition is the oldest high school
mathematics competition in the world, dating back to 1894. This
book is a continuation of Hungarian Problem Book III and takes the
contest through 1963. Forty-eight problems in all are presented in
this volume. Problems are classified under combinatorics, graph
theory, number theory, divisibility, sums and differences, algebra,
geometry, tangent lines and circles, geometric inequalities,
combinatorial geometry, trigonometry and solid geometry. Multiple
solutions to the problems are presented along with background
material. There is a substantial section entitled 'Looking Back',
which provides additional insights into the problems. Hungarian
Problem Book IV is intended for beginners, although the experienced
student will find much here. Beginners are encouraged to work the
problems in each section and then to compare their results against
the solutions presented in the book. They will find ample material
in each section to help them improve their problem-solving
techniques.
When one thinks of mathematical problems posed over the past 30
years, one name automatically leaps to the fore - Murray Klamkin.
In this book Andy Liu and Bruce Shawyer present problems that he
proposed over his career. It contains the 'quickies' (problems with
quick and neat solutions) he proposed in 'Crux Mathematicorum, '
his longer problems, and also problems which were posed in tribute
to him after he died. Solutions are provided in the second half of
the book
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