eBook ISBN:  9781470457181 
Product Code:  DOL/9.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 
eBook ISBN:  9781470457181 
Product Code:  DOL/9.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 

Book DetailsDolciani Mathematical ExpositionsVolume: 9; 1985; 250 pp
Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathematics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined the faculty in 1964 (Department of Combinatorics and Optimization) and has been there ever since. He is married, the father of three, and grandfather of three. He has published seven bestselling books with the Mathematical Association of America.

Table of Contents

Articles

Gleanings from Combinatorics

Gleanings from Geometry

Two Problems in Combinatorial Geometry

Sheep Fleecing with Walter Funkenbusch

Two Problems in Graph Theory

Two Applications of Generating Functions

Some Problems from the Olympiads

A Second Look at the Fibonacci and Lucas Numbers

Some Problems in Combinatorics

Four Clever Schemes in Cryptography

Gleanings from Number Theory

Schur’s Theorem: An Application of Ramsey’s Theorem

Two Applications of Helly’s Theorem

An Introduction to Ramanujan’s Highly Composite Numbers

On Sets of Points in the Plane

Two Surprises from Algebra

A Problem of Paul Erdös

Cai MaoCheng’s Solution to Katona’s Problem on Families of Separating Subsets


Reviews

Here is a selection of reviews of Ross Honsberger's books:
The reviewer found this little book a joy to read ... the text is laced with historical notes and lively anecdotes and the proofs are models of lucid, uncluttered reasoning.
(about Mathematical Gems I)
P. Hagis, Jr., in Mathematical Reviews 
This book is designed to appeal to high school teachers and undergraduates particularly, but should find a much wider audience. The clarity of exposition and the care taken with all aspects of explanations, diagrams and notation is of a very high standard.
(about Mathematical Gems II)
K. E. Hirst, in Mathematical Reviews 
All (i.e., the articles in Mathematical Gems III) are written in the very clear style that characterizes the two previous volumes, and there is bound to be something here that will appeal to anyone, both student and teacher alike. For instructors, Mathematical Gems III is useful as a source of thematic ideas around which to build classroom lectures ... Mathematical Gems III is to be warmly recommended, and we look forward to the appearance of a fourth volume in the series.
Joseph B. Dence, Mathematics and Computer Education 
These delightful little books contain between them 27 short essays on topics from geometry, combinatorics, graph theory, and number theory. The essays are independent, and can be read in any order ... overall these are serious books presenting pretty mathematics with elegant proofs. These books deserve a place in the library of every teacher of mathematics as a valuable resource. Further, as much of the material would not be beyond upper secondary students, inclusion in school libraries may be felt desirable too.
(about Mathematical Gems I and II)
Paul Scott, in The Australian Mathematics Teacher


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Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathematics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined the faculty in 1964 (Department of Combinatorics and Optimization) and has been there ever since. He is married, the father of three, and grandfather of three. He has published seven bestselling books with the Mathematical Association of America.

Articles

Gleanings from Combinatorics

Gleanings from Geometry

Two Problems in Combinatorial Geometry

Sheep Fleecing with Walter Funkenbusch

Two Problems in Graph Theory

Two Applications of Generating Functions

Some Problems from the Olympiads

A Second Look at the Fibonacci and Lucas Numbers

Some Problems in Combinatorics

Four Clever Schemes in Cryptography

Gleanings from Number Theory

Schur’s Theorem: An Application of Ramsey’s Theorem

Two Applications of Helly’s Theorem

An Introduction to Ramanujan’s Highly Composite Numbers

On Sets of Points in the Plane

Two Surprises from Algebra

A Problem of Paul Erdös

Cai MaoCheng’s Solution to Katona’s Problem on Families of Separating Subsets

Here is a selection of reviews of Ross Honsberger's books:
The reviewer found this little book a joy to read ... the text is laced with historical notes and lively anecdotes and the proofs are models of lucid, uncluttered reasoning.
(about Mathematical Gems I)
P. Hagis, Jr., in Mathematical Reviews 
This book is designed to appeal to high school teachers and undergraduates particularly, but should find a much wider audience. The clarity of exposition and the care taken with all aspects of explanations, diagrams and notation is of a very high standard.
(about Mathematical Gems II)
K. E. Hirst, in Mathematical Reviews 
All (i.e., the articles in Mathematical Gems III) are written in the very clear style that characterizes the two previous volumes, and there is bound to be something here that will appeal to anyone, both student and teacher alike. For instructors, Mathematical Gems III is useful as a source of thematic ideas around which to build classroom lectures ... Mathematical Gems III is to be warmly recommended, and we look forward to the appearance of a fourth volume in the series.
Joseph B. Dence, Mathematics and Computer Education 
These delightful little books contain between them 27 short essays on topics from geometry, combinatorics, graph theory, and number theory. The essays are independent, and can be read in any order ... overall these are serious books presenting pretty mathematics with elegant proofs. These books deserve a place in the library of every teacher of mathematics as a valuable resource. Further, as much of the material would not be beyond upper secondary students, inclusion in school libraries may be felt desirable too.
(about Mathematical Gems I and II)
Paul Scott, in The Australian Mathematics Teacher