eBook ISBN:  9781470458386 
Product Code:  DOL/10.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781470458386 
Product Code:  DOL/10.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 

Book DetailsDolciani Mathematical ExpositionsVolume: 10; 1991; 322 pp
Another collection of problems from bestselling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics.

Table of Contents

Chapters

Morsel 1. A Surprising Property of the Integer 11

Morsel 2. An Unexpected Equality

Morsel 3. An Arithmetic Game

Morsel 4. Sanguku

Morsel 5. Pagan Island

Morsel 6. Persistent Numbers

Gleanings from Murray Klamkin’s Olympiad Corners—1979

Morsel 7. An Application of van der Waerden’s Theorem

Morsel 8. Patruno’s Proof of a Theorem of Archimedes

Morsel 9. An Intractable Sum

Morsel 10. A Cyclic Quadrilateral

Gleanings from Murray Klamkin’s Olympiad Corners—1980

Morsel 11. An Unlikely Perfect Square

Morsel 12. An Unlikely Symmetry

Morsel 13. Two Famous Diophantine Equations

Morsel 14. Brianchon and Ceva

Morsel 15. Playing on a Polynomial

Morsel 16. Overlapping Quadrants

Morsel 17. The Circle and the Annulus

Gleanings from Murray Klamkin’s Olympiad Corners—1981

Morsel 18. On a Balanced Incomplete Block Design

Morsel 19. The Red and White Balls

Morsel 20. A Prime Number Generator

Morsel 21. Neuberg’s Theorem

Morsel 22. A Geometric Calculation

Morsel 23. On Cubic Curves

Morsel 24. An Olympiad Practice Problem

Gleanings from Murray Klamkin’s Olympiad Corners—1982

Morsel 25. A Quadruple of Consecutive Integers

Morsel 26. A BoxPacking Problem

Morsel 27. An Awkward Integral

Morsel 28. A Matter of Perspective

Morsel 29. Sequences of Nested Radicals

Morsel 30. Equations of Factorials

Gleanings from Murray Klamkin’s Olympiad Corners—1983

Morsel 31. An OftNeglected Form

Morsel 32. A Theorem of Léon Anne

Morsel 33. Special Pairs of Positive Integers

Morsel 34. An Intriguing Sequence

Morsel 35. That Number Again

Morsel 36. A Rational Function

Morsel 37. An Unexpected Bijection

Morsel 38. An Unruly Sum

Gleanings from Murray Klamkin’s Olympiad Corners—1984

Morsel 39. An Interesting Inequality

Morsel 40. A Series of Reciprocals

Morsel 41. On the Least Commmon Multiple

Morsel 42. A Family of Equations

Gleanings from Murray Klamkin’s Olympiad Corners—1985

Morsel 43. Diophantine Reciprocals

Morsel 44. Another Series of Reciprocals

Morsel 45. An Illegible MultipleChoice Problem

Morsel 46. On the Partition Function $p(n)$

Gleanings from Murray Klamkin’s Olympiad Corners—1986

Morsel 47. Proof by Interpretation

Morsel 48. On $\sigma (n)$ and $\tau (n)$

Morsel 49. A Surprising Result About Tiling a Rectangle

Morsel 50. An Amazing Locus

Morsel 51. Moessner’s Theorem

Morsel 52. Counting Triangles

Morsel 53. A Geometric Minimum

Morsel 54. The Probabilistic Method

Morsel 55. An Applicaton of Generating Functions

Morsel 56. On RatFree Sets

Morsel 57. A Further Note on Old Morsel 23


Reviews

Ross Honsberger shows how powerful problemsolving is using elementary level mathematical techniques. His book contains a potpourri of intriguing and atypical problems and their solutions for the highly motivated student of mathematics ... A wonderful source of interesting problems for highly gifted high school students, undergraduate mathematics students, and their instructors.
Choice 
As his six previous kaleidoscopes published by MAA, this book is written with a top elegance, lightness and taste.
Zentralblatt für Mathematik 
This book can be used by mathematically gifted students to advance their mathematical level by solving suitable problems, and also by their teachers for their schoolwork. It can give pleasure to everybody who is interested in mathematics, but it can also bring enjoyment to more advanced mathematicians because the collection contains many problems which have unexpected results, in which different parts of mathematics are connected and which solutions are rather surprising. Reading this book your mind will really be at its best.
European Mathematical Society Newsletter


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Another collection of problems from bestselling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics.

Chapters

Morsel 1. A Surprising Property of the Integer 11

Morsel 2. An Unexpected Equality

Morsel 3. An Arithmetic Game

Morsel 4. Sanguku

Morsel 5. Pagan Island

Morsel 6. Persistent Numbers

Gleanings from Murray Klamkin’s Olympiad Corners—1979

Morsel 7. An Application of van der Waerden’s Theorem

Morsel 8. Patruno’s Proof of a Theorem of Archimedes

Morsel 9. An Intractable Sum

Morsel 10. A Cyclic Quadrilateral

Gleanings from Murray Klamkin’s Olympiad Corners—1980

Morsel 11. An Unlikely Perfect Square

Morsel 12. An Unlikely Symmetry

Morsel 13. Two Famous Diophantine Equations

Morsel 14. Brianchon and Ceva

Morsel 15. Playing on a Polynomial

Morsel 16. Overlapping Quadrants

Morsel 17. The Circle and the Annulus

Gleanings from Murray Klamkin’s Olympiad Corners—1981

Morsel 18. On a Balanced Incomplete Block Design

Morsel 19. The Red and White Balls

Morsel 20. A Prime Number Generator

Morsel 21. Neuberg’s Theorem

Morsel 22. A Geometric Calculation

Morsel 23. On Cubic Curves

Morsel 24. An Olympiad Practice Problem

Gleanings from Murray Klamkin’s Olympiad Corners—1982

Morsel 25. A Quadruple of Consecutive Integers

Morsel 26. A BoxPacking Problem

Morsel 27. An Awkward Integral

Morsel 28. A Matter of Perspective

Morsel 29. Sequences of Nested Radicals

Morsel 30. Equations of Factorials

Gleanings from Murray Klamkin’s Olympiad Corners—1983

Morsel 31. An OftNeglected Form

Morsel 32. A Theorem of Léon Anne

Morsel 33. Special Pairs of Positive Integers

Morsel 34. An Intriguing Sequence

Morsel 35. That Number Again

Morsel 36. A Rational Function

Morsel 37. An Unexpected Bijection

Morsel 38. An Unruly Sum

Gleanings from Murray Klamkin’s Olympiad Corners—1984

Morsel 39. An Interesting Inequality

Morsel 40. A Series of Reciprocals

Morsel 41. On the Least Commmon Multiple

Morsel 42. A Family of Equations

Gleanings from Murray Klamkin’s Olympiad Corners—1985

Morsel 43. Diophantine Reciprocals

Morsel 44. Another Series of Reciprocals

Morsel 45. An Illegible MultipleChoice Problem

Morsel 46. On the Partition Function $p(n)$

Gleanings from Murray Klamkin’s Olympiad Corners—1986

Morsel 47. Proof by Interpretation

Morsel 48. On $\sigma (n)$ and $\tau (n)$

Morsel 49. A Surprising Result About Tiling a Rectangle

Morsel 50. An Amazing Locus

Morsel 51. Moessner’s Theorem

Morsel 52. Counting Triangles

Morsel 53. A Geometric Minimum

Morsel 54. The Probabilistic Method

Morsel 55. An Applicaton of Generating Functions

Morsel 56. On RatFree Sets

Morsel 57. A Further Note on Old Morsel 23

Ross Honsberger shows how powerful problemsolving is using elementary level mathematical techniques. His book contains a potpourri of intriguing and atypical problems and their solutions for the highly motivated student of mathematics ... A wonderful source of interesting problems for highly gifted high school students, undergraduate mathematics students, and their instructors.
Choice 
As his six previous kaleidoscopes published by MAA, this book is written with a top elegance, lightness and taste.
Zentralblatt für Mathematik 
This book can be used by mathematically gifted students to advance their mathematical level by solving suitable problems, and also by their teachers for their schoolwork. It can give pleasure to everybody who is interested in mathematics, but it can also bring enjoyment to more advanced mathematicians because the collection contains many problems which have unexpected results, in which different parts of mathematics are connected and which solutions are rather surprising. Reading this book your mind will really be at its best.
European Mathematical Society Newsletter