eBook ISBN: | 978-1-4704-5838-6 |
Product Code: | DOL/10.E |
List Price: | $35.00 |
MAA Member Price: | $26.25 |
AMS Member Price: | $26.25 |
eBook ISBN: | 978-1-4704-5838-6 |
Product Code: | DOL/10.E |
List Price: | $35.00 |
MAA Member Price: | $26.25 |
AMS Member Price: | $26.25 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 10; 1991; 322 pp
Another collection of problems from best-selling 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.
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Table of Contents
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Chapters
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Morsel 1. A Surprising Property of the Integer 11
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Morsel 2. An Unexpected Equality
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Morsel 3. An Arithmetic Game
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Morsel 4. Sanguku
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Morsel 5. Pagan Island
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Morsel 6. Persistent Numbers
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Gleanings from Murray Klamkin’s Olympiad Corners—1979
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Morsel 7. An Application of van der Waerden’s Theorem
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Morsel 8. Patruno’s Proof of a Theorem of Archimedes
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Morsel 9. An Intractable Sum
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Morsel 10. A Cyclic Quadrilateral
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Gleanings from Murray Klamkin’s Olympiad Corners—1980
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Morsel 11. An Unlikely Perfect Square
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Morsel 12. An Unlikely Symmetry
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Morsel 13. Two Famous Diophantine Equations
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Morsel 14. Brianchon and Ceva
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Morsel 15. Playing on a Polynomial
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Morsel 16. Overlapping Quadrants
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Morsel 17. The Circle and the Annulus
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Gleanings from Murray Klamkin’s Olympiad Corners—1981
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Morsel 18. On a Balanced Incomplete Block Design
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Morsel 19. The Red and White Balls
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Morsel 20. A Prime Number Generator
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Morsel 21. Neuberg’s Theorem
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Morsel 22. A Geometric Calculation
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Morsel 23. On Cubic Curves
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Morsel 24. An Olympiad Practice Problem
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Gleanings from Murray Klamkin’s Olympiad Corners—1982
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Morsel 25. A Quadruple of Consecutive Integers
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Morsel 26. A Box-Packing Problem
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Morsel 27. An Awkward Integral
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Morsel 28. A Matter of Perspective
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Morsel 29. Sequences of Nested Radicals
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Morsel 30. Equations of Factorials
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Gleanings from Murray Klamkin’s Olympiad Corners—1983
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Morsel 31. An Oft-Neglected Form
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Morsel 32. A Theorem of Léon Anne
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Morsel 33. Special Pairs of Positive Integers
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Morsel 34. An Intriguing Sequence
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Morsel 35. That Number Again
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Morsel 36. A Rational Function
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Morsel 37. An Unexpected Bijection
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Morsel 38. An Unruly Sum
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Gleanings from Murray Klamkin’s Olympiad Corners—1984
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Morsel 39. An Interesting Inequality
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Morsel 40. A Series of Reciprocals
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Morsel 41. On the Least Commmon Multiple
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Morsel 42. A Family of Equations
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Gleanings from Murray Klamkin’s Olympiad Corners—1985
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Morsel 43. Diophantine Reciprocals
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Morsel 44. Another Series of Reciprocals
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Morsel 45. An Illegible Multiple-Choice Problem
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Morsel 46. On the Partition Function $p(n)$
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Gleanings from Murray Klamkin’s Olympiad Corners—1986
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Morsel 47. Proof by Interpretation
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Morsel 48. On $\sigma (n)$ and $\tau (n)$
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Morsel 49. A Surprising Result About Tiling a Rectangle
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Morsel 50. An Amazing Locus
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Morsel 51. Moessner’s Theorem
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Morsel 52. Counting Triangles
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Morsel 53. A Geometric Minimum
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Morsel 54. The Probabilistic Method
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Morsel 55. An Applicaton of Generating Functions
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Morsel 56. On Rat-Free Sets
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Morsel 57. A Further Note on Old Morsel 23
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Reviews
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Ross Honsberger shows how powerful problem-solving 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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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
Another collection of problems from best-selling 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 Box-Packing 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 Oft-Neglected 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 Multiple-Choice 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 Rat-Free Sets
-
Morsel 57. A Further Note on Old Morsel 23
-
Ross Honsberger shows how powerful problem-solving 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