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Mathematical Morsels
MAA Press: An Imprint of the American Mathematical Society
| eBook ISBN: | 978-1-4704-5715-0 |
| Product Code: | DOL/3.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
Click above image for expanded view
Mathematical Morsels
MAA Press: An Imprint of the American Mathematical Society
| eBook ISBN: | 978-1-4704-5715-0 |
| Product Code: | DOL/3.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 3; 1979; 262 pp
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Table of Contents
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Articles
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Problem 1. The Chess Tournament
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Problem 2. The Ordered Partitions of $n$
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Problem 3. Regions in a Circle
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Problem 4. The Ferry Boats
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Problem 5. The Bulging Semicircle
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Problem 6. The Chauffeur Problem
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Problem 7. The Screens in the Corner
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Problem 8. Coloring the Plane
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Problem 9. An Obvious Maximum
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Problem 10. $\mathrm {cos}\,17x=f(\mathrm {cos}\,x)$
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Problem 11. A Square in a Lattice
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Problem 12. An Opaque Square
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Problem 13. $\times $’s and $\bigcirc $’s
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Problem 14. A Surprising Property of Right-Angled Triangles
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Problem 15. The Digits of $4444^{4444}$
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Problem 16. $\sigma (n)+\varphi (n)=n\cdot d(n)$
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Problem 17. On $k$-Clouds
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Problem 18. A Minimal Sum
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Problem 19. The Last Three Digits of $7^{9999}$
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Problem 20. Rolling a Die
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Problem 21. Piercing a Cube
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Problem 22. Double Sequences
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Problem 23. Point-Splitting Circles
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Problem 24. On the Lengths of the Sides of a Triangle
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Problem 25. No Calculus Please
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Problem 26. $a^b$ and $b^a$
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Problem 27. A Mathematical Joke
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Problem 28. Maps on a Sphere
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Problem 29. Convex Regions in the Plane
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Problem 30. Simultaneous Diophantine Equations
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Problem 31. A Reflected Tangent
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Problem 32. The Elegantly Destroyed Checkerboard
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Problem 33. The Snowballs
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Problem 34. Writing the Numbers from One to a Billion
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Problem 35. Abutting, Nonoverlapping Unit Squares
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Problem 36. A Diophantine Equation
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Problem 37. The Fibonacci Sequence
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Problem 38. An Erdös Inequality
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Problem 39. Sharing Lattice Points
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Problem 40. Perfect Numbers
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Problem 41. The Sides of a Quadrilateral
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Problem 42. Primes in Arithmetic Progression
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Problem 43. On Cevians
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Problem 44. The Cows and the Sheep
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Problem 45. A Sequence of Squares
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Problem 46. The Inscribed Decagon
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Problem 47. Red and Blue Dots
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Problem 48. Swale’s Method
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Problem 49. On $\pi (n)$
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Problem 50. A Constant Chord
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Problem 51. The Number of Inner Diagonals
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Problem 52. Loading the Dice
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Problem 53. A Curious Sequence
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Problem 54. Long Strings of Consecutive Natural Numbers
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Problem 55. A Minimal Inscribed Quadrilateral
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Problem 56. Triangular Numbers
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Problem 57. On a Regular $n$-gon
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Problem 58. The Fermat Numbers
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Problem 59. An Inequality of Reciprocals
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Problem 60. A Perfect 4th Power
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Problem 61. Packing Squares
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Problem 62. Red and Green Balls
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Problem 63. Composite Terms in Arithmetic Progression
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Problem 64. Abutting Equilateral Triangles
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Problem 65. The Tests
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Problem 66. An Application of Ptolemy’s Theorem
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Problem 67. Another Diophantine Equation
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Problem 68. An Unusual Property of Complex Numbers
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Problem 69. A Chain of Circles
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Problem 70. Repeated Digits at the End of a Square
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Problem 71. An Angle Bisector
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Problem 72. A System of Inequalities
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Problem 73. An Unexpected Property of a Regular 26-gon
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Problem 74. More on Perfect Squares
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Problem 75. An Unusual Polynomial
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Problem 76. Cyclic Centroids
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Problem 77. An Easy Remainder
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Problem 78. A Curious Property of 3
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Problem 79. A Square Within a Square
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Problem 80. Always a Square
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Problem 81. Grouping the Natural Numbers
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Problem 82. Triangles with Sides in Arithmetic Progression
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Problem 83. Fractions by Permutation
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Problem 84. On Binomial Coefficients
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Problem 85. The Fermat Number $F_{73}$
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Problem 86. A Cyclic Quadrilateral
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Problem 87. Special Triples of Natural Numbers
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Problem 88. The Sums of the Primes
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Problem 89. Another Curious Sequence
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Problem 90. The Ellipse and the Lattice
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Problem 91. Archimedes Triangles
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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
- Requests
-
Articles
-
Problem 1. The Chess Tournament
-
Problem 2. The Ordered Partitions of $n$
-
Problem 3. Regions in a Circle
-
Problem 4. The Ferry Boats
-
Problem 5. The Bulging Semicircle
-
Problem 6. The Chauffeur Problem
-
Problem 7. The Screens in the Corner
-
Problem 8. Coloring the Plane
-
Problem 9. An Obvious Maximum
-
Problem 10. $\mathrm {cos}\,17x=f(\mathrm {cos}\,x)$
-
Problem 11. A Square in a Lattice
-
Problem 12. An Opaque Square
-
Problem 13. $\times $’s and $\bigcirc $’s
-
Problem 14. A Surprising Property of Right-Angled Triangles
-
Problem 15. The Digits of $4444^{4444}$
-
Problem 16. $\sigma (n)+\varphi (n)=n\cdot d(n)$
-
Problem 17. On $k$-Clouds
-
Problem 18. A Minimal Sum
-
Problem 19. The Last Three Digits of $7^{9999}$
-
Problem 20. Rolling a Die
-
Problem 21. Piercing a Cube
-
Problem 22. Double Sequences
-
Problem 23. Point-Splitting Circles
-
Problem 24. On the Lengths of the Sides of a Triangle
-
Problem 25. No Calculus Please
-
Problem 26. $a^b$ and $b^a$
-
Problem 27. A Mathematical Joke
-
Problem 28. Maps on a Sphere
-
Problem 29. Convex Regions in the Plane
-
Problem 30. Simultaneous Diophantine Equations
-
Problem 31. A Reflected Tangent
-
Problem 32. The Elegantly Destroyed Checkerboard
-
Problem 33. The Snowballs
-
Problem 34. Writing the Numbers from One to a Billion
-
Problem 35. Abutting, Nonoverlapping Unit Squares
-
Problem 36. A Diophantine Equation
-
Problem 37. The Fibonacci Sequence
-
Problem 38. An Erdös Inequality
-
Problem 39. Sharing Lattice Points
-
Problem 40. Perfect Numbers
-
Problem 41. The Sides of a Quadrilateral
-
Problem 42. Primes in Arithmetic Progression
-
Problem 43. On Cevians
-
Problem 44. The Cows and the Sheep
-
Problem 45. A Sequence of Squares
-
Problem 46. The Inscribed Decagon
-
Problem 47. Red and Blue Dots
-
Problem 48. Swale’s Method
-
Problem 49. On $\pi (n)$
-
Problem 50. A Constant Chord
-
Problem 51. The Number of Inner Diagonals
-
Problem 52. Loading the Dice
-
Problem 53. A Curious Sequence
-
Problem 54. Long Strings of Consecutive Natural Numbers
-
Problem 55. A Minimal Inscribed Quadrilateral
-
Problem 56. Triangular Numbers
-
Problem 57. On a Regular $n$-gon
-
Problem 58. The Fermat Numbers
-
Problem 59. An Inequality of Reciprocals
-
Problem 60. A Perfect 4th Power
-
Problem 61. Packing Squares
-
Problem 62. Red and Green Balls
-
Problem 63. Composite Terms in Arithmetic Progression
-
Problem 64. Abutting Equilateral Triangles
-
Problem 65. The Tests
-
Problem 66. An Application of Ptolemy’s Theorem
-
Problem 67. Another Diophantine Equation
-
Problem 68. An Unusual Property of Complex Numbers
-
Problem 69. A Chain of Circles
-
Problem 70. Repeated Digits at the End of a Square
-
Problem 71. An Angle Bisector
-
Problem 72. A System of Inequalities
-
Problem 73. An Unexpected Property of a Regular 26-gon
-
Problem 74. More on Perfect Squares
-
Problem 75. An Unusual Polynomial
-
Problem 76. Cyclic Centroids
-
Problem 77. An Easy Remainder
-
Problem 78. A Curious Property of 3
-
Problem 79. A Square Within a Square
-
Problem 80. Always a Square
-
Problem 81. Grouping the Natural Numbers
-
Problem 82. Triangles with Sides in Arithmetic Progression
-
Problem 83. Fractions by Permutation
-
Problem 84. On Binomial Coefficients
-
Problem 85. The Fermat Number $F_{73}$
-
Problem 86. A Cyclic Quadrilateral
-
Problem 87. Special Triples of Natural Numbers
-
Problem 88. The Sums of the Primes
-
Problem 89. Another Curious Sequence
-
Problem 90. The Ellipse and the Lattice
-
Problem 91. Archimedes Triangles
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.