Translated by David Kramer
Softcover ISBN:  9780821843482 
Product Code:  MBK/53 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
eBook ISBN:  9781470424848 
Product Code:  MBK/53.E 
List Price:  $39.00 
MAA Member Price:  $35.10 
AMS Member Price:  $31.20 
Softcover ISBN:  9780821843482 
eBook: ISBN:  9781470424848 
Product Code:  MBK/53.B 
List Price:  $84.00 $64.50 
MAA Member Price:  $75.60 $58.05 
AMS Member Price:  $67.20 $51.60 
Translated by David Kramer
Softcover ISBN:  9780821843482 
Product Code:  MBK/53 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
eBook ISBN:  9781470424848 
Product Code:  MBK/53.E 
List Price:  $39.00 
MAA Member Price:  $35.10 
AMS Member Price:  $31.20 
Softcover ISBN:  9780821843482 
eBook ISBN:  9781470424848 
Product Code:  MBK/53.B 
List Price:  $84.00 $64.50 
MAA Member Price:  $75.60 $58.05 
AMS Member Price:  $67.20 $51.60 

Book Details2008; 380 ppMSC: Primary 00
How much math can you cover in five minutes? Quite a bit, if you have a good guide. In this collection of one hundred short essays, Ehrhard Behrends offers a tour through contemporary and everyday mathematics. The topics range from pure mathematics to applications of mathematics to observations about the mathematics that surrounds us in daily life. Here, we read about the parable of grains of rice on a chessboard, the mathematics of the lottery, music and mathematics, intriguing paradoxes, the concept of infinity, the Poincaré conjecture, quantum computers, and plenty more.
Anyone who regularly reads the science section of a newspaper or magazine will find much to enjoy in FiveMinute Mathematics. Behrends makes very few assumptions about his readers, other than general curiosity and some familiarity with high school mathematics.
The vignettes originally appeared in the author's newspaper column. They have been extensively revised and expanded, and provided with attractive illustrations and photographs.
ReadershipUndergraduates, graduate students, and research mathematicians interested in general topics in mathematics; the mathematics of everyday life.
This item is also available as part of a set: 
Table of Contents

Chapters

Chapter 1. You can’t beat the odds

Chapter 2. Magical mathematics: The integers

Chapter 3. How old is the captain?

Chapter 4. Vertiginously large prime numbers

Chapter 5. Loss plus loss equals win

Chapter 6. When it comes to large numbers, intuition fails

Chapter 7. The key for encryption is the telephone book

Chapter 8. The village barber who shaves himself

Chapter 9. Quit while you’re ahead?

Chapter 10. Can a monkey create great literature?

Chapter 11. The birthday paradox

Chapter 12. Horror vacui

Chapter 13. Sufficient difficulties with the logic of mathematics are in fact a necessity

Chapter 14. To change or not to change? The Monty Hall problem

Chapter 15. In Hilbert’s Hotel there is always a vacancy

Chapter 16. That fascinating number pi

Chapter 17. How random events become calculable quantities

Chapter 18. A onemilliondollar prize: How are the prime numbers distributed?

Chapter 19. The fivedimensional cake

Chapter 20. One night stand

Chapter 21. Fly me to the Moon

Chapter 22. Using residues

Chapter 23. Top secret!

Chapter 24. Magical mathematics: Order amidst chaos

Chapter 25. How does one approach genius?

Chapter 26. On semitones and twelfth roots

Chapter 27. Why am I always standing in the wrong line?

Chapter 28. Zero: An undeservedly underrated number

Chapter 29. I love to count!

Chapter 30. Genius autodidact: The Indian mathematician Ramanujan

Chapter 31. I hate mathematics because...

Chapter 32. The traveling salesman: A modern odyssey

Chapter 33. Squaring the circle

Chapter 34. A step into the infinite

Chapter 35. Mathematics in your CD player

Chapter 36. The logarithm: A dying breed

Chapter 37. Prizeworthy mathematics

Chapter 38. Why axioms of all things?

Chapter 39. Proof by computer?

Chapter 40. The lottery: The small prizes

Chapter 41. Formulas = concentrated thought

Chapter 42. Endless growth

Chapter 43. How do quanta compute?

Chapter 44. Extremes!

Chapter 45. Infinitely small?

Chapter 46. Mathematical observations at the fire department

Chapter 47. The first mathematical proof is 2,500 years old

Chapter 48. There is transcendence in mathematics, though it has nothing to do with mysticism

Chapter 49. Is every even number the sum of two primes?

Chapter 50. Why we invert conditional probabilities incorrectly

Chapter 51. Millionaire or billionaire?

Chapter 52. Mathematics and chess

Chapter 53. “The book of nature is written in the language of mathematics”

Chapter 54. The search for Mersenne primes

Chapter 55. Berlin, eighteenth century: A beatuful formula is discovered

Chapter 56. The first really complicated number

Chapter 57. P = NP: In mathematics, is luck sometimes unnecessary?

Chapter 58. Happy 32nd birthday!

Chapter 59. Buffon’s needle

Chapter 60. Running hot and cold: Controlled cooling solves optimization problems

Chapter 61. Who didn’t pay?

Chapter 62. What can statistics tell us?

Chapter 63. Arbitrage

Chapter 64. Farewell to risk: Options

Chapter 65. Is mathematics a reflection of the world?

Chapter 66. Mathematics that you can hear

Chapter 67. Chance as composer

Chapter 68. Do dice have a guilty conscience?

Chapter 69. Strawberry ice cream can kill you!

Chapter 70. Prosperity for all

Chapter 71. No risk, thank you!

Chapter 72. A Nobel Prize in mathematics?

Chapter 73. Chance as reckoner: Monte Carlo methods

Chapter 74. Fuzzy logic

Chapter 75. Secret messages in the Bible?

Chapter 76. How knotted can a knot be?

Chapter 77. How much mathematics does a person need?

Chapter 78. Big, bigger, biggest

Chapter 79. It is probably correct

Chapter 80. Is the world a crooked place?

Chapter 81. Is there a mathematical bureau of standards?

Chapter 82. The butterfly that fluttered by

Chapter 83. Guaranteed to make you rich

Chapter 84. Don’t trust anyone over thirty

Chapter 85. Equality in mathematics

Chapter 86. Magical invariants

Chapter 87. Mathematics goes to the movies

Chapter 88. The lazy eight: Infinity

Chapter 89. Books need bigger margins!

Chapter 90. Visualizing internal organs with mathematics

Chapter 91. A brain in the computer

Chapter 92. Cogito, ergo sum

Chapter 93. Does the world have a hole?

Chapter 94. Complex numbers are not so complex as their name suggests

Chapter 95. M. C. Escher and infinity

Chapter 96. A one at the beginning is much more likely than a two

Chapter 97. The Leipzig town hall and the sunflower

Chapter 98. Information optimally packaged

Chapter 99. Four colors suffice!

Chapter 100. Mathematics makes billionaires


Additional Material

Reviews

This book, a breath of fresh air, makes mathematics a delight and fun for almost any reader. ... I highly recommend this book for any teacher looking for a way to get students interested in mathematics—again or for the first time.
Joyce Fischer, for NCTM's "Mathematics Teacher" 
The book has remarkable breadth. It covers probability theory, number theory, the history of mathematics, finance, computer science, topology, music, famous numbers, and on and on. ... This book is sure to be enjoyed by everyone who loves mathematics. With chapters 3–5 pages long, it is the perfect book to read before bedtime, on the beach, or on the train or bus while commuting to work or school.
MAA Reviews 
The columns have been carefully revised and extra material has been added when this seemed appropriate. The columns are a delight to read. They range very widely through mathematics. He has certainly raised public awareness with these fine columns, which are clearly and engagingly written, and he does not shy away from difficult topics whenhe can find a way to explain them at an appropriate level.
LMS Newsletter 
One of the main achievements of this book, in the reviewer's opinion, is the fact that sophisticated mathematical ideas are presented in an accessible manner. The applications of mathematics are given much consideration, but the reader will also gain an appreciation for the beauty and power of the subject and the enjoyment that can be had from engaging with it. This book is aimed at the general reader and would be an excellent resource for mathematics teachers or anyone engaged in communicating mathematics to the general public.
Zentralblatt MATH


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 Book Details
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How much math can you cover in five minutes? Quite a bit, if you have a good guide. In this collection of one hundred short essays, Ehrhard Behrends offers a tour through contemporary and everyday mathematics. The topics range from pure mathematics to applications of mathematics to observations about the mathematics that surrounds us in daily life. Here, we read about the parable of grains of rice on a chessboard, the mathematics of the lottery, music and mathematics, intriguing paradoxes, the concept of infinity, the Poincaré conjecture, quantum computers, and plenty more.
Anyone who regularly reads the science section of a newspaper or magazine will find much to enjoy in FiveMinute Mathematics. Behrends makes very few assumptions about his readers, other than general curiosity and some familiarity with high school mathematics.
The vignettes originally appeared in the author's newspaper column. They have been extensively revised and expanded, and provided with attractive illustrations and photographs.
Undergraduates, graduate students, and research mathematicians interested in general topics in mathematics; the mathematics of everyday life.

Chapters

Chapter 1. You can’t beat the odds

Chapter 2. Magical mathematics: The integers

Chapter 3. How old is the captain?

Chapter 4. Vertiginously large prime numbers

Chapter 5. Loss plus loss equals win

Chapter 6. When it comes to large numbers, intuition fails

Chapter 7. The key for encryption is the telephone book

Chapter 8. The village barber who shaves himself

Chapter 9. Quit while you’re ahead?

Chapter 10. Can a monkey create great literature?

Chapter 11. The birthday paradox

Chapter 12. Horror vacui

Chapter 13. Sufficient difficulties with the logic of mathematics are in fact a necessity

Chapter 14. To change or not to change? The Monty Hall problem

Chapter 15. In Hilbert’s Hotel there is always a vacancy

Chapter 16. That fascinating number pi

Chapter 17. How random events become calculable quantities

Chapter 18. A onemilliondollar prize: How are the prime numbers distributed?

Chapter 19. The fivedimensional cake

Chapter 20. One night stand

Chapter 21. Fly me to the Moon

Chapter 22. Using residues

Chapter 23. Top secret!

Chapter 24. Magical mathematics: Order amidst chaos

Chapter 25. How does one approach genius?

Chapter 26. On semitones and twelfth roots

Chapter 27. Why am I always standing in the wrong line?

Chapter 28. Zero: An undeservedly underrated number

Chapter 29. I love to count!

Chapter 30. Genius autodidact: The Indian mathematician Ramanujan

Chapter 31. I hate mathematics because...

Chapter 32. The traveling salesman: A modern odyssey

Chapter 33. Squaring the circle

Chapter 34. A step into the infinite

Chapter 35. Mathematics in your CD player

Chapter 36. The logarithm: A dying breed

Chapter 37. Prizeworthy mathematics

Chapter 38. Why axioms of all things?

Chapter 39. Proof by computer?

Chapter 40. The lottery: The small prizes

Chapter 41. Formulas = concentrated thought

Chapter 42. Endless growth

Chapter 43. How do quanta compute?

Chapter 44. Extremes!

Chapter 45. Infinitely small?

Chapter 46. Mathematical observations at the fire department

Chapter 47. The first mathematical proof is 2,500 years old

Chapter 48. There is transcendence in mathematics, though it has nothing to do with mysticism

Chapter 49. Is every even number the sum of two primes?

Chapter 50. Why we invert conditional probabilities incorrectly

Chapter 51. Millionaire or billionaire?

Chapter 52. Mathematics and chess

Chapter 53. “The book of nature is written in the language of mathematics”

Chapter 54. The search for Mersenne primes

Chapter 55. Berlin, eighteenth century: A beatuful formula is discovered

Chapter 56. The first really complicated number

Chapter 57. P = NP: In mathematics, is luck sometimes unnecessary?

Chapter 58. Happy 32nd birthday!

Chapter 59. Buffon’s needle

Chapter 60. Running hot and cold: Controlled cooling solves optimization problems

Chapter 61. Who didn’t pay?

Chapter 62. What can statistics tell us?

Chapter 63. Arbitrage

Chapter 64. Farewell to risk: Options

Chapter 65. Is mathematics a reflection of the world?

Chapter 66. Mathematics that you can hear

Chapter 67. Chance as composer

Chapter 68. Do dice have a guilty conscience?

Chapter 69. Strawberry ice cream can kill you!

Chapter 70. Prosperity for all

Chapter 71. No risk, thank you!

Chapter 72. A Nobel Prize in mathematics?

Chapter 73. Chance as reckoner: Monte Carlo methods

Chapter 74. Fuzzy logic

Chapter 75. Secret messages in the Bible?

Chapter 76. How knotted can a knot be?

Chapter 77. How much mathematics does a person need?

Chapter 78. Big, bigger, biggest

Chapter 79. It is probably correct

Chapter 80. Is the world a crooked place?

Chapter 81. Is there a mathematical bureau of standards?

Chapter 82. The butterfly that fluttered by

Chapter 83. Guaranteed to make you rich

Chapter 84. Don’t trust anyone over thirty

Chapter 85. Equality in mathematics

Chapter 86. Magical invariants

Chapter 87. Mathematics goes to the movies

Chapter 88. The lazy eight: Infinity

Chapter 89. Books need bigger margins!

Chapter 90. Visualizing internal organs with mathematics

Chapter 91. A brain in the computer

Chapter 92. Cogito, ergo sum

Chapter 93. Does the world have a hole?

Chapter 94. Complex numbers are not so complex as their name suggests

Chapter 95. M. C. Escher and infinity

Chapter 96. A one at the beginning is much more likely than a two

Chapter 97. The Leipzig town hall and the sunflower

Chapter 98. Information optimally packaged

Chapter 99. Four colors suffice!

Chapter 100. Mathematics makes billionaires

This book, a breath of fresh air, makes mathematics a delight and fun for almost any reader. ... I highly recommend this book for any teacher looking for a way to get students interested in mathematics—again or for the first time.
Joyce Fischer, for NCTM's "Mathematics Teacher" 
The book has remarkable breadth. It covers probability theory, number theory, the history of mathematics, finance, computer science, topology, music, famous numbers, and on and on. ... This book is sure to be enjoyed by everyone who loves mathematics. With chapters 3–5 pages long, it is the perfect book to read before bedtime, on the beach, or on the train or bus while commuting to work or school.
MAA Reviews 
The columns have been carefully revised and extra material has been added when this seemed appropriate. The columns are a delight to read. They range very widely through mathematics. He has certainly raised public awareness with these fine columns, which are clearly and engagingly written, and he does not shy away from difficult topics whenhe can find a way to explain them at an appropriate level.
LMS Newsletter 
One of the main achievements of this book, in the reviewer's opinion, is the fact that sophisticated mathematical ideas are presented in an accessible manner. The applications of mathematics are given much consideration, but the reader will also gain an appreciation for the beauty and power of the subject and the enjoyment that can be had from engaging with it. This book is aimed at the general reader and would be an excellent resource for mathematics teachers or anyone engaged in communicating mathematics to the general public.
Zentralblatt MATH