The Fifteen Schoolgirls,Used

The Fifteen Schoolgirls,Used

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A famous problem found in books on mathematical recreations was first proposed in an annual in 1850 by a vicar and amateur mathematician, Thomas Kirkman. Fifteen schoolgirls walk out three abreast for seven days and it was required to arrange each day's walk so that any pair of girls were only once in the same row during the week. The puzzle arose from Kirkman's work on a more general mathematical problem which he was to explore in a number of published articles over the next few years. Much of his work was ignored at the time, but it involved various combinatorial ideas that have now become of some interest and importance. He was also interested in a range of other mathematics, such as the theory of polyhedra, the newly developing theory of groups, and the classification of knots. He was respected by many of his professionals and was elected a Fellow of the Royal Society. This book presents a brief account of the original problem and some of the ways it has been generalised and eventually solved. It also surveys in a not too technical way, some of the other work of a remarkable nineteenthcentury polymath.

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We provide a 2-year limited warranty, from the date of purchase for all our products.

If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.

This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).

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Frequently Asked Questions

  • Q: What is the main topic of 'The Fifteen Schoolgirls'? A: 'The Fifteen Schoolgirls' discusses a mathematical recreation problem proposed by Thomas Kirkman regarding arranging schoolgirls in a specific walking pattern to ensure that no pair of girls walks in the same row more than once over a week.
  • Q: Who is the author of this book? A: The book is authored by Dick Tahta, who explores the combinatorial ideas related to Kirkman's work and other mathematical theories.
  • Q: When was 'The Fifteen Schoolgirls' published? A: 'The Fifteen Schoolgirls' was published on October 25, 2006.
  • Q: What is the genre of this book? A: The book falls under the genre of History, specifically focusing on mathematical history and recreational mathematics.
  • Q: How many pages does 'The Fifteen Schoolgirls' have? A: 'The Fifteen Schoolgirls' contains a total of 120 pages.
  • Q: What type of binding does this book have? A: This book is available in a paperback binding.
  • Q: Is there any technical jargon in the book? A: The book surveys mathematical concepts in a manner that is not overly technical, making it accessible to a broader audience interested in mathematics.
  • Q: What age group is this book suitable for? A: 'The Fifteen Schoolgirls' is suitable for readers with an interest in mathematics, typically appealing to high school students, college students, and mathematics enthusiasts.
  • Q: Does this book include solutions to the problems discussed? A: The book presents an account of the original problem and generalizations but does not specifically provide solutions to those problems.
  • Q: Can I find information on other mathematical topics in this book? A: Yes, the book also surveys other work by Thomas Kirkman, including his interests in polyhedra, group theory, and knot classification.