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The Book of Numbers (math book)

From Wikipedia, the free encyclopedia
1996 math book by John Conway and Richard Guy
The Book of Numbers
AuthorJohn H. Conway andRichard K. Guy
LanguageEnglish
SubjectNumber theory
PublisherCopernicus Publications
Publication date
September 27, 1996
Pages310 pp.
ISBN978-0-387-97993-9

The Book of Numbers is a 1996 mathematics book byJohn H. Conway andRichard K. Guy. It discusses individual numbers, and types of number, that have proved conceptually significant. Topics include the origin of the nursery rhyme "Hickory Dickory Dock",figurate numbers, theFibonacci sequence,transcendental numbers, theMetonic cycle,combinatorics, thecomplex plane,nimbers, andsurreal numbers.[1][2][3]

The Basic Library List Committee of theMathematical Association of America has recommended that it be included in undergraduate mathematics libraries.[2]

Reception

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Andrew Bremner called the book "a delight" and opined that readers ofMartin Gardner would appreciate it.[1] A. Robert Pargeter found it "fascinating" both for systematic reading and for browsing, and he recommended that school and college libraries carry it.[4]

Sarah Gourlie called the book "organized and enlightening", while observing that some topics were considerably more demanding than others.[5] Likewise, reviewing the book for the Mathematical Association of America, Allen Stenger noted that while the book only presumed knowledge of high-schoolalgebra andtrigonometry, it also in places demanded a "high level of mathematical reasoning". Stenger expected that many readers would be unable to follow all of the explanations unaided.[2] A retrospective byEzra Brown also commented on the "more than a little sophistication" required to follow some of Conway and Guy's discussions, while finding that the authors' joy "comes through on every page".[3]

TheMacTutor History of Mathematics Archive quotes a review of this book in its biography of Conway, saying that "the publishers should have been required to post a warning label on the front cover indicating that this book contains extremely addictive material."[6]

References

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  1. ^abBremner, Andrew (1997).The American Mathematical Monthly.104 (9):884–888.doi:10.1080/00029890.1997.11990734.JSTOR 2975310.{{cite journal}}: CS1 maint: untitled periodical (link)
  2. ^abcStenger, Allen (2009-05-19)."The Book of Numbers".MAA Reviews. Mathematical Association of America. Retrieved2025-02-09.
  3. ^abBrown, Ezra (2009). "A New Testament for the Book of Numbers".Math Horizons.17 (1): 29.doi:10.1080/10724117.2009.11974841.JSTOR 25678832.
  4. ^Pargeter, A. Robert (1998).The Mathematical Gazette.82 (493):147–148.doi:10.2307/3620188.JSTOR 3620188.{{cite journal}}: CS1 maint: untitled periodical (link)
  5. ^Gourlie, Sarah (2005).Math Horizons.12 (3):26–27.doi:10.1080/10724117.2005.12021805.JSTOR 25678531.{{cite journal}}: CS1 maint: untitled periodical (link)
  6. ^O'Connor, John J.;Robertson, Edmund F."John Horton Conway".MacTutor History of Mathematics Archive.University of St Andrews.
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