The Resource 100 great problems of elementary mathematics: : their history and solution, (ebook)

100 great problems of elementary mathematics: : their history and solution, (ebook)

Label
100 great problems of elementary mathematics: : their history and solution
Title
100 great problems of elementary mathematics:
Title remainder
their history and solution
Creator
Contributor
Translator
Subject
Genre
Language
eng
Summary
This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history - Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others - but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book. The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal. Some of the most celebrated and intriguing items are: Archimedes' "Problema Bovinum," Euler's problem of polygon division, Omar Khayyam's binomial expansion, the Euler number, Newton's exponential series, the sine and cosine series, Mercator's logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes' determination of pi, Pascal's hexagon theorem, Desargues' involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert's comet problem, and Steiner's ellipse, circle, and sphere problems. This translation, prepared especially for Dover by David Antin, brings Dr̦rie's "Triumph der Mathematik" to the English-language audience for the first time
Member of
Cataloging source
Midwest
http://library.link/vocab/creatorDate
1873-
http://library.link/vocab/creatorName
Dörrie, Heinrich
Dewey number
510.76
Index
no index present
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Antin, David
  • hoopla digital
Series statement
Dover books on elementary and intermediate mathematics
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical recreations
Target audience
adult
Label
100 great problems of elementary mathematics: : their history and solution, (ebook)
Link
Instantiates
Publication
Color
multicolored
Dimensions
unknown
Extent
1 online resource
Form of item
  • online
  • electronic
Governing access note
Digital content provided by hoopla
Isbn
9780486318479
Isbn Type
(electronic bk.)
Publisher number
MWT11606570
Specific material designation
remote
Stock number
11606570
System control number
MWT11606570
System details
Mode of access: World Wide Web
Label
100 great problems of elementary mathematics: : their history and solution, (ebook)
Link
Publication
Color
multicolored
Dimensions
unknown
Extent
1 online resource
Form of item
  • online
  • electronic
Governing access note
Digital content provided by hoopla
Isbn
9780486318479
Isbn Type
(electronic bk.)
Publisher number
MWT11606570
Specific material designation
remote
Stock number
11606570
System control number
MWT11606570
System details
Mode of access: World Wide Web

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