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The Resource Elements of mathematics : from Euclid to Gödel, John Stillwell

Elements of mathematics : from Euclid to Gödel, John Stillwell

Label
Elements of mathematics : from Euclid to Gödel
Title
Elements of mathematics
Title remainder
from Euclid to Gödel
Statement of responsibility
John Stillwell
Creator
Author
Subject
Language
eng
Summary
"Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become'elementary.'Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits.From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of'reverse mathematics'confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries"--Publisher's description
Cataloging source
N$T
http://library.link/vocab/creatorName
Stillwell, John
Dewey number
510.71/1
Illustrations
illustrations
Index
index present
LC call number
QA11.2
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics
  • MATHEMATICS / Essays
  • MATHEMATICS / Pre-Calculus
  • MATHEMATICS / Reference
Label
Elements of mathematics : from Euclid to Gödel, John Stillwell
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Elementary topics -- Arithmetic -- Computation -- Algebra -- Geometry -- Calculus -- Combinatorics -- Probability -- Logic -- Some advanced mathematics
Control code
946359807
Extent
1 online resource (xiv, 422 pages)
Form of item
online
Isbn
9781400880560
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1515/9781400880560
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
4336787
Specific material designation
remote
System control number
(OCoLC)946359807
Label
Elements of mathematics : from Euclid to Gödel, John Stillwell
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Elementary topics -- Arithmetic -- Computation -- Algebra -- Geometry -- Calculus -- Combinatorics -- Probability -- Logic -- Some advanced mathematics
Control code
946359807
Extent
1 online resource (xiv, 422 pages)
Form of item
online
Isbn
9781400880560
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1515/9781400880560
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
4336787
Specific material designation
remote
System control number
(OCoLC)946359807

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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