The Resource Elements of mathematics : from Euclid to Gödel, John Stillwell
Elements of mathematics : from Euclid to Gödel, John Stillwell
Resource Information
The item Elements of mathematics : from Euclid to Gödel, John Stillwell represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item Elements of mathematics : from Euclid to Gödel, John Stillwell represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
 Summary
 "Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematicsbut, 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 twentyfirstcentury 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 wellknown 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
 Language
 eng
 Extent
 1 online resource (xiv, 422 pages)
 Contents

 Elementary topics
 Arithmetic
 Computation
 Algebra
 Geometry
 Calculus
 Combinatorics
 Probability
 Logic
 Some advanced mathematics
 Isbn
 9781400880560
 Label
 Elements of mathematics : from Euclid to Gödel
 Title
 Elements of mathematics
 Title remainder
 from Euclid to Gödel
 Statement of responsibility
 John Stillwell
 Language
 eng
 Summary
 "Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematicsbut, 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 twentyfirstcentury 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 wellknown 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 / PreCalculus
 MATHEMATICS / Reference
 Label
 Elements of mathematics : from Euclid to Gödel, John Stillwell
 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
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ElementsofmathematicsfromEuclidtoG%C3%B6del/oraO8KeQcbo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ElementsofmathematicsfromEuclidtoG%C3%B6del/oraO8KeQcbo/">Elements of mathematics : from Euclid to Gödel, John Stillwell</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>