skip to content
Arithmetic. Preview this item
ClosePreview this item
Checking...

Arithmetic.

Author: Paul Lockhart
Publisher: Cambridge : Harvard University Press 2017.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Because evolution endowed humans with a complement of ten fingers, a grouping size of ten seems natural to us, perhaps even ideal. But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Paul Lockhart
ISBN: 9780674972230 0674972236
OCLC Number: 1003196707
Description: 272 pages
Responsibility: Paul Lockhart.

Abstract:

Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this  Read more...

Reviews

Editorial reviews

Publisher Synopsis

More than just an informative survey of the fundamentals of basic arithmetic, this fun book offers a philosophical take on number systems and revels in the beauty of math. * Science News * Beginning Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity<\/h3>
<http:\/\/www.worldcat.org\/oclc\/1003196707<\/a>> # Arithmetic.<\/span>\u00A0\u00A0\u00A0\u00A0a schema:CreativeWork<\/a>, schema:Book<\/a> ;\u00A0\u00A0\u00A0library:oclcnum<\/a> \"1003196707<\/span>\" ;\u00A0\u00A0\u00A0library:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Place\/cambridge<\/a>> ; # Cambridge<\/span>\u00A0\u00A0\u00A0library:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/xxu<\/a>> ;\u00A0\u00A0\u00A0schema:about<\/a> <http:\/\/dewey.info\/class\/509\/<\/a>> ;\u00A0\u00A0\u00A0schema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0schema:creator<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Person\/lockhart_paul<\/a>> ; # Paul Lockhart<\/span>\u00A0\u00A0\u00A0schema:datePublished<\/a> \"2017<\/span>\" ;\u00A0\u00A0\u00A0schema:description<\/a> \"Because evolution endowed humans with a complement of ten fingers, a grouping size of ten seems natural to us, perhaps even ideal. But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each. A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0schema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/4025696393<\/a>> ;\u00A0\u00A0\u00A0schema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0schema:name<\/a> \"Arithmetic.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0schema:productID<\/a> \"1003196707<\/span>\" ;\u00A0\u00A0\u00A0schema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/1003196707#PublicationEvent\/cambridge_harvard_university_press2017<\/a>> ;\u00A0\u00A0\u00A0schema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Agent\/harvard_university_press<\/a>> ; # Harvard University Press<\/span>\u00A0\u00A0\u00A0schema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780674972230<\/a>> ;\u00A0\u00A0\u00A0wdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/1003196707<\/a>> ;\u00A0\u00A0\u00A0\u00A0.<\/div>

Related Entities<\/h3>
<http:\/\/dewey.info\/class\/509\/<\/a>>\u00A0\u00A0\u00A0\u00A0a schema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Agent\/harvard_university_press<\/a>> # Harvard University Press<\/span>\u00A0\u00A0\u00A0\u00A0a bgn:Agent<\/a> ;\u00A0\u00A0\u00A0schema:name<\/a> \"Harvard University Press<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Person\/lockhart_paul<\/a>> # Paul Lockhart<\/span>\u00A0\u00A0\u00A0\u00A0a schema:Person<\/a> ;\u00A0\u00A0\u00A0schema:familyName<\/a> \"Lockhart<\/span>\" ;\u00A0\u00A0\u00A0schema:givenName<\/a> \"Paul<\/span>\" ;\u00A0\u00A0\u00A0schema:name<\/a> \"Paul Lockhart<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Place\/cambridge<\/a>> # Cambridge<\/span>\u00A0\u00A0\u00A0\u00A0a schema:Place<\/a> ;\u00A0\u00A0\u00A0schema:name<\/a> \"Cambridge<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/id.loc.gov\/vocabulary\/countries\/xxu<\/a>>\u00A0\u00A0\u00A0\u00A0a schema:Place<\/a> ;\u00A0\u00A0\u00A0dcterms:identifier<\/a> \"xxu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/worldcat.org\/isbn\/9780674972230<\/a>>\u00A0\u00A0\u00A0\u00A0a schema:ProductModel<\/a> ;\u00A0\u00A0\u00A0schema:isbn<\/a> \"0674972236<\/span>\" ;\u00A0\u00A0\u00A0schema:isbn<\/a> \"9780674972230<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/www.worldcat.org\/title\/-\/oclc\/1003196707<\/a>>\u00A0\u00A0\u00A0\u00A0a genont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0schema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/1003196707<\/a>> ; # Arithmetic.<\/span>\u00A0\u00A0\u00A0schema:dateModified<\/a> \"2018-11-10<\/span>\" ;\u00A0\u00A0\u00A0void:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/www.worldcat.org\/title\/-\/oclc\/1003196707#PublicationEvent\/cambridge_harvard_university_press2017<\/a>>\u00A0\u00A0\u00A0\u00A0a schema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0schema:location<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Place\/cambridge<\/a>> ; # Cambridge<\/span>\u00A0\u00A0\u00A0schema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4025696393#Agent\/harvard_university_press<\/a>> ; # Harvard University Press<\/span>\u00A0\u00A0\u00A0schema:startDate<\/a> \"2017<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>

Content-negotiable representations<\/p>