Image
EAN-139780198701309   EAN-13 barcode 9780198701309
Product NameNew Foundations For Physical Geometry: The Theory Of Linear Structures
LanguageEnglish
CategoryBook / Magazine / Publication
Amazon.comA Buy on Amazon ~ 0198701306
Price New53.50 US Dollars    (curriencies)
Price Used64.56 US Dollars    (curriencies)
Width1.2 inches    (convert)
Height6.3 inches    (convert)
Length9.3 inches    (convert)
AuthorTim Maudlin
Page Count376
BindingHardcover
Published05/15/2014
Long DescriptionTopology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. This book proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. This is the initial volume in a two-volume set, the first of which develops the mathematical structure and the second of which applies it to classical and Relativistic physics.

The book begins with a brief historical review of the development of mathematics as it relates to geometry, and an overview of standard topology. The new theory, the Theory of Linear Structures, is presented and compared to standard topology. The Theory of Linear Structures replaces the foundational notion of standard topology, the open set, with the notion of a continuous line. Axioms for the Theory of Linear Structures are laid down, and definitions of other geometrical notions developed in those terms. Various novel geometrical properties, such as a space being intrinsically directed, are defined using these resources. Applications of the theory to discrete spaces (where the standard theory of open sets gets little purchase) are particularly noted. The mathematics is developed up through homotopy theory and compactness, along with ways to represent both affine (straight line) and metrical structure.
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Created11-01-2013 1:15:35am
Modified09-02-2017 9:17:55am
MD5d638d00b835950ec37c21f0cce26829d
SHA25683af17ee0a52811d7eb85b7880dfe8a14ff1abfe8cf57bcaa50584a70efb3cfb
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Query Time0.0019469

This describes how to use version 2.x of the data feed. Version 1.x of the feed is no longer supported in any way.

Accessing the data requires your account to have an active data feed. This switch can be turned on or off on the data feed page. This is also where you will be able to view your KEYCODE which is required to make calls to the feed.

You must always pass these...

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When updating data...

To download the list of categories...

The feed return data structure...

All fieds are returned regardless of the result. Check the status code before trying to make use of any of the data returned. As long as the code you send is valid (not an error) the barcode field will hold a link to a baccode graphic. If you get a 404 error because we can't find the product, you may still get valid data in the company section so you may want to check the company name field.

status
    find     the find value you sent in your request
    code     200 = success, 404 = not found, 400 and 500 = error
    message     details about the code
    version     feed version number
product
    modified     YYYY-MM-DD HH:MM:SS (24 hour time)
    ean13     13 digit EAN-13 code
    upca     12 digit UPC-A code (may be n/a)
    upce     8 digit UPC-E code (may be n/a)
    product     the name of the product
    description     size, weight, count, color, etc.
    category_no     numeric category code
    category_text     text version of the category
    url     a link to the product page (not on our site)
    image     a link to an image of the product (on our site)
    has_long_desc     does this product have a long description (1/0)
    barcode     a link to a barcode image (on our site)
    locked     is this data locked from updates (1/0)
company
    name     company name
    logo     a link to a company logo (on our site)
    url     a link to the company's official web site
    address     the company's mailing address
    phone     the company's phone number (digits only)
    locked     is this data locked from updates (1/0)

You will need to make requests for the content of the long description in a separate call get=long_desc to the GET or POST request. In this case, you will only get back the long description. The return structure of the long description data looks like this...

status
    find     the find value you sent in your request
    code     200 = success, 404 = not found, 400 and 500 = error
    message     details about the code
    version     feed version number
product
    modified     YYYY-MM-DD HH:MM:SS (24 hour time)
    long_desc     the long description for the product
    locked     is this data locked from updates (1/0)
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