Image | |

EAN-13 | 9780198701309 |

Product Name | New Foundations For Physical Geometry: The Theory Of Linear Structures |

Language | English |

Category | Book / Magazine / Publication |

Amazon.com | Buy on Amazon ~ 0198701306 |

Price New | 53.50 US Dollars (curriencies) |

Price Used | 64.56 US Dollars (curriencies) |

Width | 1.2 inches (convert) |

Height | 6.3 inches (convert) |

Length | 9.3 inches (convert) |

Author | Tim Maudlin |

Page Count | 376 |

Binding | Hardcover |

Published | 05/15/2014 |

Long Description | Topology 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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Created | 11-01-2013 1:15:35am |

Modified | 09-02-2017 9:17:55am |

MD5 | d638d00b835950ec37c21f0cce26829d |

SHA256 | 83af17ee0a52811d7eb85b7880dfe8a14ff1abfe8cf57bcaa50584a70efb3cfb |

Search Google | by EAN or by Title |

Query Time | 0.0019469 |

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...

**keycode**:**16 digit code**(your app doesn't need to log in, it only needs the keycode)**mode**: json, xml or csv

When looking up data...

**find**: 8, 12 or 13 digits to search for**comp**: yes/no (optional, defaults to "yes". if "no" skip the company lookup)**pending**: yes/no (optional, defaults to "no". if "yes" pending updates may be returned)**search**: normal/deep - if this is omitted or any unexpected value, a normal search will be performed. A deep search will take longer than a normal search. Our web bots will make an effort to locate more information about the product. This only happens if we have no information on file already. This can take a couple extra seconds or up to a minute. Your app needs to be able to deal with this delay. (defaults to normal)

When updating data...

**update**: 8, 12 or 13 digits to search for**field**: The product field to update (sorry, no company updates allows)**value**: The new value (will go into a pending area until validated)

- Only products information can be updated (no company info)
- Only update one field per request
- Update may be ignored if other pending updates exist
- Error result status is returned if updating a locked product
- To upload product images, see this blog article.

To download the list of categories...

**get**: category

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) |