Diagram Techniques

Jürgen Richter-Gebert ()
Additional contact information
Jürgen Richter-Gebert: TU München, Zentrum Mathematik (M10) LS Geometrie

Chapter 13 in Perspectives on Projective Geometry, 2011, pp 227-246 from Springer

Abstract: Abstract It sometimes happens that reading a mathematical article sheds a completely new light on subjects that one considered “personally well-under stood.” So it happened to me when I did some research related to solving cubic equations and stumbled across a series of papers written by the computer scientist Jim Blinn. The series was essentially about the expressive power of tensor calculus applied to geometry [8, 9, 10, 11]. I always hated working with tensors and avoided them wherever possible, because tensor notation tends either to be very abstract or to clutter all the essential information of a formula into indices and indices of indices and indices of indices of indices. Jim Blinn’s papers were different. There tensor formulas were encoded as diagrams, and suddenly all those terrible index battles became geometrically meaningful structures.

Keywords: Quadratic Form; Transformation Rule; Geometric Object; Projective Geometry; Outgoing Edge (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-17286-1_13

Ordering information: This item can be ordered from
http://www.springer.com/9783642172861

DOI: 10.1007/978-3-642-17286-1_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().