Introduction

Chandler Davis, Branko Grünbaum and F. A. Sherk
Additional contact information
Chandler Davis: University of Toronto, Department of Mathematics
Branko Grünbaum: University of Washington, Department of Mathematics
F. A. Sherk: University of Toronto, Department of Mathematics

A chapter in The Geometric Vein, 1981, pp 1-3 from Springer

Abstract: Abstract Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted repertory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinctive spirit.

Keywords: Extremal Problem; Geometric Method; Discrete Subgroup; Symmetry Class; Symmetry Type (search for similar items in EconPapers)
Date: 1981
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:978-1-4612-5648-9_1

Ordering information: This item can be ordered from
http://www.springer.com/9781461256489

DOI: 10.1007/978-1-4612-5648-9_1

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 ().