A Geometric Approach to Saddle Points of Surfaces
A Geometric Approach to Saddle Points of Surfaces
Sudhir R. Ghorpade and Balmohan V. Limaye
Department of Mathematics
Indian Institute of Technology Bombay
Powai, Mumbai 400076, India
E-Mail: srg@math.iitb.ac.in, bvl@math.iitb.ac.in
Abstract
We outline an alternative approach to the geometric notion of a saddle point
for real-valued functions of two variables. It is argued that this is more
natural compared to the usual treatment of this topic in standard texts on Calculus.
| 1 | Introduction | 1 |
| 2 | Definition of a Saddle Point | 2 |
| 3 | Discriminant Test | 4 |
| 3 | Examples | 6 |
| References | 9 |
This paper is published in
The Australian Mathematical Society Gazette, Vol. 36 (2009), No. 2, pp. 127-136.
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