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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