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


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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