Book contents
- Frontmatter
- Contents
- Dedication
- Foreword
- 1 Germs with constant rank
- 2 Regular values
- 3 Construction of differentiable maps
- 4 Germs and jets
- 5 The division theorem
- 6 The preparation theorem
- 7 Symmetric germs
- 8 Mappings of the plane into the plane
- 9 Boardman-Thorn singularities
- 10 The quadratic differential
- 11 Finitely determined germs
- 12 Some elementary algebraic geometry
- 13 Tougeron's theory
- 14 The universal unfolding of a singularity
- 15 The seven elementary catastrophes
- 16 Proof of the main theorem on universal unfoldings
- 17 Pictures of the seven elementary catastrophes
- Further reading – literature on catastrophe theory
- Index of symbols
- Index
6 - The preparation theorem
Published online by Cambridge University Press: 05 May 2013
- Frontmatter
- Contents
- Dedication
- Foreword
- 1 Germs with constant rank
- 2 Regular values
- 3 Construction of differentiable maps
- 4 Germs and jets
- 5 The division theorem
- 6 The preparation theorem
- 7 Symmetric germs
- 8 Mappings of the plane into the plane
- 9 Boardman-Thorn singularities
- 10 The quadratic differential
- 11 Finitely determined germs
- 12 Some elementary algebraic geometry
- 13 Tougeron's theory
- 14 The universal unfolding of a singularity
- 15 The seven elementary catastrophes
- 16 Proof of the main theorem on universal unfoldings
- 17 Pictures of the seven elementary catastrophes
- Further reading – literature on catastrophe theory
- Index of symbols
- Index
Summary
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- Differentiable Germs and Catastrophes , pp. 53 - 62Publisher: Cambridge University PressPrint publication year: 1975