Singularities of Functions, Wave Fronts, Caustics, and Multidimensional Integrals

Singularities of Functions, Wave Fronts, Caustics, and Multidimensional Integrals

£ 35.00

V. I. Arnold, a. N. Varchenko, A.B. Givental and A. G. Khovanskii

This classic survey paper is an introduction to some difficult contemporary fields of study in mathematics known under the rubric Catastrophe Theory, which encompasses the theory, which encompasses the theory of ‘typical’ singularities of functions and mappings

2012     Pbk     ISBN: 978-1-9048668-98-9     120pp

Description

The authors discuss the basic ideas, concepts and methods of the theory of singularities and the survey is presented in three sections:

  1. Section 1: Singularities of Functions, Caustics and Wave Fronts
  2. Section 2: Integrals of the Stationary Phase Method
  3. Section 3: The Geometry of Formulas

The survey provides a useful source of reference for students, postgraduates and researchers in these areas of mathematics

 

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