Download or read book Singularities of Functions, Wave Fronts, Caustics and Multidimensional Integrals written by Vladimir Igorevich Arnolʹd and published by . This book was released on 2012 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic paper is an introduction to some difficult contemporary fields of study in mathematics known under the rubric of Catastrophe Theory, which encompasses the theory of typical singularities of functions and mappings. The authors discuss the basic ideas, concepts and methods of the theory of singularities. The survey is presented in three sections: Section 1: Singularities of Functions, Caustics and Wave Fronts. Section 2: Integrals of the Stationary Phase Method. Section 3: The Geometry of Fomulas. The survey provides a useful source of reference for students, postgraduates and researchers in these areas of mathematics.