This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu larities of stable differentiable mappings. The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n – 1) and R2 ~ R2, and Marston Morse, for mappings who studied these singularities for Rn ~ R. It was Rene Thorn who noticed (in the late ’50’s) that all of these results could be incorporated into one theory. The 1960 Bonn notes of Thom and Harold Levine (reprinted in [42]) gave the first general exposition of this theory. However, these notes preceded the work of Bernard Malgrange [23] on what is now known as the Malgrange Preparation Theorem-which allows the relatively easy computation of normal forms of stable singularities as well as the proof of the main theorem in the subject-and the definitive work of John Mather. More recently, two survey articles have appeared, by Arnold [4] and Wall [53], which have done much to codify the new material; still there is no totally accessible description of this subject for the beginning student. We hope that these notes will partially fill this gap. In writing this manuscript, we have repeatedly cribbed from the sources mentioned above-in particular, the Thom-Levine notes and the six basic papers by Mather.
Stable Mappings and Their Singularities Free Download
April 3, 2022
![Stable Mappings and Their Singularities Stable Mappings and Their Singularities](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhntfwc0PHbtMpnx48LenzzLO69X5sbm5HnnsXDIYTjLJRO2_qGhF73fnQlJv1dzrvqBbmJFRQE7_dHFCeyMqpd_OxWTkz2kG0zzwZMtgGWVMraeQ8QQYIU6Kv3cvHJhu43tqqjhwOzZbBRWTtQlTcy1dCL2KGh6fD68ZQdYSatdLs-rsclTKBWkejgIA/s320/%28Graduate%20Texts%20in%20Mathematics%2014%29%20Martin%20Golubitsky,%20Victor%20Guillemin%20%28auth.%29%20-%20Stable%20Mappings%20and%20Their%20Singularities-Springer-Verlag%20New%20York%20%281973%29.jpg)
You may also like
DISCRETE MATHEMATICS
Values and Valuing in Mathematics Education Scanning and Scoping the Territory by Philip Clarkson PDF
June 22, 2024
This engaging open access book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows...
Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone...
DISCRETE MATHEMATICS
Bird’s Higher Engineering Mathematics, 9th Edition By John Bird PDF
February 2, 2024
Higher Engineering Mathematics has helped thousands of students to succeed in their exams by developing problem-solving skills, It is supported by over 600...
Recent Posts
- Variational Principles in Physics by Jean-Louis Basdevant PDF
- Analytical Chemistry by Dhruba Charan Dash PDF
- Handbook of Modern Sensors Physics, Designs, and Applications 3rd Edition by Jacob Fraden PDF
- A Level Physics a for OCR Student Book by Jo Locke PDF
- Quarks and Leptons An Introductory Course in Modern Particle Physics by Francis Halzen PDF
Add Comment