ENGLISH

Singularities, Bifurcations and Catastrophes

By James Montaldi

Book information

Publisher
Cambridge University Press
Year
2021
ISBN
9781107151642, 9781316585085, 9781316606216
DOI
10.1017/9781316585085
Language
english
Format
PDF
Filesize
9 MB (8930131 bytes)
Edition
1
Pages
430\450
Orientation
yes
Paginated
yes
Scanned
portrait
Time added
2024-02-11 13:49:07
Bifurcation theorycatastrophe theorysingularity theory

Description

Suitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the well-developed approach to singularity theory through right-equivalence. The text proceeds with contact equivalence of map-germs and finally presents the path formulation of bifurcation theory. This formulation, developed partly by the author, is more general and more flexible than the original one dating from the 1980s. A series of appendices discuss standard background material, such as calculus of several variables, existence and uniqueness theorems for ODEs, and some basic material on rings and modules. Based on the author's own teaching experience, the book contains numerous examples and illustrations. The wealth of end-of-chapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are provided.

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