Description 
1 online resource 
Contents 
What's it all about?  Families of functions  The ring of germs of smooth functions  Right equivalence  Finite determinacy  Classification of the elementary catastrophes  Unfoldings & catastrophes  Singularities of plane curves  Even functions  Families of maps and bifurcations  Contact equivalence  Tangent spaces  Classification for contact equivalence  Contact equivalence and unfoldings  Geometric applications  Preparation theorem  Leftright equivalence  Bifurcation problems and paths  Vector fields tangent to a variety  Kvequivalence  Classification of paths  Loose ends  Constrained bifurcation problems 
Summary 
"Suitable for advanced undergraduates, postgraduates and researchers, this selfcontained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the welldeveloped approach to singularity theory through rightequivalence. The text proceeds with contact equivalence of mapgerms 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 endofchapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are provided" Provided by publisher 
Bibliography 
Includes bibliographical references and index 
Notes 
Description based on print version record and CIP data provided by publisher; resource not viewed 
Subject 
Singularities (Mathematics)  Textbooks


Bifurcation theory  Textbooks


Catastrophes (Mathematics)  Textbooks


MATHEMATICS / Topology.


Bifurcation theory.


Catastrophes (Mathematics)


Singularities (Mathematics)

Genre/Form 
Textbooks.

Form 
Electronic book

LC no. 
2021024709 
ISBN 
9781107151642 

1107151643 
