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.
This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.
About the Author
James Montaldi is Reader in Mathematics at University of Manchester. He has worked both in theoretical aspects of singularity theory as well as applications to dynamical systems, and co-edited the books: Geometric Mechanics and Symmetry: The Peyresq Lectures (Cambridge, 2005), Peyresq Lectures in Nonlinear Systems (2000), and Singularity Theory and its Applications Part 1 (1991).
Reviews
'This beautiful book is in fact a course which can be viewed as addressed to undergraduate and graduate students, to junior and senior researchers, to the teaching staff (faculty), and to other people interested in the field.' Vladimir Rasvan, European Mathematical Society
'This mostly self-contained and user-friendly textbook, aimed at advanced undergraduate level and above, provides a careful and accessible introduction to methods of singularity theory that underlie much of local bifurcation theory.' D. R. J. Chillingworth, MathSciNet
Book Information
ISBN 9781316606216
Author James Montaldi
Format Paperback
Page Count 448
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 860g
Dimensions(mm) 243mm * 169mm * 23mm
This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.
About the Author
James Montaldi is Reader in Mathematics at University of Manchester. He has worked both in theoretical aspects of singularity theory as well as applications to dynamical systems, and co-edited the books: Geometric Mechanics and Symmetry: The Peyresq Lectures (Cambridge, 2005), Peyresq Lectures in Nonlinear Systems (2000), and Singularity Theory and its Applications Part 1 (1991).
Reviews
'This beautiful book is in fact a course which can be viewed as addressed to undergraduate and graduate students, to junior and senior researchers, to the teaching staff (faculty), and to other people interested in the field.' Vladimir Rasvan, European Mathematical Society
'This mostly self-contained and user-friendly textbook, aimed at advanced undergraduate level and above, provides a careful and accessible introduction to methods of singularity theory that underlie much of local bifurcation theory.' D. R. J. Chillingworth, MathSciNet
Book Information
ISBN 9781316606216
Author James Montaldi
Format Paperback
Page Count 448
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 860g
Dimensions(mm) 243mm * 169mm * 23mm
