Singularities, Bifurcations and Catastrophes

Singularities, Bifurcations and Catastrophes
James Montaldi
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NZ$ 91.95
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Paperback
Not defined - 350pg
31 Jul 2021 UK
International import eta 7-19 days
9781316606216
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9781107151642 UK Hardback $129.56

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.
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).
Status: No local stock, title imported to order
ISBN-13: 9781316606216
Published: 31 Jul 2021
Published In: United Kingdom
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Format: Paperback
Pages: 350

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