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OverviewSuitable 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. Full Product DetailsAuthor: James Montaldi (University of Manchester)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 17.70cm , Height: 2.50cm , Length: 25.10cm Weight: 0.950kg ISBN: 9781107151642ISBN 10: 1107151643 Pages: 446 Publication Date: 24 June 2021 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviews'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 Răsvan, European Mathematical Society '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 Author InformationJames 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). Tab Content 6Author Website:Countries AvailableAll regions |
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