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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Singularities, Bifurcations and Catastrophes (Paperback)
Loot Price: R1,368
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Singularities, Bifurcations and Catastrophes (Paperback)
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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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