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Singularities of Differentiable Maps - Volume I: The Classification of Critical Points Caustics and Wave Fronts (Paperback, Softcover reprint of the original 1st ed. 1985)
Loot Price: R1,589
Discovery Miles 15 890
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Singularities of Differentiable Maps - Volume I: The Classification of Critical Points Caustics and Wave Fronts (Paperback, Softcover reprint of the original 1st ed. 1985)
Series: Monographs in Mathematics, 82
Expected to ship within 10 - 15 working days
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... there is nothing so enthralling, so grandiose, nothing that
stuns or captivates the human soul quite so much as a first course
in a science. After the first five or six lectures one already
holds the brightest hopes, already sees oneself as a seeker after
truth. I too have wholeheartedly pursued science passionately, as
one would a beloved woman. I was a slave, and sought no other sun
in my life. Day and night I crammed myself, bending my back,
ruining myself over my books; I wept when I beheld others
exploiting science fot personal gain. But I was not long
enthralled. The truth is every science has a beginning, but never
an end - they go on for ever like periodic fractions. Zoology, for
example, has discovered thirty-five thousand forms of life ... A.
P. Chekhov. "On the road" In this book a start is made to the
"zoology" of the singularities of differentiable maps. This theory
is a young branch of analysis which currently occupies a central
place in mathematics; it is the crossroads of paths leading from
very abstract corners of mathematics (such as algebraic and
differential geometry and topology, Lie groups and algebras,
complex manifolds, commutative algebra and the like) to the most
applied areas (such as differential equations and dynamical
systems, optimal control, the theory of bifurcations and
catastrophes, short-wave and saddle-point asymptotics and
geometrical and wave optics).
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