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Morse Theory by John Milnor (1963)

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Princeton University Press book; inspected title page dates the edition 1963. Institutional scan: pagine.dm.unipi.it/~a019210/Milnor_Morse%20theory.pdf
Lemma 2.2 gives the exact smooth quadratic normal form and its completion-of-squares proof. Corollary 2.3 gives isolation of nondegenerate critical points and contrasts degenerate examples such as x cubed.

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