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This book contains background materials in the study of germs of C∞ and real analytic functions: the basic work on imbeddings by Whitney, the transversality theorems of Thom, the preparation theorem of Malgrange, the equivalence of stability and infinitesimal stability for C∞ fu…
This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, al…