Amide-imide polymers formable in deep section and prepared by the condensation reaction of at least one of a diacid halide or a polyanhydride or equivalent, and a diamine containing at least one imide linkage. Soluble amide-imide polymers having the general formula: ##STR1## where n is an integer greater than 10 and preferably greater than 20. A novel amine having the general structural formula: ##STR2## wherein: A is selected from the group consisting of --R'-- and ##STR3## R is a trivalent organic radical in which the two valences included in the imide ring are attached to adjacent carbon atoms and the third valence is attached to a different carbon atom,R' is a divalent organic radical,R" is a tetravalent organic radical in which the bonds are attached to two pairs of adjacent carbon atoms, so that five or six membered imide rings are formed,a, b, c, and d are integers from 0 to 6, the sum of a, b, c, and d is an integer from 1 to 6, at least one R or R" group is included in the molecule, and the bracketed groups are in any order.Although one or more of the R, R', or R" radicals may contain one or more additional amino groups or other compatible linkages, preferably said amine contains only said terminal amino groups.