Kernel occurs in English in 1909 in Introd. Study Integral Equations by M. B瀿her: "K is called the kernel of these equations" (OED2).
KERNEL (elements mapped into identity element) is found in English in 1946 in E. Lehmer's translation of Pontrjagin's Topological Groups (OED2).
KITE appears as a geometric term in the 1893 Funk and Wagnalls Standard Dictionary.
KLEIN BOTTLE occurs in C. Tompkins, "A flat Klein bottle isometrically embedded euclidean 4-space," Bull. Am. Math. Soc. 47, 508 (1941).
The term KRONECKER DELTA is found in 1926 in Riemannian Geometry by Luther Pfahler Eisenhard: "These are called the Kronecker deltas and are used frequently throughout this work." [Joanne M. Despres of Merriam-Webster Inc.]
KURTOSIS was used by Karl Pearson in 1905 in Biometrika IV. 181 in the phrase "the degree of kurtosis." He states therein that he has used the term previously (OED2).