Dover Pub. Co.

Foundations of measurement; v.2. (reprint, 1989)

If you cannot measure it, it probably does not exist to many scientists, and this volume in the series sets out to prove that measurements at the far ranges do exist. This reprint of the Academic Press edition is unabridged and is slightly corrected, giving overviews of geometric units and threshold and error units, geometrical representations, including vector and metric representations, axiomatic geometry and applications, including affine and absolute spaces, proximity measurement, including multidimensional representations, color and force measurement, including Grassmann structures and proofs, representations with thresholds, including ordinal theory and semi-ordered additive structures and representations of choice probabilities, including ordinal representations for pair comparisons and random variable representations. (Annotation ©2007 Book News Inc. Portland, OR)

Topological vector spaces, distributions and kernels. (reprint, 1967)

Those with the original 1967 edition of this classic on their bookshelves keep their office doors locked. Tréves (mathematics, Rutgers U.) wrote this for upper-level undergraduates and early graduate students as they studied functional analysis as well as the analysis relevant to the solutions of partial differential equations, an expansion that has proved invaluable to a couple of generations of mathematicians, engineers and other scientists. Along with the astounding 390 exercises, Tréves fully topological vector spaces and spaces of function, with forays into Cauchy filters and Fréchet spaces, Hilbert spaces and partitions of unity, then moves to duality and spaces of distribution with radon measures, the continuous linear map and Sobolev spaces, then into tensor products and kernals, which includes very interesting commentary on nuclear mapping. (Annotation ©2007 Book News Inc. Portland, OR)