Another interest of Dr. Abraham's concerns alternative ways of expressing mathematics, for example visually or aurally. He founded the Visual Math Institute at UC Santa Cruz in 1975 (at that time it was called the Visual Mathematics Project). He has staged performances in which mathematics, visual arts and music are combined into one presentation.
Partial bibliography
Foundations of Mechanics, 2nd edn. 1978 (with J.E. Marsden)
Manifolds, Tensor Analysis, and Applications, 2nd edn. 1982 (with J.E. Marsden and T. Ratiu)
Dynamics, the Geometry of Behavior, 2nd edn. 1992 (with C.D. Shaw), transl. in Japanese
His purpose is to bring to light a significant but relatively neglected artist through meticulous analysis of his life and paintings, as well as the literary, sociological, psychological, and even religious phenomena which might have served as an inspiration.
In this comprehensive study, Abraham Davidson argues convincingly that Blakelock is one of the greatest American painters of the nineteenth century, whose art ranges from the "romantic visionary" school reminiscent of Albert Pinkham Ryder to, later in his tragic life, a more realistic, physically experimental style often touching on abstraction.
Abraham A. Davidson is Professor of Art History at the Tyler School of Art, Temple University.