Tom Archibald

This book provides a contemporary and thought-provoking exploration of the concept of practical wisdom--what it is and how it can be incorporated into evaluation practice. It defines what practical wisdom is, explores its roots, where it stands today, what constitutes the "wise" evaluator, and how we can develop sound judgment in an unpredictable and chaotic time. It brings together evaluation thought leaders and practitioners to examine the concept of practical wisdom. The authors’ enlightening essays are interwoven with reflective strands comprised of commentaries, examples, and new ideas added by Hurteau and her colleagues that offer a recursive and intricate pattern of reflection on the topic of practical wisdom. This is a rare book because it moves beyond evaluation methodology to explore how practical wisdom can help us develop new and better solutions for difficult evaluation situations. It will become a standard reference for practitioners, trainers. and teachers of evaluation because it considers the history, ethics, and competencies that underpin practical wisdom, and examines the ways that this untaught skill can be applied, to do, as House says, “the right thing in the special circumstances of performing the job.”

In 1899, Ivar Fredholm discovered how to treat an integral equation using conceptual methods from linear algebra and use these ideas to solve certain classes of boundary value problems. He formulated a theory allowing him both to unify large classes of problems and to attack several problems fruitfully. The historical literature on the theory of integral equations has concentrated largely on the unification that was afforded by Hilbert and his school, but has not throughly investigated the roots of the subject in the older theory of partial differential equations, as developed for instance by Fredholm himself but also by Volterra and Levi-Civita. By concentrating on work issuing from this older tradition, in particular on French and Italian work, the paper shows how the new theory of integral equations was enthusiastically received, especially for its fruitful applications to areas of mathematical physics such as hydrodynamics, elasticity, and heat theory.

This chapter surveys the involvement of U. S. mathematicians in the Great War, with a particular focus on Harvard, Princeton, and Chicago. The late entry of the U. S. into the war, in April 1917, was met with a very broad and rapid mobilization. Mathematicians were implicated in their professional roles in a variety of ways, and engaged in research and educational efforts in ways that displayed, and to some extent helped forge, a nationally unified community. Research came to the fore principally in ballistics, and in the design of devices, such as submarine detection devices. The sudden necessities associated with teaching basic facts of trigonometry, or even arithmetic, to large numbers of poorly prepared recruits, likewise stimulated debates on curricula at different levels. The mathematical involvement in the war effort further led to the initiation of relationships with industry and government that were to endure.

In 1899, Ivar Fredholm discovered how to treat an integral equation using conceptual methods from linear algebra and use these ideas to solve certain classes of boundary value problems. He formulated a theory allowing him both to unify large classes of problems and to attack several problems fruitfully. The historical literature on the theory of integral equations has concentrated largely on the unification that was afforded by Hilbert and his school, but has not throughly investigated the roots of the subject in the older theory of partial differential equations, as developed for instance by Fredholm himself but also by Volterra and Levi-Civita. By concentrating on work issuing from this older tradition, in particular on French and Italian work, the paper shows how the new theory of integral equations was enthusiastically received, especially for its fruitful applications to areas of mathematical physics such as hydrodynamics, elasticity, and heat theory.