Lax

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This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are often seen as competing and incompatible. Although he has been an academic for all of his adult life, his biography is not without drama and tragedy. Lax and his family barely escaped to the U.S. from Budapest before the Holocaust descended. He was one of the youngest scientists to work on the Manhattan Project. He played a leading role in coping with the infamous "kidnapping" of the NYU mathematics department's computer, in 1970. The list of topics in which Lax made fundamental and long-lasting contributions is remarkable: scattering theory, solitons, shock waves, and even classical analysis, to name a few. His work has been honored many times, including the Abel Prize in 2005. The book concludes with an account of his most important mathematical contributions, made accessible without heavy prerequisites. Reuben Hersh has written extensively on mathematics. His book with Philip Davis, The Mathematical Experience, won the National Book Award in science. Hersh is emeritus professor of mathematics at the University of New Mexico.

This book offers a comprehensive view of the best and the latest work in functional programming. It is the proceedings of a major international conference and contains 30 papers selected from 126 submitted. A number of themes emerge. One is a growing interest in types: powerful type systems or type checkers supporting overloading, coercion, dynamic types, and incremental inference; linear types to optimize storage, and polymorphic types to optimize semantic analysis. The hot topic of partial evaluation is well represented: techniques for higher-order binding-time analysis, assuring termination of partial evaluation, and improving the residual programs a partial evaluator generates. The thorny problem of manipulating state in functional languages is addressed: one paper even argues that parallel programs with side-effects can be "more declarative" than purely functional ones. Theoretical work covers a new model of types based on projections, parametricity, a connection between strictness analysis and logic, and a discussion of efficient implementations of the lambda-calculus. The connection with computer architecture and a variety of other topics are also addressed.