Although his classic work has gone through many reprintings and translations, only now has Paul A. Samuelson added new material to his 1947 treatise. A new introduction portrays the genesis of the book and analyzes how its contributions fit into theoretical developments of the last thirty-five years. A new and lengthy mathematical appendix gives a survey of the following post-1947 breakthroughs in political economy, in relation to the methodology of Foundations : linear programming and comparative statics; nonlinear programming, dynamic and stochastic; modern duality theory; the testable content of the neoclassical money model; probabilistic decision making, with new slants on the dogma of Expected-Utility maximizing; and portfolio and liquidity preference analysis by general methods that transcend mean-variance approximations.
Paul Anthony Samuelson (May 15, 1915 – December 13, 2009) was an American economist. The first American to win the Nobel Memorial Prize in Economic Sciences, the Swedish Royal Academies stated, when awarding the prize in 1970, that he "has done more than any other contemporary economist to raise the level of scientific analysis in economic theory". Economic historian Randall E. Parker has called him the "Father of Modern Economics", and The New York Times considered him to be the "foremost academic economist of the 20th century"
Work all the way through it, with a good reference to PDE's at your side. It's incredibly rewarding and remains the only economics book I've felt not entirely full of its own asshole.
It has become [...] more common to argue that Pareto optimality is a necessary condition for social optimality, even though not sufficient. If Pareto optimality is not sufficient (though necessary), we need some further criteria to make judgments about different distributions, and the question arises how that supplementation may be done. The need for using systematic procedures for this supplementation was discussed by Abram Bergson, and extensively explored by Paul Samuelson in his classic treatise Foundations of Economic Analysis.