Mathematical methods for economics and the social sciences. (Metodi matematici per l’economia e le scienze sociali). 2nd ed. (Metodi matematici per l’economia e le scienze sociali.) (Italian) Zbl 0747.90002

Guerraggio, Angelo; Salsa, Sandro

Torino: G. Giappichelli Editore. viii, 565 p. (1988).

This book presents the basic mathematical tools needed by any undergraduate student in economics. Special emphasis has been given to the treatment of optimization programs (including problems of calculus of variations and optimal control), and to the study of systems of ordinary differential equations. Numerous examples form an important and integral part of the book and will help the reader testing the understanding of the general theory in the text.
Contents: Elements of linear algebra; Differential calculus for functions of several variables; Optimality conditions in nonlinear programming; Metric spaces and fixed points theorems; Systems of ordinary differential equations; Finite difference equations; Calculus of variations; Elements of optimal control theory.

Reviewer: A.Seeger (Barcelona)

MSC:

90-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
00A06	Mathematics for nonmathematicians (engineering, social sciences, etc.)
91B62	Economic growth models
90C90	Applications of mathematical programming
93C95	Application models in control theory

Keywords:

calculus of variations