This volume introduces a general method for building infinite mathematical structures and surveys applications in algebra and model theory. It covers basic model theory and examines a variety of algebraic applications, including completeness for Magidor-Malitz quantifiers, Shelah's recent and sophisticated omitting types theorem for L(Q), and applications to Boolean algebras. Over 160 exercises. 1985 edition. Slightly corrected republication of the edition published by Cambridge University Press, Cambridge, 1985.
Concepts of Mathematical Modeling by Walter J. Meyer This text features a variety of applications, and examinations of classic models. Each section is preceded by an abstract and statement of prerequisites. Includes exercises. 1984 edition.
An Introduction to Mathematical Modeling by Edward A. Bender Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Mathematical Modelling Techniques by Rutherford Aris Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.