Books in the Mathematical Concepts and Methods in Science and Engineering series

Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed.

Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry.

This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory.

This book is to serve as a text for engineering students at the senior or beginning graduate level in a second course in dynamics.

This book has two special features: First, it contains generalizations of continuous maps on topological spaces, e. , almost continuous maps, nearly continuous maps, maps with closed graph, graphically continuous maps, w-continuous maps, and a-continuous maps, etc.

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In the present monograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory.

This book is a self-contained text devoted to the numerical determination of optimal inputs for system identification. The book can be used for a two-semester course in control theory, system identification, and optimal inputs.