Bøger i Mathematical Concepts and Methods in Science and Engineering serien

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.

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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.

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

Presenting a vector treatment of the principles of mechanics, this work aims to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results.

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

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.