Multidimensional Analysis: Algebras and Systems for Science and Engineering (Lecture Notes in Economics and) - Hardcover

Hart, George W.

Hardcover

ISBN 10: 0387944176 ISBN 13: 9780387944173

Publisher: Springer, 1995

Synopsis

This book deals with the mathematical properties of dimensioned quantities, such as length, mass, voltage, and viscosity.
Beginning with a careful examination of how one expresses the numerical results of a measurement and uses these results in subsequent manipulations, the author rigorously constructs the notion of dimensioned numbers and discusses their algebraic structure. The result is a unification of linear algebra and traditional dimensional analysis that can be extended from the scalars to which the traditional analysis is perforce restricted to multidimensional vectors of the sort frequently encountered in engineering, systems theory, economics, and other applications.

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Review

FROM THE REVIEWS:

ZENTRALBLATT MATH
"As the book is addressed to physicists, engineers, economists and scientists in a broad sense, who are using linear algebra and linear systems theory in the multidimensional setting, the potential reader will find here a consistent and clear exposition of basic ideas and applications which meet their needs. To the more mathematically minded readers the book offers interesting structures and concepts that deserve generalization.”

Edition details

• Publisher: Springer
• Publication date: 1995
• Language: English
• ISBN 10: 0387944176
• ISBN 13: 9780387944173
• Binding: Hardcover
• Number of pages: 248