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Multidimensional Analysis

Algebras and Systems for Science and Engineering

  • Textbook
  • © 1995

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Table of contents (10 chapters)

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About this book

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.

Reviews

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.”

Authors and Affiliations

  • Department of Electrical Engineering, Columbia University, New York, USA

    George W. Hart

Bibliographic Information

  • Book Title: Multidimensional Analysis

  • Book Subtitle: Algebras and Systems for Science and Engineering

  • Authors: George W. Hart

  • DOI: https://doi.org/10.1007/978-1-4612-4208-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Hardcover ISBN: 978-0-387-94417-3Published: 17 March 1995

  • Softcover ISBN: 978-1-4612-8697-4Published: 22 August 2012

  • eBook ISBN: 978-1-4612-4208-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 236

  • Topics: Applications of Mathematics, Physics, general, Numerical Analysis, Mathematical and Computational Engineering

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