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  • © 1995

Multidimensional Analysis

Algebras and Systems for Science and Engineering

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
  2. Introductory

    • George W. Hart
    Pages 1-15
  3. Dimensioned Linear Algebra

    • George W. Hart
    Pages 57-84
  4. The Theory of Dimensioned Matrices

    • George W. Hart
    Pages 85-118
  5. Aspects of the Theory of Systems

    • George W. Hart
    Pages 145-170
  6. Multidimensional Computational Methods

    • George W. Hart
    Pages 171-208
  7. Forms of Multidimensional Relationships

    • George W. Hart
    Pages 209-217
  8. Concluding Remarks

    • George W. Hart
    Pages 219-221
  9. Solutions to Odd-Numbered Exercises

    • George W. Hart
    Pages 223-226
  10. Back Matter

    Pages 227-236

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

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access