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Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories

Received: 12 May 2015     Accepted: 23 May 2015     Published: 19 June 2015
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Abstract

The principles to use variables and mathematical methodologies in physics are addressed. A set of refined definitions with designated variables are used to derive the Velocity and Acceleration Theories in Distance Field and Vector Space. Mathematical methodologies such as Linear Algebra and Vector Calculus are used systematically in a step by step derivation process. The proof of the theories can be easily achieved by substitution of the designated variables with a set of parameters that matches the same assumptions and conditions in every step of the derivation process.

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 4)
DOI 10.11648/j.pamj.20150404.12
Page(s) 147-154
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Variables, Parameters, Velocity, Acceleration, Linear Algebra, Vector Calculus, Mathematical Methodology

References
[1] Strang, Gilbert (July 19, 2005), Linear Algebra and Its Applications (4th ed.), Brooks Cole, ISBN 978-0-03-010567-8.
[2] Weisstein, Eric. "Linear Algebra". From MathWorld--A Wolfram Web Resource. Wolfram. Retrieved 16 April 2012.
[3] Vitulli, Marie. "A Brief History of Linear Algebra and Matrix Theory”. Department of Mathematics. University of Oregon. Archived from the original on 2012-09-10. Retrieved 2014-07-08.
[4] http://en.wikipedia.org/wiki/Linear_algebra.
[5] Galbis, Antonio & Maestre, Manuel (2012). Vector Analysis Versus Vector Calculus. Springer. p. 12. ISBN 978-1-4614-2199-3.
[6] J.E. Marsden (1976). Vector Calculus. W. H. Freeman & Company. ISBN 0-7167-0462-5.
[7] Michael J. Crowe (1967). A History of Vector Analysis : The Evolution of the Idea of a Vectorial System. Dover Publications; Reprint edition. ISBN 0-486-67910-1.
[8] Bourbaki, Nicolas (1987), Topological vector spaces, Elements of mathematics, Berlin, New York: Springer-Verlag, ISBN 978-3-540-13627-9.
[9] Bourbaki, Nicolas (2004), Integration I, Berlin, New York: Springer-Verlag, ISBN 978-3-540-41129-1.
[10] Braun, Martin (1993), Differential equations and their applications: an introduction to applied mathematics, Berlin, New York: Springer-Verlag, ISBN 978-0-387-97894-9.
Cite This Article
  • APA Style

    Edward T. H. Wu. (2015). Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories. Pure and Applied Mathematics Journal, 4(4), 147-154. https://doi.org/10.11648/j.pamj.20150404.12

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    ACS Style

    Edward T. H. Wu. Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories. Pure Appl. Math. J. 2015, 4(4), 147-154. doi: 10.11648/j.pamj.20150404.12

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    AMA Style

    Edward T. H. Wu. Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories. Pure Appl Math J. 2015;4(4):147-154. doi: 10.11648/j.pamj.20150404.12

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  • @article{10.11648/j.pamj.20150404.12,
      author = {Edward T. H. Wu},
      title = {Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories},
      journal = {Pure and Applied Mathematics Journal},
      volume = {4},
      number = {4},
      pages = {147-154},
      doi = {10.11648/j.pamj.20150404.12},
      url = {https://doi.org/10.11648/j.pamj.20150404.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150404.12},
      abstract = {The principles to use variables and mathematical methodologies in physics are addressed. A set of refined definitions with designated variables are used to derive the Velocity and Acceleration Theories in Distance Field and Vector Space. Mathematical methodologies such as Linear Algebra and Vector Calculus are used systematically in a step by step derivation process. The proof of the theories can be easily achieved by substitution of the designated variables with a set of parameters that matches the same assumptions and conditions in every step of the derivation process.},
     year = {2015}
    }
    

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    Y1  - 2015/06/19
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    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
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    AB  - The principles to use variables and mathematical methodologies in physics are addressed. A set of refined definitions with designated variables are used to derive the Velocity and Acceleration Theories in Distance Field and Vector Space. Mathematical methodologies such as Linear Algebra and Vector Calculus are used systematically in a step by step derivation process. The proof of the theories can be easily achieved by substitution of the designated variables with a set of parameters that matches the same assumptions and conditions in every step of the derivation process.
    VL  - 4
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  • Davinci International Academy, Los Angeles, California, USA

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