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

Edward T. H. Wu

doi:doi:10.11648/j.pamj.20150404.12

| Peer-Reviewed

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

Edward T. H. Wu

Published in Pure and Applied Mathematics Journal (Volume 4, Issue 4)

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories
AU  - Edward T. H. Wu
Y1  - 2015/06/19
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150404.12
DO  - 10.11648/j.pamj.20150404.12
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 147
EP  - 154
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150404.12
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
IS  - 4
ER  -

Copy | Download

Author Information

Edward T. H. Wu

Davinci International Academy, Los Angeles, California, USA

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Methodologies in Physics and Their Applications in Derivation of Velocity and Acceleration Theories
AU  - Edward T. H. Wu
Y1  - 2015/06/19
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150404.12
DO  - 10.11648/j.pamj.20150404.12
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 147
EP  - 154
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150404.12
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
IS  - 4
ER  -

Copy | Download