Mathematics has a great variety of applications in the physical sciences. This simple, undeniable fact, however, gives rise to an interesting philosophical problem: why should physical scientists find that they are unable to even state their theories without the resources of abstract mathematical theories? Moreover, the formulation of physical theories in the language of mathematics often leads to new physical predictions which were quite unexpected on purely physical grounds. It is thought by some that the puzzles the applications of mathematics present are artefacts of out-dated philosophical theories about the nature of mathematics. In this paper I examine numerical analysis what precisely it is and why it is important. I begin by presenting a selective conceptual reconstruction of one suggestive line in its historical development. Then expand my focus to a general account of what numerical analysis consists today.
| Published in | American Journal of Applied Mathematics (Volume 2, Issue 2) |
| DOI | 10.11648/j.ajam.20140202.15 |
| Page(s) | 69-73 |
| 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), 2024. Published by Science Publishing Group |
Applied Mathematics, History, Mathematics, Numerical Analysis, Physical Theories
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| [2] | C. Edwards, Jr. (1997) The Historical Development of the Calculus, Springer-Verlag. |
| [3] | K. Atkinson (1989) An Introduction to Numerical Analysis, 2nd ed., John Wiley Pub. |
| [4] | P.T. Bateman and H.G. Diamond, Asymptotic distribution of Beurling's generalized prime numbers, J. Studies in Number Theory. Ann, 6 (1969), 152{212} |
| [5] | M. Overton (2001) Numerical Computing with IEEE Floating Point Arithmetic, SIAM Pub. |
| [6] | J. Dongarra, I. Duff, D. Sorensen, and H. van der Vorst (1998) Numerical Linear Algebra for High-Performance Computers, SIAM Pub. |
APA Style
Aisan Khojasteh, Mahmoud Paripour. (2014). A Global Perspective on Applied Mathematics & Numerical Analysis. American Journal of Applied Mathematics, 2(2), 69-73. https://doi.org/10.11648/j.ajam.20140202.15
ACS Style
Aisan Khojasteh; Mahmoud Paripour. A Global Perspective on Applied Mathematics & Numerical Analysis. Am. J. Appl. Math. 2014, 2(2), 69-73. doi: 10.11648/j.ajam.20140202.15
AMA Style
Aisan Khojasteh, Mahmoud Paripour. A Global Perspective on Applied Mathematics & Numerical Analysis. Am J Appl Math. 2014;2(2):69-73. doi: 10.11648/j.ajam.20140202.15
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Download@article{10.11648/j.ajam.20140202.15,
author = {Aisan Khojasteh and Mahmoud Paripour},
title = {A Global Perspective on Applied Mathematics & Numerical Analysis},
journal = {American Journal of Applied Mathematics},
volume = {2},
number = {2},
pages = {69-73},
doi = {10.11648/j.ajam.20140202.15},
url = {https://doi.org/10.11648/j.ajam.20140202.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140202.15},
abstract = {Mathematics has a great variety of applications in the physical sciences. This simple, undeniable fact, however, gives rise to an interesting philosophical problem: why should physical scientists find that they are unable to even state their theories without the resources of abstract mathematical theories? Moreover, the formulation of physical theories in the language of mathematics often leads to new physical predictions which were quite unexpected on purely physical grounds. It is thought by some that the puzzles the applications of mathematics present are artefacts of out-dated philosophical theories about the nature of mathematics. In this paper I examine numerical analysis what precisely it is and why it is important. I begin by presenting a selective conceptual reconstruction of one suggestive line in its historical development. Then expand my focus to a general account of what numerical analysis consists today.},
year = {2014}
}
TY - JOUR T1 - A Global Perspective on Applied Mathematics & Numerical Analysis AU - Aisan Khojasteh AU - Mahmoud Paripour Y1 - 2014/05/20 PY - 2014 N1 - https://doi.org/10.11648/j.ajam.20140202.15 DO - 10.11648/j.ajam.20140202.15 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 69 EP - 73 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20140202.15 AB - Mathematics has a great variety of applications in the physical sciences. This simple, undeniable fact, however, gives rise to an interesting philosophical problem: why should physical scientists find that they are unable to even state their theories without the resources of abstract mathematical theories? Moreover, the formulation of physical theories in the language of mathematics often leads to new physical predictions which were quite unexpected on purely physical grounds. It is thought by some that the puzzles the applications of mathematics present are artefacts of out-dated philosophical theories about the nature of mathematics. In this paper I examine numerical analysis what precisely it is and why it is important. I begin by presenting a selective conceptual reconstruction of one suggestive line in its historical development. Then expand my focus to a general account of what numerical analysis consists today. VL - 2 IS - 2 ER -
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