The Contribution of Archimedes in Greek Mathematics After Euclid to the Advancement of Modern Mathematics: Implications for Student Understanding
DOI:
https://doi.org/10.25217/numerical.v8i2.5576Keywords:
Archimedes, Euclid, Students, Modern Mathematics, Greek MathematicsAbstract
This study examines Archimedes' contributions to the development of Greek mathematics after Euclid and its impact on the advancement of modern mathematics, as well as its implications for students. Although his contributions have been widely discussed, a deep understanding of the relevance of Archimedes' principles to modern mathematics is still limited. The purpose of this study is to analyze Archimedes' contributions and their implications across various fields of mathematics and their contemporary applications. The research method used is descriptive qualitative with a literature review approach to understand Archimedes' contributions within the historical context and modern relevance. The instruments used are relevant scholarly literature, including books and journals. The literature review includes previous works that highlight Archimedes' contributions to mechanics and mathematics, particularly in areas such as geometry, calculus, and the understanding of volume and surface area. The data analysis technique applied is descriptive qualitative analysis to identify patterns and themes in Archimedes' contributions, such as his development of methods for calculating areas and volumes of geometric bodies, as well as his innovative work in fluid mechanics. The results of this study emphasize the importance of historical understanding of Archimedes' contributions to mathematics and their implications for students. This study encourages students to explore the historical roots of modern mathematical concepts, fostering a deeper appreciation for the evolution of mathematical thought. The implications and benefits of this study motivate students to develop critical thinking and innovative problem-solving skills, applying mathematical concepts in real-world contexts.
References
[1] L. Akhsani, R. Rochmad, and I. Isnarto, "Euclid as a Humanist Figure in the Development of Philosophy and Mathematics Learning," Prism. Pros. Semin. Nas. Mat., vol. 5, pp. 158-161, 2022.
[2] S. Frisnoiry et al., "HISTORY OF GEOMETRY: EUCLID TO MODERN GEOMETRY CONCEPTS," J. Rev. Educ. and Teaching, vol. 7, no. 4, pp. 17009-17020, 2024.
[3] N. Nugraheni, "The Humanist School in the Philosophy of Mathematics," Pros. Semin. Nas. Mat., vol. 4, no. 3, pp. 393-396, 2021.
[4] N. D. M. Khasanah and R. Febriana, "Calculus Philosophy in the History of Mathematics," Absis Math. Educ. J., vol. 6, no. 1, pp. 43-51, 2024, doi: 10.32585/absis.v6i1.4902.
[5] D. Sholihat and A. Anwar, "The Natural Science Cluster in Islamic and Western Perspectives," CERDAS - J. Educ., vol. 3, no. 1, pp. 31-44, 2024, doi: 10.58794/cerdas.v3i1.938.
[6] Mahyana and Musdar, "History of Physics," 2023.
[7] I. Nurhikmayati, Encyclopedia of World Mathematicians, no. March. 2024.
[8] H. Suprianto, "Metaphysics, Epistemology, Methodology, Logic, Ethics, Aesthetics, and History of Philosophy," J. Innov. Teach. Instr. Media, vol. 4, no. 2, pp. 168-176, 2024, doi: 10.52690/jitim.v4i2.755.
[9] S. H. S. Herho and R. Suwarman, "Introduction to Geophysical Fluid Dynamics." December 18, 2024. doi: 10.22541/au.173456157.70907949/v1.
[10] L. Newtonic, "Archimedes' Contributions in Mathematics," StudiousGuy. Accessed: September 21, 2024. [Online]. Available at: https://studiousguy.com/archimedes-contributions-in-mathematics/
[11] M. Tavora, "Archimedes and the Integral Calculus," Towards Data Science. [Online]. Available at: https://towardsdatascience.com/archimedes-and-the-integral-calculus-4cf875c6fee4
[12] H. Gunawan, "Archimedes and the Estimation of the Number π," vol. 1, no. 7, 2015.
[13] T. G. Chondros, "Archimedes life works and machines," Mech. Mach. Theory, vol. 45, no. 11, pp. 1766-1775, Nov. 2010, doi: 10.1016/j.mechmachtheory.2010.05.009.
[14] A. Efendi, C. Fatimah, D. Parinata, and M. Ulfa, "Gen Z's Understanding of Mathematics History," J. Educ. Mat. Univ. Lampung, vol. 9, no. 2, pp. 116-126, 2021, doi: 10.23960/mtk/v9i2.pp116-126.
[15] Rusandi and Muhammad Rusli, "Designing Basic/Descriptive Qualitative Research and Case Studies," Al-Ubudiyah J. Educ. and Stud. Islam, vol. 2, no. 1, pp. 48-60, 2021, doi: 10.55623/au.v2i1.18.
[16] E. Murdiyanto, Qualitative Research Methods (Systematics of Qualitative Research). 2020. [Online]. Available at: http://www.academia.edu/download/35360663/METODE_PENELITIAN_KUALITAIF.docx
[17] Mahanum, "Literature Review," ALACRITY J. Educ., vol. 2, no. 1, pp. 1-12, 2021, doi: 10.52121/alacrity.v1i2.20.
[18] A. Septiana, I. I. Amin, J. Soebagyo, and I. Nuriadin, "Literature Study: Realistic Mathematics Education Approach in Mathematics Learning," Theorem and Ris. Mat., vol. 7, no. 2, pp. 343, 2022, doi: 10.25157/teorema.v7i2.7090.
[19] N. Smith, "Archimedes of Syracuse," Eng., vol. 300, no. 7917, pp. 34-35, 2020, doi: 10.12968/s0013-7758(22)90233-8.
[20] M. Farid, "HISTORY OF GREEK MATHEMATICS," J. Darussalam; J. Ilm. And Sos., vol. 25, no. 02, pp. 1-19, 2024.
[21] Ali, "A Long History of Mathematics: From Antiquity to Contemporary." Accessed: October 2, 2024. [Online]. Available at: https://ali.medium.com/a-long-history-of-mathematics-from-antiquity-to-contemporary-101a5f76f4c0
[22] A. C. Dewi, A. Arfah Maulana, A. Nururrahmah, A. Muh Farid Naufal, and M. S. Fadhil, "The Role of Technological Advancement in Education," J. Educ., vol. 06, no. 01, pp. 9725-9734, 2023.
[23] S. Kholifah, "Falsification of the Value of Pi (π): Uncertainty in the Study of Methodological History," MATH LOCUS J. Ris. and Inov. Educ. Mat., vol. 2, no. 2, pp. 52-56, 2021, doi: 10.31002/mathlocus.v2i2.1937.
[24] M. R. Taufani, Archimedes and Edward Jenner. 2023.
[25] I. Kurniawan, Archimedes and Specific gravity. Nuansa Cendekia, 2023.
[26] Y. Reich, "The Archimedes Code: a dialogue between science, practice, design theory and systems engineering," Des. Sci., vol. 9, pp. 1-26, 2023, doi: 10.1017/dsj.2022.27.
[27] E. Galiffi, P. A. Huidobro, and J. B. Pendry, "An Archimedes' screw for light," Nat. Commun., vol. 13, no. 1, pp. 1-9, 2022, doi: 10.1038/s41467-022-30079-z.
[28] Sadiman and T. Ningsih, Explore Natural Science for SMP/MTs Class VIII. Duta Publisher, 2019.
[29] M. Siskawati, M. Sudarmi, and M. R. S. Nurani, "Mapping Students' Conceptions of Archimedes' Law," Pros. Semin. Nas. Science and Educ. Science, vol. 1, no. 1, pp. 1-14, 2019, [Online]. Available at: http://repository.uksw.edu/bitstream/123456789/5933/2/PROS_Meylan S%2C Marmi S%2C Made RSSN_Conception_fulltext.pdf
[30] J. Villacrés, M. Barczyk, and M. Lipsett, "Literature review on Archimedean screw propulsion for off-road vehicles," J. Terramechanics, vol. 108, pp. 47-57, Aug 2023, doi: 10.1016/j.jterra.2023.05.001.
[31] N. Kampouris, "The Archimedes Screw: An Ancient Greek Invention for Lifting Water that is Still in Use Today." [Online]. Available at: https://greekreporter.com/2024/03/09/archimedes-screw-ancient-greek-invention-used-today/
[32] L. Chiucarello, "Archimedes the Mathematician." [Online]. Available at: https://ctsciencecenter.org/blog/archimedes-the-mathematician/
[33] W. Wieczorek, "Archimedes' Proof of the Area of Circles," Medium. [Online]. Available at: https://www.cantorsparadise.com/archimedes-proof-of-the-area-of-circles-6b6b1c55a3b0
[34] Maria, "Everything About Archimedes Inventions and Discoveries," SuperProf. [Online]. Available at: https://www.superprof.com/blog/archimedes-contributions-to-the-field-of-mathematics/
[35] J. Powers, "Did Archimedes do calculus?," Www.Maa.Org, 2020, [Online]. Available at: https://www.maa.org/sites/default/files/images/upload_library/46/HOMSIGMAA/2020-Jeffery Powers.pdf
[36] M. Jaeger, "Archimedes in the Twenty-First Century Imagination," J. Spinger, 2017, doi: https://doi.org/10.1007/978-3-319-58059-3_8.
[37] A. Karin, "History of the Development of Science," vol. 2, no. 1, pp. 273-289, 2014.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Khaisa Alifa Nadira, Yulyanti Harisman

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.