THE CARTESIAN COORDINATE SYSTEM IN SPACE
Abstract
The topic of the Cartesian coordinate system in space is analyzed in the scientific article, focusing on the fundamental principles of the coordinate system and its importance in mathematics, physics, and engineering. The Cartesian coordinate system (x, y, z) is used to define points in three-dimensional space. This system, by integrating geometry and algebra, allows the representation of straight lines, planes, and three-dimensional shapes. The article discusses the historical development of the system, its distinctive features, and its application in modern scientific research, highlighting its advantages through comparisons with other coordinate systems. The Cartesian coordinate system is widely used in modeling physical processes, such as in kinematics, dynamics, and the representation of electromagnetic fields. This article sheds light on the practical applications of the system in various fields.
References
1. Descartes, R. (1637). Discourse on the Method of Rightly Conducting the Reason, and Seeking for Truth in the Sciences. Paris: Gabriel Buon.
2. Stewart, J. (2015). Calculus: Early Transcendentals. 8th Edition. Boston: Cengage Learning.
3. Strang, G. (2016). Linear Algebra and Its Applications. 4th Edition. Boston: Cengage Learning.
4. Marsden, J. E., & Tromba, A. J. (2003). Vector Calculus. 5th Edition. New York: W. H. Freeman and Company.
5. Feynman, R. P., Leighton, R. B., & Sands, M. (1963). The Feynman Lectures on Physics. Volume I. Reading, MA: Addison-Wesley.
6. Larson, R., & Edwards, B. H. (2012). Calculus of a Single Variable. 10th Edition. Boston: Cengage Learning.