Strategis For Applying Complex Analysis In Solving Algebra Problems
Keywords:
Complex Analysis, Algebra, Application Strategies, Algebraic EquationsAbstract
Complex analysis plays an important role in modern algebra, especially in solving algebraic equations that cannot be solved with real numbers. However, the application of complex analysis requires special strategies to be implemented effectively. This study aims to analyze and formulate strategies for applying complex analysis in solving algebraic problems and provide examples of the application of these strategies in real cases. A qualitative approach with the research type of literature study and content analysis is used in this research. Data sources come from journals, textbooks, and other written references related to complex analysis and algebra. The data collection technique was done by documentation study. Data validity was obtained through source triangulation. Data analysis used the Miles, Huberman, and Saldana model with the stages of data reduction, data presentation, and conclusion drawing. The results of this study are in the form of a comprehensive strategy for applying complex analysis in solving algebraic problems which includes the stages of concept identification, relevant complex analysis methods, algebraic problems to be solved, and examples of strategy application in detail and systematically. The strategy formulated in this study can be used as a guide in applying complex analysis to solve various algebraic problems effectively, both in academic and practical fields.
Keywords: Complex Analysis, Algebra, Application Strategies, Algebraic Equations
References
Ahlfors, L. (2017). Complex Analysis: An Introduction to The Theory Of Analytic Functions Of One Complex Variable. New York: Courier Dover Publications.
Arifin, S., & Suryadi, D. (2017). Analisis Kompleks dan Aplikasinya Pada Persamaan Diferensial Biasa. Bandung: Penerbit ITB.
Aryani, F. (2014). Sifat Subkelas Fungi Univalen. Pekanbaru: LPPM UIN Sultan Syarif Kasim Riau.
Asmar, N., & Grafakos, L. (2010). Complex Analysis With Application. Columbia: Springer.
Bak, J., & Newman, D. (2017). Complex Analysis. New York: Springer Nature.
Campbell, A. (2013). Linear Algebra Via Complex Analysis. American Mathematical Montly 120, 1-17.
Cipta, H. (2020). Diktat Fungsi Kompleks. Medan: UIN Sumatera Utara.
Dunkel, J. (2019). Complex Analysis With Applications. Spring.
Dwi Tristianto, L. L. (2018). Penerapan Bilangan Kompleks untuk Menyelesaikan Soal-Soal Geometri Datar. Jurnal Matematika dan Aplikasi deCartesiaN, 8-14.
Ghassani, H. (2015). Penerapan Bilangan Kompleks pada Rangkaian RLC. Bandung: Universitas teknologi Bandung.
Hakim, A., & Supriadi, S. (2020). Analisis Kompleks: Konsep dan Aplikasi. Yogyakarta: Penerbit Andi.
Kadir. (2016). Fungsi Peubah Kompleks. Jakarta: UIN JAKARTA PRESS.
Kusumawinahyu, W. (2017). Fungsi Kompleks. Malang: UB Press.
Lexbin, M. (2019). Fungsi Variabel Kompleks. Siliwangi: IKIP Siliwangi.
Marsitin, R. (2017). Fungi Kompleks. Malang: Yayasan Edelweis.
Munir, R. (2015). Metode Numerik. Bandung: Penerbit Informatika.
Nugroho, A. (2018). Analisis Kompleks dan Penerapannya Dalam Menghitung Integral Lipat. Jurnal Matematika Terapan, 88-97.
Purnama, I., & Tanjungsari, R. (2018). Buku Ajar Analisis Kompleks. Yogyakarta: Deepublish.
Purnomo, D. (2020). Representasi Peubah Komplek. Malang: MNC Publishing.
Purwosetiyono, D. (2022). Pengantar Analisis Kompleks. Semarang: UPT Penerbitan Universitas PGRI Semarang Press.
Samura, L., Maulani, M., & Rosyidan, C. (2022). Monograf Kalkulus Fungsi Kompleks dan Penerapannya. Jakarta: Penerbit Universitas Trisakti.
Sari, D. I. (2014). Buku Diktat Analisa Variabel Kompleks. Bangkalan: STKIP PGRI Bangkalan.
Siswanto, B. (2018). Pengantar Teori. Jakarta: Penerbit Universitas Katolik Indonesia Atma Jaya.
Susanti, E. (2021). Penerapan Analisis Kompleks Pada Masalah Aljabar Linear. Jurnal Matematika dan Pendidikan Matematika, 27-38.
Wibowo, A., & Suryadi, D. (2019). Analisis Kompleks dan Aplikasinya Pada Persamaan Diferensial Parsial. Bandung: Penerbit ITB.
Wijayanti, I. (2019). Implementasi Metode Analisis Kompleks Untuk Menghitung Integral Kontur. Jurnal Sains dan Matematika, 53-62.
Yani, B., Anwar, & Syahjuzar. (2017). Pengantar Analisis Kompleks. Banda Aceh: Syiah Kuala Ubiversity Press.
Zetriuslita. (2014). Mudah Memahami Analisis Kompleks. Yogyakarta: Fahma Media.
Zill, D., & Shanahan, P. (2003). A First Course in Complex Analysis With Application. Jones and Bartlett Publishers.
Zill, D., & Shanahan, P. (2018). A First Course in Complex Analysis With Application (4th ed.). Jones and Bartlett Learning.
