Η βασική βιβλιογραφία που θα χρησιμοποιηθεί είναι

Ελληνόγλωσση Βιβλιογραφία

1. Walter Rudin, (2000) Αρχές Μαθηματικής Αναλύσεως. Μετάφραση Δημοσθένης Σταλίδης, Εκδόσεις Leader Books.
2. Σκουτάρης, Ν. (2016) Πραγματική Ανάλυση, Κορφιάτης.
3. Κ. Σταθακόπουλος (1999) Πραγματική Ανάλυση, Εκδόσεις Αίθρα
4. Δ. Μπετσάκος, (2016) Εισαγωγή στην Πραγματική Ανάλυση, Εκδόσεις Αφοι Κυριακίδη
5. Π. Ξενικάκης, (1995) Πραγματική Ανάλυση, Εκδόσεις Ζήτη
6. Γεωργίου Δ., Ηλιάδης Σ., Μεγαρίτης Α. (2018) Πραγματική Ανάλυση, 3^η Έκδοση, Τζιόλα.
7. Ανούσης Μ.,Τσολομύτης Α.,Φελουζής Β (2014) Πραγματική Ανάλυση, Σ. Αθανασοπούλος & Σια

Ξενόγλωσση Βιβλιογραφία

1. Gerald B. Folland, (1999) Real Analysis, Modern Techniques and Their Applications, Second Edition, John Wiley and Sons, Inc.
2. Manfred Stoll. (2001) Introduction to Real Analysis, Second Edition, Addison Wesley.
3. Tom Apostol. (1985) Mathematical Analysis. Second Edition, Addison Wesley publishing company.
4. Ok, E. A. (2011). Real analysis with economic applications. Princeton University Press.

Ενδεικτική Αρθρογραφία

1. Feudel, F., & Biehler, R. (2021). Students’ understanding of the derivative concept in the context of mathematics for economics. Journal für Mathematik-Didaktik, 42(1), 273-305.
2. Amiel, Y., & Cowell, F. (1994). Monotonicity, dominance and the Pareto principle. Economics Letters, 45(4), 447-450.
3. Jordan, G. J., & Fortin, M. J. (2002). Scale and topology in the ecological economics sustainability paradigm. Ecological Economics, 41(2), 361-366.
4. Murota, K. (2016). Discrete convex analysis: A tool for economics and game theory. Journal of Mechanism and Institution Design, 1(1), 151-273.
5. Carfi, D. (2007). S-Linear Algebra in Economics and Physics. Applied sciences, 9.
6. Navascués, M. A., Rajan, P., & Chand, A. K. B. (2022). Binary Operations in Metric Spaces Satisfying Side Inequalities. Mathematics, 10(1), 11.
7. Jleli, M., & Samet, B. (2018). On a new generalization of metric spaces. Journal of Fixed Point Theory and Applications, 20(3), 1-20.
8. Kawamura, A., Steinberg, F., & Ziegler, M. (2016, July). Complexity theory of (functions on) compact metric spaces. In 2016 31st Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) (pp. 1-10). IEEE.
9. Frolkina, O. (2020). All projections of a typical Cantor set are Cantor sets. Topology and its Applications, 281, 107192.
10. Golmankhaneh, A. K., & Balankin, A. S. (2018). Sub-and super-diffusion on Cantor sets: Beyond the paradox. Physics Letters A, 382(14), 960-967.
11. Swaminathan, A., & Sivaraja, S. (2020). Fuzzy maximal, minimal open and closed sets. Advances in Mathematics: Scientific Journal, 9, 7741-7747.
12. Mukharjee, A. (2017). More on maximal, minimal open and closed sets. Communications of the Korean Mathematical Society, 32(1), 175-181.
13. Chen, T., & Sun, W. (2020). Iterated weak and weak mixed-norm spaces with applications to geometric inequalities. The Journal of Geometric Analysis, 30(4), 4268-4323.
14. Reijonen, A. (2019). Derivatives of inner functions in weighted mixed norm spaces. The Journal of Geometric Analysis, 29(3), 1859-1875.
15. Ahmed, A., & Kamal, A. (2015). Series expansions on some analytic function spaces. Journal of Computational and Theoretical Nanoscience, 12(8), 1586-1593.
16. Wang, M. K., Chu, Y. M., & Zhang, W. (2019). Monotonicity and inequalities involving zero-balanced hypergeometric function. Math. Inequal. Appl, 22(2), 601-617.
17. Chen, X., & Christensen, T. M. (2015). Optimal uniform convergence rates and asymptotic normality for series estimators under weak dependence and weak conditions. Journal of Econometrics, 188(2), 447-465.
18. Gardiner, S., & Manolaki, M. (2016). A convergence theorem for harmonic measures with applications to Taylor series. Proceedings of the American Mathematical Society, 144(3), 1109-1117.
19. Drapeau, S., Jamneshan, A., Karliczek, M., & Kupper, M. (2016). The algebra of conditional sets and the concepts of conditional topology and compactness. Journal of Mathematical Analysis and Applications, 437(1), 561-589.
20. Lawson, J., Wu, G., & Xi, X. (2020). Well-filtered spaces, compactness, and the lower topology. Houst. J. Math, 46(1), 283-294.
21. Mahanta, S., & Samanta, S. K. (2017). Compactness in multiset topology. Int. J. Math. Trends Tech.(IJMTT), 47, 275-282.
22. Dovgoshey, O., & Shcherbak, V. (2022). The range of ultrametrics, compactness, and separability. Topology and its Applications, 305, 107899.

Άλλη σχετική ενδεικτική βιβλιογραφία

1. Anderson, R. M. (1991). Non-standard analysis with applications to economics. Handbook of mathematical economics, 4, 2145-2208.
2. Royden, H. L., & Fitzpatrick, P. (1988). Real analysis (Vol. 32). New York: Macmillan.
3. Bartle, R. G., & Sherbert, D. R. (2000). Introduction to real analysis (Vol. 2). New York: Wiley.
4. Folland, G. B. (1999). Real analysis: modern techniques and their applications (Vol. 40). John Wiley & Sons.
5. Aliprantis, C. D., & Burkinshaw, O. (1998). Principles of real analysis. Gulf Professional Publishing.
6. Kolmogorov, A. N., & Fomin, S. V. (1975). Introductory real analysis. Courier Corporation.
7. Stein, E. M., & Shakarchi, R. (2009). Real analysis. Princeton University Press.
8. Finkenstadt, B., & Rootzén, H. (Eds.). (2003). Extreme values in finance, telecommunications, and the environment. CRC Press.
9. Sydsæter, K., Hammond, P., Seierstad, A., & Strom, A. (2008). Further mathematics for economic analysis. Pearson education.
10. Judd, K. L. (1998). Numerical methods in economics. MIT press.
11. Carter, M. (2001). Foundations of mathematical economics. MIT press.
12. Roberts, F. S. (1978). Graph theory and its applications to problems of society. Society for industrial and applied mathematics.
13. Rockafellar, R. T. (1974). Conjugate duality and optimization. Society for Industrial and Applied Mathematics.
14. McLennan, A. (2018). Advanced fixed point theory for economics (Vol. 25). Singapore: Springer

Συναφή επιστημονικά περιοδικά

Real Analysis Exchange (Michigan State University Press)

Journal of Algebra (Academic Press Inc)

Journal of Mathematical Economics (Elsevier)

Mathematical and Financial Economics (Springer)

Journal of Pure and Applied Algebra (Elsevier)

Linear and Multilinear Algebra (Taylor & Francis)

Communications in Algebra (Taylor & Francis)

Topology and its Applications (Elsevier)

Advances in Mathematics (Elsevier)

Handbook of Algebra (Elsevier)

Algebra and Logic (Springer) Algebraic and Geometric Topology (Mathematical Sciences Publishers)