Teaching
Lecture Notes
- Manuel Mañas. Apuntes de Variable Compleja. 2022.
- Manuel Mañas & Luis Martínez Alonso.Mathematical Methods II. Lecture Notes. 2022.
- Manuel Mañas & Luis Martínez Alonso. Ecuaciones Diferenciales II. 2007. 25.115 downloads between nov 2017-nov 2022. 5.966 downloads between nov 2021-nov 2022.
Books
Together with Luis Martínez-Alonso, I recently completed a comprehensive book titled Boundary Value Problems for Linear Partial Differential Equations, published by CRC Press, a renowned and respected publisher in the academic community. The book, available at DOI:10.1201/9781032664514 aims to provide a valuable resource for students, researchers, and practitioners interested in exploring the fascinating realm of linear partial differential equations and their boundary value problems. We hope this work will contribute to the advancement of knowledge in this field and serve as a helpful reference for those seeking a deeper understanding of these complex mathematical concepts.
Office no.10 (2nd floor, western wing)
Academic course 2023-24
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First Semester
- Metodos Matemáticos I (Grado en Física), grupo E (hipervínculo a páginas de Moodle, el acceso requiere de credenciales validos)
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Second Semester
- Metodos Matemáticos II (Grado en Física), grupo E(Bachelor in Physics), group B
- Modelos Integrables en Física (Máster en Física Teórica)
My teaching primarily focuses on undergraduate courses that cover topics such as partial differential equations in Mathematical Physics, including boundary value problems, as well as the fundamentals of complex analysis in one variable and its applications.
In addition to undergraduate teaching, I have also instructed postgraduate and master's level courses on subjects including group theory, Kac-Moody algebras, functional analysis, integrable systems, and orthogonal polynomials.