▲Desarrollo Profesional
Compartimos algunas referencias a tópicos de exploración deseable o activa, tomando en consideración áreas de interés, así como las configuraciones de asombro identificadas, tanto por introspección como por interacción local reciente (λ). Nota: Utilizamos el símbolo ♦, para indicar que dicha referencia se puede acceder en los Campus TecNM/ITT, gracias al convenio con CONRICyT. Abreviamos el bloque-i de referencias como Mχi (Math-Eχplorations). {rev. 2025.07.13}
├Mχ0: Fundamental references┤
- Black, Thaddeus H. (2023) Derivations of Applied Mathematics. [Nota: Los argumentos tienen una perspectiva aplicada. Ver también: https://www.derivations.org/] {λ2025.06.10}
- ♦Bronshtein, I. N. et al. (2015) Handbook of Mathematics. Springer. {λ2025.06.09}
- Fontes, Magnus (2015) Mathematical structures. {λ2025.06.10}
- ►Knill, Oliver (2023) Some fundamental theorems in mathematics. Harvard. {λ2025.06.10}
- ♦Lax, Peter D. & Maria Shea Terrell (2014) Calculus with Applications. Springer. [ver también: Peter Lax z”l Obituary] {λ2025.06.09}
- ♦Lax, Peter D. & Maria Shea Terrell (2017) Multivariable Calculus with Applications. Springer. {λ2025.06.09}
- ♦Rassias, T. M. (2014) Handbook of Functional Equations: Functional Inequalities. Springer. {λ2025.06.09}
├Mχ1: Differential eq’s, Lie groups, et al.┤
- ♦Awrejcewicz, Jan (2016) Dynamical Systems: Theoretical and Experimental Analysis. Springer. {λ2025.06.09}
- Behrndt, Jussi, et al. (2020) Boundary Value Problems, Weyl Functions and Differential Operators. Birkhäuser. {λ2025.06.09}
- Blanco-Díaz, L. et al. (2023) Geometric Numerical Methods for Lie Systems and Their Application in Optimal Control. Symmetry 15, 1285. {λ2025.06.10}
- Bryant, Robert L. (2018) An Introduction to Lie Groups and Symplectic Geometry: A series of nine lectures on Lie groups and symplectic geometry. (delivered at the Regional Geometry Institute in Park City, Utah, 24 June–20 July 1991). Duke University. {λ2025.06.09}
- ♦Cardin, Franco (2015) Elementary Symplectic Topology and Mechanics. Springer {λ2025.06.09}
- Colley, Susan J. (2011) Chapter 8: Vector Analysis in Higher Dimensions. En (su excelente libro) Vector Calculus, 4e. Pearson. {Note: parte de los recursos provistos en el curso Math 211 en Johns Hopkins Univ. } [ver también §7.4 Maxwell Equations.] {λ2025.06.09}
- [Encyclopedia of Mathematics] (s/f) Lie symmetry analysis. Springer & The European Mathematical Society. {λ2025.06.10}
- Faris, William G. (2006) Vector fields and differential forms. {λ2025.06.09}
- ◘Guckenheimer, John (2025) The Legacy of the Cartwright-Littlewood Collaboration. Preprint. {λ2025.06.13}
- Hasse, Markus (2003) The Functional Calculus for Sectorial Operators and Similarity Methods. (Diss.) Universität Ulm. {λ2025.06.09}
- Hicks, Noel J. (1965, 2022) Notes on Differential Geometry. TeXromancers. {λ2025.07.05}
- Holm, Darryl D. et al. (2009) Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions. Oxford University Press. {λ2025.06.09}
- Kosinski, Antoni A. (1993) Differential Manifolds. Academic Press. {λ2025.06.09}
- Lie, Sophus (1888) [Merker, Joël (Editor, Translator, 2015) Theory of Transformation Groups I: General Properties of Continuous Transformation Groups. With the collaboration of Friedrich Engel. A Contemporary Approach and Translation. Springer {λ2025.06.09}
- ♦Schaeffer, David G. & John W. Cain (2016) Ordinary Differential Equations: Basics and Beyond. Springer. [ver también: book-site] {λ2025.06.09}
- Teichmann, Josef (1999) Infinite dimensional Lie Theory from the point of view of Functional Analysis. (Diss.) Universität Wien. {λ2025.06.09}
├Mχ2: Bifurcation theory, PWS, et al.┤
- ♦Glendinning, Paul & Mike R. Jeffrey (2019) An Introduction to Piecewise Smooth Dynamics. Springer. {λ2025.06.10}
- ♦Liebscher, Stefan (2015) Bifurcations without parameters. Springer. {λ2025.06.10}
├Mχ3: Education & Culture┤
- Davis, Diana (2019). Guide to creating a discussion-based math class, with a problem-centered curriculum. {Profesora en Phillips Exeter Academy} {λ2025.06.09}
- ♦Gutiérrez, Ángel, et al. (2016) The Second Handbook of Research on the Psychology of Mathematics Education: The Journey Continues. {λ2025.06.09}
- Hanna, Gila & Michael de Villiers (2012) Proof and Proving in Mathematics Education: The 19th ICMI Study. Springer. {λ2025.06.09}
- ♦Karp, Alexander, et al. (2014) Handbook on the History of Mathematics Education. Springer. {λ2025.06.09}
- Mac Lane, Saunders (1981) Mathematical Models: A Sketch for the Philosophy of Mathematics. The American Mathematical Monthly, Vol. 88, No. 7. pp 462-472. {λ2025.06.09}
- Sfard, Anna (2017) (Video) Learning about Human Learning: How to Know More and Why We Will Never Know Enough. Univ. of Melbourne YouTube Channel. [Nota: Se le invita a revisar artículos relacionados con el trabajo de la Profesora Anna Sfard en la revista The Mathematics Enthusiast] {λ2025.06.09}
- Sfard, Anna (2022) The long way from mathematics to mathematics education: how educational research may change one’s vision of mathematics and of its learning and teaching. International Congress of Mathematicians (ICM), International Mathematical Union. EMS Press. {λ2025.06.09}
- Sfard, Anna (2024) (Video presentation and interview) Teaching Mathematics as Managing Communicational Gaps. NCUM Channel. {λ2025.06.09}
- Shvarts, Anna, et al. (2024) Reifying actions into artifacts: process-object duality from an embodied perspective on mathematics learning. Educational Studies in Mathematics Volume 117, pages 193–214. {λ2025.06.17}
├Mχ4: Mathematics¹ DTL² & Technology┤
- Davis, Jade & Kevin Heale (2025) (Video) Alondra Nelson and Cathy N. Davidson: AI and the Future of Higher Education Webinar. Futures Initiative. {λ2025.06.11}
- ◘Harris, Michael (2025) Missed Opportunities. Silicon Reckoner. {λ2025.06.11}
- ◘Harris, Michael (2025) Empire of AI, an appreciation: The nightmares that make generative AI possible. Silicon Reckoner. [Note: this is a kind of review of the very important and timely book “Empire of AI” by author: Karen Hao] {λ2025.07.13}
- [TLC] (s/f) (Web page) Artificial Intelligence in Teaching & Learning (UCSC‘s Teaching and Learning Center) [Nota: Puede visitar también el documento referido: Syllabi Policies for AI Generative Tools, que incluye políticas de uso, desde las más permisivas hasta las totalmente prohibitivas, normalmente según el tipo de disciplina o curso asociado.] {λ2025.06.11}
├Mχ5: Math Sciences³ & Applications┤
- Landsman, Klass (2017) Foundations of Quantum Theory: From Classical Concepts to Operator Algebras. SpringerOpen. {λ2025.06.09}
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¹Mathematics as well as Higher Education topics (i.e. post-secondary).
²DTL: Doing, Teaching, Learning (in our case, mathematics).
³We may include for example: Computer science, Theoretical physics, Probability theory, Mathematical statistics, Mathematical engineering, et al.