I am reading and discussing the following book with my guidance: Vanny Doem
I am reading and discussing the following book with my guidance: Vanny Doem
Mathematics-2025
Homological Algebra
References:
Hilton and Stammbach, A Course in Homological Algebra
Cartan-Eilenberg, Homological algebra
Rotman, An introduction to homological algebra
Weibel, An introduction to homological algebra
Algebraic Topology
References:
Allen Hatcher, Algebraic Topology
J. P. May, A Concise Course in Algebraic Topology
John M. Lee, Introduction to Topological Manifolds
Mathematics-2024
Topology
References:
James R. Munkres, Topology
Algebraic Topology
References:
J. P. May, A Concise Course in Algebraic Topology
John M. Lee, Introduction to Topological Manifolds
Allen Hatcher, Algebraic Topology
Category Theory
References:
Steve Awodey, Category Theory
Emily Riehl, Category Theory in Context
Triangulated Category
References:
Thorsten Holm and Peter Jorgensen, Triangulated Categories: definitions, properties, and examples
A. Neeman, Triangulated categories
Mathematics-2023
Real Analysis
References:
M. Bruckner, Elementary Real Analysis
Abstract Algebra
References:
Dummit and Foote, Abstract Algebra
Gallian, Contemporary Abstract Algebra
Calculus
References:
James Stewart, Calculus
Metric Space
References:
Mícheál Ó Searcóid, Metric Space
Mathematical Philosophy
Francis Su, Mathematics for Human Flourishing
Eugenia Cheng, IS MATHS REAL?
David S. Richeson, Euler's Gen: The Polyhedron Formula and the Birth of Topology
Jeffery R. Weeks, The shape of spaces
Eugenia Cheng, The joy of abstraction - an exploration of math, life, and category theory
David Bessis, Mathematica: A Secret World of Intuition and Curiosity