FREE Math Book. 729 pages.
"Topology Without Tears" by Morris.
“Topology's influence is evident in almost every other branch of mathematics. This makes the study of topology relevant to all who aspire to be mathematicians whether their first love is (or will be) algebra, analysis, category theory, chaos, continuum mechanics, dynamics, geometry, industrial mathematics, mathematical biology, mathematical economics, mathematical finance, mathematical modelling, mathematical physics, mathematics of communication, number theory, numerical mathematics, operations research or statistics. (The substantial bibliography at the end of this book suffices to indicate that topology does indeed have relevance to all these areas, and more.) Topological notions like compactness, connectedness and denseness are as basic to mathematicians of today as sets and functions were to those of last century. Topology has several different branches — general topology (also known as point- set topology), algebraic topology, differential topology and topological algebra — the first, general topology, being the door to the study of the others.”
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The history of Quantum Physics in one tweet ✍️
1900: Max Planck introduces the quantum hypothesis to explain black body radiation.
1905: Albert Einstein proposes the light quantum hypothesis to explain the photoelectric effect.
1924: Louis de Broglie suggests particles can exhibit wave-like behavior.
1925: Werner Heisenberg formulates matrix mechanics, the first version of quantum mechanics.
1926: Erwin Schrödinger develops wave mechanics and the Schrödinger equation.
1927: Heisenberg states the uncertainty principle, which shows precision limits for measuring pairs of physical properties.
1928: Paul Dirac formulates the Dirac equation, laying the groundwork for quantum field theory and predicting the existence of antimatter.
1935: Einstein, Podolsky, and Rosen publish the EPR paradox challenging quantum mechanics' completeness.
1947: Richard Feynman, Julian Schwinger, and Sin-Itiro Tomonaga independently develop the foundations of Quantum Electrodynamics (QED), which describes how light and matter interact.
1954: Chen Ning Yang and Robert Mills develop non-abelian gauge theories, paving the way for the development of QCD.
1961: Sheldon Glashow introduces a unification scheme for electromagnetic and weak interactions, an early step towards the Standard Model.
1964: John Bell proposes Bell's theorem, showing quantum entanglement cannot be explained by local hidden variables.
1964: Murray Gell-Mann and George Zweig, independently, propose the quark model for hadrons, leading to the concept of Quantum Chromodynamics (QCD) as the theory of strong interactions.
1973: David Gross, Frank Wilczek, and Hugh David Politzer discover asymptotic freedom in QCD, explaining how quarks behave inside nucleons, and strengthening QCD as the theory of the strong force.
1979: The Nobel Prize in Physics is awarded to Sheldon Glashow, Abdus Salam, and Steven Weinberg for their contributions to the unification of the weak force and electromagnetic interaction between elementary particles, using the framework of Quantum Field Theory.
1982: Alain Aspect's experiment confirms quantum entanglement, supporting Bell's theorem.
@gabrielpeyre Nice plot. Are you considering discrete conformal mappings or rather approximations of "continuous model". Is the evolutions of the circle parckings a result of successive application of cross ratio type transformations?