Oscar NievesThe big shift: how theoretical physicists became software developers (mostly)When a person who works outside of the field of physics is asked “what does a theoretical physicist do?” the general answer is something…·4 min read·Jan 23, 2024----

Oscar NievesWhy even solvable problems are often unsolvableSolvability is a very interesting concept in mathematics by which one can determine, using sophisticated methods of proof and analysis…·6 min read·Jul 18, 2023--3--3

Oscar NievesSolving an integral equation with a simple trickIn a paper published in 2011 by Waldemar Klobus (Motion on a vertical loop with friction) an interesting integral equation (more precisely…·4 min read·Mar 29, 2023----

Oscar NievesSolving difficult integrals with substitutionIntegration by substitution is a very powerful tool for evaluating integrals where the answer may not seem as obvious at first, but under…·4 min read·Mar 26, 2023--1--1

Oscar NievesinCantor’s ParadiseCauchy’s integral formulaIn my previous article (Contour integrals — a simple introduction) I discussed how to perform integrals of complex-valued functions in the…·6 min read·Mar 23, 2023----

Oscar NievesContour integrals — a simple introductionWhen dealing with functions of complex variables, such as f(z) where z = x + iy, their integration with respect to z must be done in a…·4 min read·Mar 23, 2023--3--3

Oscar NievesNumba: Python’s lord and saviorWhen it comes to high performance computing (HPC), people often think of programming languages like C/C++ or Fortran, especially in the…·7 min read·Feb 19, 2023--2--2

Oscar NievesDifferentiating inverse functionsFunctions such as arcsin(x), arccos(x), arctan(x), etc. are considered to be inverse functions of sin(x), cos(x) and tan(x) respectively…·3 min read·Jan 30, 2023----

Oscar NievesImplicit differentiation in a nutshellWhat is implicit differentiation? When we are dealing with derivatives of functions in calculus, we often encounter functions such as y =…·5 min read·Jan 30, 2023--1--1

Oscar NievesEssential math for quantum mechanicsAll the things you need to know.·7 min read·Jan 19, 2023----