theNUDdistBUDDhist wrote:I actually dropped out, in 10th grade . . . In Math I was always a ways ahead of the class . . . My "Math Applications" were at the collage level and "Math Facts" was 10th grade . . . I completed Algebra / Geometry without any real effort I was helping people in Geo. before I took alg MoNK
Monk
If you are only a couple of years past high school - you will need to have your math skills quantified - A perfect Math SAT provides a hell of a lot of latitude to demean some of lifes’ basics (math, physics) which, for the rest of the proletariat, are a biatch !
Are you familiar w/conversant to utilize : Graph Theory; Number/Chaos Theory; Numerical Optimization; Numerical Optimal Control of Partial Differential Equations; Numerical Analysis; Numerical Solution of Partial Differential Equations; Spectral Methods for Partial Differential Equations; High Order Finite Difference Methods for Computational Acoustics and Fluid Dynamics; Finite Element Methods; Time Series Analysis/Forecasting ?
If so, or you can easily learn each of these areas by skimming a text and then applying as necessary - then you do qualify as a savant who should be dealt with appropriately - I might suggest the Princeton Institute for Advanced Physics.
The following is a partial listing of one faculties expertise within their Math Department, It begins to show the range where pure math has been applied into more finite applications:Visualization, Computational Fluid Dynamics Computational Fluid Dynamics Spectral Methods, Computation Electromagnetics Finite Element Methods, Optimization Level Set Methods, Combustion and Cfd High-order Finite Difference Methods, Computational AcousticsMathematical Physiology, Protein Structure Determination Human Brain MappingGame Theoretic ModelingComputational Fluid Dynamics, Bio-fluid Dynamics Modeling of Complex Fluids, Bio-fluid DynamicsProtein Structure from Solid-state Nmr Data Dna Topology, Human Brain MappingAcoustic Liner Simulation, Grid Generation Jet Noise, Parabolized Methods Finite Element Methods, Computational Materials Molecular Dynamic Simulation, Computational Materials
This is a decent Math Department - Not a Princeton/MIT or Stanford - If you extrapolate this skill set being further applied into physics, material science, circuit design, Network Topology, financial systems, bioinformatics, cheminformatics or literally dozens of other fields/problems - you should grasp why a basic facility with advanced mathematics allows the user to apply the proper tools to potentially solve life’s little problems - and this skirts the whole physics-math-theology morass..
If the core skills can be utilized/applied in the real world - a savant level soul can pick and chose where to apply themselves diligently, or as a dilettante to any problem that might catch their attention through their lifes’ journeys.
Illustrative of the breadth of math being applied:
1.3.1 Computational MathematicsComputational fluid dynamics and acousticsComputing applications to physical systems Finite element methods Multidomain spectral methods Electromagnetic wave propagation Finite Difference Methods Numerical optimization Computational fluid dynamics and interfacial flows, level set methods, dynamic adaptive mesh algorithms Computational rheology Computing applications to physical and information systems. Physical computation by adaptive nonlinear computational networks with emergent propertiesEmpirical modeling and data analysis.
1.3.2 Fluid dynamicsAcoustics and jet noise Topographical effects in rotating fluids TurbulenceMultiphase flow CombustionKinetic theory and continuum mechanics theory Fluid mechanics of complex fluids 1.3.3 Geophysics and AstrophysicsGalactic dynamics and gravitational lensing Structure of small-scale flows in Earth's core Behavior of solidifying alloysGroundwater flow and transport in karstic aquifers Physical Oceanography
1.3.4 Methods of applied mathematicsAsymptotic analysisPerturbation theoryBifurcation theoryNonlinear dynamics and chaos
1.3.5 Applications to biologyApplications of topology and geometry to biology, chemistry and medical imaging
Hell - this is a very constrained listing, the list IS endless - it is common sense that math is the basis for continuing technical education and a furthering narrowing and concomitant expertise being developed in a specialty - DEVELOP THAT SPECIALIZATION BASED ON YOUR INTERESTS - work w/counselors or talk with pros (such as the techies at NICO or SAE) to help you define some of your lifes’ interests - then work through the basic steps.
Prove yourself - don't guesstimate - then, Best of Luck raging against the machine -