Blog-O-Sphere Think Tank group · Posts associated with groups

December’s topic asks: What would you really like to learn?

Maths

Super, crazy, high-octante, MATHS

Maths allowing me to express my concepts on reality, otherworldly dimensions and black holes.

It’s a thing. A skill set I do not own. So, you may well ask- what maths are you in need of to hold the title,  Theoretical Physicist?

There’s an online guide to the mathematics necessary in studying physics. I discovered it several months ago when pounding my head against a wall (figuratively) desiring a means to articulate my thoughts. It comes from Super String Theory and I clearly have a long way to go, but I am working on it!! 😉 Here’s the list to work through.

Algebra

Geometry

Trigonometry

Calculus (single variable)

Calculus (multivariable)

Analytic Geometry

Linear Algebra

Ordinary Differential Equations & the Harmonic Oscillator (I do these all the time while riding my bike)

Partial Differential Equations

Methods of approximation

Probability and statistics

That’s not all! Then we have to work out- Real analysis (versus false, I suppose), Complex analysis, Group theory, Differential geometry, Lie groups, Differential forms, Homology, Cohomology, Homotopy (donut holes anyone?), Fiber bundles (not the ones your cat plays with!), Character classes, Index theorems, Supersymmetry and supergravity!

Imagine a clock that will keep perfect time forever or a device that opens new dimensions.
Imagine a clock that will keep perfect time forever or a device that opens new dimensions.

The mathematics behind supersymmetry apparently starts with two concepts: graded Lie algebras, and Grassmann numbers. A graded algebra is one that uses both commutation and anti-commutation relations. Grassmann numbers are anti-commuting numbers, so that x times y = –y times x. The mathematical technology needed to work in supersymmetry includes an understanding of graded Lie algebras, spinors in arbitrary spacetime dimensions, covariant derivatives of spinors, torsion, Killing spinors, and Grassmann multiplication, derivation and integration, and Kähler potentials. (excerpt from Superstringtheory’s website)

K-theory

Noncommutative geometry- ok admittedly I first read, non-communicative and thought, I can totally relate to that! HA!

Meanwhile, I’m cutting out some Erwin Schrödinger snowflakes! Thank you, Symmetry MagazineSnowflakeSchrodinger2

 

Thanks for stopping by! Check out what other Blog-O-sphere peeps are looking to learn. 🙂

Andes Cruz:  http://andescruz.wordpress.com

Kathleen Krucoff:  http://kathleenkrucoff.wordpress.com/

Catherine Witherell:  http://happydayart.typepad.com

Pallavi Gandhi: http://studioat605.wordpress.com/

5 thoughts on “December’s topic asks: What would you really like to learn?

  1. DAMN, girl! Crazy but awesome plan 😀 These interest me, but I lack the desire to focus on that kind of thing, I don’t like math, but I *Can* do it if I have to. 😉

    1. Yeah. The first grouping I learned in Middle-school and High school the last group/list of math- nope.
      My brain actually hurts reading K-theory LOL
      🙂

      We’ll see.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s