I am interested in learning about Maxwell's Equations but am wondering as to how much math I will need to know in order to understand them
introductory linear algebra in multivar calc from >>7794789 is enough, you don't need a full class in linear algebra
disclaimer: all the info thus far has been so you can have an idea of what they mean and think you can manipulate those. to "really" understand it you would need at least two semesters of analysis. just ignore this if you don't mind having cursory understanding (physicists do this too anyway generally)
>but am wondering as to how much math I will need to know in order to understand them
For the ones in the picture you just need vector calc.
For more generalized versions you will need more advanced math.
For the math you just need fluency in vector calculus and in manipulating derivatives/integrals for utilization. I would pick up a typical vector calc text or multivariable calculus book (depending on how you call them, there really isnt a difference). For the practicality and intuition you must go to an EM book such as Griffiths or any other undergraduate book to read up on their use, properties, intricacies, and for problems relating to them. Once you have managed to gain an understanding, you can try your hand at expanding your knowledge and moving on to the tensor form of Maxwell's equations. I know Griffiths has an ending chapter on these but many other tensor books and even general relativity books possess this info. If you do not have knowledge of vectors just yet, pick up "A Student's Guide to Vectors and Tensors" by Daniel Fleisch (he also has a book on these very equations).
Is this the quaternion conspiracy theory? Or are you saying his physical interpretation of the equations or other remarks were insightful?
I've only looked at it briefly, but at least the equations Maxwell wrote down were, up to trivial changes in notation, the same as the ones we use today. He even came up with the A, B, C, D, E, ... names for the vectors, most of which are still in use.
The idea that Maxwell's original works were stepping stones to a unified theory of physics, and were re-written by Heaviside in a way that discards some useful and fundamental insights that could lead to new discoveries. Questionable.
Dont forget that that gauge transformations are a conspiracy by the oil companies to make us build electric devices such that the electric and magnetic fields cancel each other out, using energy that we could have used. By using a non-symmetric gauge transformation you can build over unity devices, but Heaviside hid this from us.
They published 3 books full of papers totaling about 3000 pages called 'Modern Nonlinear Optics'
Some more from tom
>Two Nobel prizes were awarded in 1957 to Lee and Yang for substantiating the extraction process for this energy
>H 282 - Physics for Science & Engineering II
Credit Hours: 4.5
A calculus-based introduction to electricity and magnetism. Topics include electric field, Gauss’s law, electric potential, capacitance, current and resistance, DC circuits, magnetic field, Faraday’s law, inductance, RC and RL circuits, EM oscillations, alternating currents, Maxwell’s equations and electromagnetic waves.
please b8 better like the guy that called pluto photo
Those of us that have been through university physics programs know the difference between general calculus based physics and pic related.