Maxwell's Equations

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Anonymous

Maxwell's Equations 2016-01-19 05:07:33 Post No. 7794782

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Maxwell's Equations 2016-01-19 05:07:33 Post No. 7794782

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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

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>>7794782

Vector calculus and it's prerequisites.

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>>7794782

Vector Calculus and Linear Algebra

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>>7794782

http://ocw.mit.edu/courses/ocw-scholar/

Single var calc, then physics I, then multivar calc, then physics II. The final topic of physics II is Maxwell's equations and light waves.

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>>7794789

Thanks man

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>>7794789

>He thinks Physics II is E&M

laughingwhores.jpeg

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>>7794792

Hubbard and Hubbard's Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach

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>>7794792

>vector calculus

Div, grad, curl and all that

>Linear algebra

Linear algebra done right. It's mathematical rigours and might be a bit of a challenge.

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>>7794792

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)

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>>7794802

WALTER LEWIN NEVER WORKED FOR MIT, WALTER LEWIN WAS NEVER AFFILIATED WITH MIT. PLEASE CONTINUE WITH YOUR DAY, CITIZEN.

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>>7794782

>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.

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Aight thanks everyone I really appreacite the help

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>>7794782

Make sure to read Maxwell's actual original writings first, they are substantially different from what is taught in universities today.

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>>7794842

why the hell would you read maxwell's actual original writings?

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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).

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>>7794802

There's a thread on /t/ with all his lectures in case you still want them.

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>>7794847

Why wouldn't you? Don't you want to learn about physics? Or do you just want to pass your classes?

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>>7794842

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.

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>>7794885

Useful insight. I find it much more enlightening to read the writings of the greats than to read textbooks aimed at churning through exercises.

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>>7794885

>Is this the quaternion conspiracy theory?

What's that?

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>>7794908

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.

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>>7794921

>Questionable

That's being generous.

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>>7794921

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.

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>>7795043

No one really believes this, right?

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>>7795049

People who believe in perpetual motion machines do.

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>>7795049

They published 3 books full of papers totaling about 3000 pages called 'Modern Nonlinear Optics'

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>>7795155

Christ alive.

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>>7795155

Some more from tom

http://www.cheniere.org/

>Two Nobel prizes were awarded in 1957 to Lee and Yang for substantiating the extraction process for this energy

http://www.cheniere.org/misc/flaws_in_classical_em_theory.htm

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>>7794795

>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

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>>7795187

Those of us that have been through university physics programs know the difference between general calculus based physics and pic related.

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>>7795155

wew lad

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>>7795155

kek

Fucking engineers man

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>>7797538

Actually Heaviside was the engineer and they are the ones keeping us tied to reality, mathematical physicists are the ones trying to turn physics into a cult.

>muh innate beauty!

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>>7796796

>Griffiths

Stop unironically posting that cancer.

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2+2+2= 222 Trips bb

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>>7797557

Bearden is an engineer though

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>>7794782

How can a theory this elegant be this much of a pain to study? It's boring and tedious.

.t person with EM exam coming up in 2 days

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