3 ms·

Which book is this? I believe reading the original masters who came up with the discoveries is the way to understanding. It is said that when the Great Mathemat

Which book is this? I believe reading the original masters who came up with the discoveries is the way to understanding. It is said that when the Great Mathematician Gauss was asked as to how he made his discoveries, replied; "By studying the Masters and not their Students". There is something about the process of trial and error, testing various hypothesis', going down dead ends and then doubling back and finally lighting upon the answer which clarifies and provides intuitive understanding that can only be conveyed by the person who went through the experience i.e. The Discoverer himself. Everybody else is just parroting the end results without understanding (there are always a few exceptions of course).

severine 7y ago
I'm guessing this: https://en.wikipedia.org/wiki/A_Treatise_on_Electricity_and_Magnetism https://en.wikipedia.org/wiki/A_Treatise_on_Electricity_and_...
- rramadass 7y ago
  I am thinking this: https://en.wikipedia.org/wiki/A_Dynamical_Theory_of_the_Electromagnetic_Field https://en.wikipedia.org/wiki/A_Dynamical_Theory_of_the_Elec... :-)
scoobyyabbadoo 7y ago
>Which book is this? I believe reading the original masters who came up with the discoveries is the way to understanding. I agree. There is a great book series: Great Books of the Western World, that accumulates all the fundental texts written by subject area founders. They are green bound tomes. There is also a homeschooling curriculum built on using them, I am jealous of anyone who received such a great education growing up.
DoctorOetker 7y ago
severine is correct: it is in A Treatise on Electricity and Magnetism, which can be had free of charge from the Internet Archive. vol I https://archive.org/details/electricandmagne01maxwrich https://archive.org/details/electricandmagne01maxwrich vol II https://archive.org/details/electricandmag02maxwrich https://archive.org/details/electricandmag02maxwrich The relevant section is in the preliminaries in Vol I : I assume you already know electromagnetism, I suggest jumping to pdf pages 52 "on potentials" and reading till 57. No modern textbook will explicitly introduce such an assumption, instead modern textbooks assume the student has been indoctrinated with cartesian product spaces i.e. R^3 etc. Such students would have seen in prior analysis courses that the line integral of the gradient of a scalar function does not depent on the path [... in R^n!]. So if curricula and students implicitly and a priori exclude spaces other than R^n, then no student will protest that for example the line integral of the electric field between 2 points could depend on the exact path, making all subsequent math and theorems more tractable, at the "small price" of a priori excluding the (arguably) confusing possibilities of handles (if you are a mathematiciann), wormholes (if your a physicist). Maxwell on the contrary refuses compromise on investigative accuracy to "ease the job of didactics", theres many examples of that throughout the treatise.

severine 7y ago

I'm guessing this: https://en.wikipedia.org/wiki/A_Treatise_on_Electricity_and_Magnetism https://en.wikipedia.org/wiki/A_Treatise_on_Electricity_and_...

rramadass 7y ago
I am thinking this: https://en.wikipedia.org/wiki/A_Dynamical_Theory_of_the_Electromagnetic_Field https://en.wikipedia.org/wiki/A_Dynamical_Theory_of_the_Elec... :-)

scoobyyabbadoo 7y ago

>Which book is this? I believe reading the original masters who came up with the discoveries is the way to understanding. I agree. There is a great book series: Great Books of the Western World, that accumulates all the fundental texts written by subject area founders. They are green bound tomes. There is also a homeschooling curriculum built on using them, I am jealous of anyone who received such a great education growing up.

DoctorOetker 7y ago

severine is correct: it is in A Treatise on Electricity and Magnetism, which can be had free of charge from the Internet Archive. vol I https://archive.org/details/electricandmagne01maxwrich https://archive.org/details/electricandmagne01maxwrich vol II https://archive.org/details/electricandmag02maxwrich https://archive.org/details/electricandmag02maxwrich The relevant section is in the preliminaries in Vol I : I assume you already know electromagnetism, I suggest jumping to pdf pages 52 "on potentials" and reading till 57. No modern textbook will explicitly introduce such an assumption, instead modern textbooks assume the student has been indoctrinated with cartesian product spaces i.e. R^3 etc. Such students would have seen in prior analysis courses that the line integral of the gradient of a scalar function does not depent on the path [... in R^n!]. So if curricula and students implicitly and a priori exclude spaces other than R^n, then no student will protest that for example the line integral of the electric field between 2 points could depend on the exact path, making all subsequent math and theorems more tractable, at the "small price" of a priori excluding the (arguably) confusing possibilities of handles (if you are a mathematiciann), wormholes (if your a physicist). Maxwell on the contrary refuses compromise on investigative accuracy to "ease the job of didactics", theres many examples of that throughout the treatise.