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AnswerRe: Just dusted off my old maths books Pin
Nelek8-Sep-20 3:08
protectorNelek8-Sep-20 3:08 
AnswerRe: Just dusted off my old maths books Pin
ZurdoDev8-Sep-20 3:33
professionalZurdoDev8-Sep-20 3:33 
GeneralRe: Just dusted off my old maths books Pin
Nelek8-Sep-20 9:25
protectorNelek8-Sep-20 9:25 
GeneralRe: Just dusted off my old maths books Pin
ZurdoDev8-Sep-20 9:26
professionalZurdoDev8-Sep-20 9:26 
GeneralRe: Just dusted off my old maths books Pin
Nelek8-Sep-20 9:28
protectorNelek8-Sep-20 9:28 
AnswerRe: Just dusted off my old maths books Pin
Chris Maunder8-Sep-20 5:31
cofounderChris Maunder8-Sep-20 5:31 
JokeRe: Just dusted off my old maths books Pin
ZurdoDev8-Sep-20 5:33
professionalZurdoDev8-Sep-20 5:33 
GeneralRe: Just dusted off my old maths books Pin
swampwiz7-Sep-20 16:47
swampwiz7-Sep-20 16:47 
This is something that I've been doing in my retirement. What I do is come up with a personal set of notes for any subject, with the complete derivation & proofs of applicability. I have substantially finished notes for Algebra (i.e., regular Algebra, not Abstract Algebra), Linear Algebra, Trigonometry, Analytic Geometry, Geometric Optics & Special Relativity. I happen to be in the middle of Calculus, and to give an idea of how thorough my notes are, I've derived every integral formula that one would find on the inside cover of a Calculus book OMG | :OMG: OMG | :OMG: and have even gone through the epsilon-delta proofs OMG | :OMG: needed to be able to prove that a certain function is continuous (a necessary condition for calculus to work).

I delved into Linear Algebra quite deep, proving that all the stuff that was simply lectured as fact in the typical "Differential Equations & Linear Algebra" course for non-mathematicians, like why the determinant of the product of a pair of matrices is the product of the determinants of those matrices (something that simply wowed me when I learned it) and similarly about rank (and how to determine it) and finally about null space and how it really ties into the eigenvalue problem, and also why & when a matrix can even be diagonalized via eigenvalues, and finally why the mechanical vibration problem works having a pair of matrices instead of just a single one. I studied Mechanical Engineering, and so there is plenty of stuff to review (i.e., at least the advanced "basic physics" engineering science material), etc.

For regular Algebra I was able to grok how Lagrangian resolvents can be used to get formulae for the cubic & quartic polynomials - including an extraordinarily geeky delving into those formulae. WTF | :WTF: I even derived the method of partial fractions, which is used in Calculus, and why it works.

Last but not least, I've even examined isohedra (i.e., all the different shapes that can used in Dungeons & Dragons). There are still a few classes of shapes I need to go through.
GeneralRe: Just dusted off my old maths books Pin
David O'Neil7-Sep-20 17:33
professionalDavid O'Neil7-Sep-20 17:33 
GeneralRe: Just dusted off my old maths books Pin
Chris Maunder8-Sep-20 5:34
cofounderChris Maunder8-Sep-20 5:34 
GeneralRe: Just dusted off my old maths books Pin
ormonds7-Sep-20 19:30
ormonds7-Sep-20 19:30 
GeneralRe: Just dusted off my old maths books Pin
Chris Maunder8-Sep-20 5:36
cofounderChris Maunder8-Sep-20 5:36 
GeneralRe: Just dusted off my old maths books Pin
Daniel Pfeffer7-Sep-20 19:44
professionalDaniel Pfeffer7-Sep-20 19:44 
GeneralRe: Just dusted off my old maths books Pin
jhaga7-Sep-20 19:47
professionaljhaga7-Sep-20 19:47 
GeneralRe: Just dusted off my old maths books Pin
CPallini7-Sep-20 20:33
mveCPallini7-Sep-20 20:33 
GeneralRe: Just dusted off my old maths books Pin
Jörgen Andersson7-Sep-20 20:52
professionalJörgen Andersson7-Sep-20 20:52 
GeneralRe: Just dusted off my old maths books Pin
fd97507-Sep-20 21:32
professionalfd97507-Sep-20 21:32 
GeneralRe: Just dusted off my old maths books Pin
Nelek8-Sep-20 9:33
protectorNelek8-Sep-20 9:33 
GeneralRe: Just dusted off my old maths books Pin
Jörgen Andersson8-Sep-20 21:02
professionalJörgen Andersson8-Sep-20 21:02 
GeneralRe: Just dusted off my old maths books Pin
Nelek9-Sep-20 0:25
protectorNelek9-Sep-20 0:25 
GeneralRe: Just dusted off my old maths books Pin
Amarnath S7-Sep-20 21:19
professionalAmarnath S7-Sep-20 21:19 
GeneralRe: Just dusted off my old maths books Pin
jsc427-Sep-20 22:06
professionaljsc427-Sep-20 22:06 
GeneralRe: Just dusted off my old maths books Pin
BBar28-Sep-20 4:41
BBar28-Sep-20 4:41 
GeneralRe: Just dusted off my old maths books Pin
MikeTheFid8-Sep-20 2:55
MikeTheFid8-Sep-20 2:55 
GeneralRe: Just dusted off my old maths books Pin
dandy728-Sep-20 2:55
dandy728-Sep-20 2:55 

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