tridianprime
Well-Known Member
Are there any other math enthusiasts here? If so, please post what your favourite topics are, and if relevant, any books you would recommend as i am always looking to expand my mathematics textbook library.
Ill go first. My favourite area is topology and some good books i recommend for people ho want to start learning maths, in order of use, are:
Note: This assumes high school level.
General idea-
"Naive Set Theory"
"What i mathematics?" by Courant
Single Variable Calculus-
"Calculus made easy" by Thompson
"Calculus" by Michael Spivak
Multi Variable Calculus-
"Vector calculus, linear algebra, Nd differential forms" by Hubbard
Linear Algebra-
"Introduction to linear algebra" by Lang
"Linear algebra" by Lang
Differential Equations-
"Ordinary differential equations" by Arnold
"Partial Differential Equations" by Strauss
Real analysis:
"Elementary analysis" by Ross
"Introduction to mathematics analysis" by Rudin
Other:
This is what you want to learn to start and then you can delve into topology by starting with munkres or basic number theory with hardy and then apostol's analytical number theory.
I would note this is for pure mathematics not applied, for which you want to do complex analysis as well.
I id do complex analysis by Ahlfors hut its jot vital
Anyway, i would like to hear from other maths enthusiasts about their ideas and books.
Ill go first. My favourite area is topology and some good books i recommend for people ho want to start learning maths, in order of use, are:
Note: This assumes high school level.
General idea-
"Naive Set Theory"
"What i mathematics?" by Courant
Single Variable Calculus-
"Calculus made easy" by Thompson
"Calculus" by Michael Spivak
Multi Variable Calculus-
"Vector calculus, linear algebra, Nd differential forms" by Hubbard
Linear Algebra-
"Introduction to linear algebra" by Lang
"Linear algebra" by Lang
Differential Equations-
"Ordinary differential equations" by Arnold
"Partial Differential Equations" by Strauss
Real analysis:
"Elementary analysis" by Ross
"Introduction to mathematics analysis" by Rudin
Other:
This is what you want to learn to start and then you can delve into topology by starting with munkres or basic number theory with hardy and then apostol's analytical number theory.
I would note this is for pure mathematics not applied, for which you want to do complex analysis as well.
I id do complex analysis by Ahlfors hut its jot vital
Anyway, i would like to hear from other maths enthusiasts about their ideas and books.