- #1
Jimmy84
- 191
- 0
Im finishing my first year majoring in physics and I am interested in persuing a master in mathematical physics, however I don't live in a a place where educations is standar, the math level that I am been taught is very poor.
In calculus the teacher tries to avoid proving theorems in anyway, he attempt geometric interpretations instead. people over here never learn anything about proofs, set theory or where does mathematical concepts come from, which is frustrating.
In latter levels we are going to have very soft classes about linear algebra, differential equations and there are not even courses about analysis or multivariable calculus, but he would teach us those subjects really fast in the middle of other courses, the last subject we would see would be a soft introduction to matematical physics, some calculus of variation but "no functional analysis". relativity, quantum mechanics and particle physics are optional subjects.
Anyway I d like to self study math since education over here is not good enough at all in order to have a good preparation for a masters degree, but I have problems in making progress with rigurous books about mathematics.
I tried self studying spivak with the little time I have free, though it seems impossible. I am trying to get the solution manual of spivaks calculus to see if that can help me to speed up.
Eventually I am looking forward to read some apostol and Loomis Sternberg advanced calculus, but the later book dosent even has the answers on the end of the book, and therefore it is imposible to use it to teach oneself. How does mathematicians get throught books like these which have no answer on the end, is there any solution manual for Loomis Sternbergs book?
The worst is that I cannot even hire a tutor because the math faculty has few students and my guess is that they won't be totaly able to tutor me on books like Spivak or Loomis Sternberg. I heard they used Rudins in classes about analysis though.
How can I get my way through self studying Spivak and specially through Loomis Sternberg since it has no solutions at all? any suggestion?
Thanks
In calculus the teacher tries to avoid proving theorems in anyway, he attempt geometric interpretations instead. people over here never learn anything about proofs, set theory or where does mathematical concepts come from, which is frustrating.
In latter levels we are going to have very soft classes about linear algebra, differential equations and there are not even courses about analysis or multivariable calculus, but he would teach us those subjects really fast in the middle of other courses, the last subject we would see would be a soft introduction to matematical physics, some calculus of variation but "no functional analysis". relativity, quantum mechanics and particle physics are optional subjects.
Anyway I d like to self study math since education over here is not good enough at all in order to have a good preparation for a masters degree, but I have problems in making progress with rigurous books about mathematics.
I tried self studying spivak with the little time I have free, though it seems impossible. I am trying to get the solution manual of spivaks calculus to see if that can help me to speed up.
Eventually I am looking forward to read some apostol and Loomis Sternberg advanced calculus, but the later book dosent even has the answers on the end of the book, and therefore it is imposible to use it to teach oneself. How does mathematicians get throught books like these which have no answer on the end, is there any solution manual for Loomis Sternbergs book?
The worst is that I cannot even hire a tutor because the math faculty has few students and my guess is that they won't be totaly able to tutor me on books like Spivak or Loomis Sternberg. I heard they used Rudins in classes about analysis though.
How can I get my way through self studying Spivak and specially through Loomis Sternberg since it has no solutions at all? any suggestion?
Thanks