What type of math is needed for theoretical physics?

A strong mastery of basic high-school level algebra, trigonometry, analytic and synthetic geometry, and single-variable calculus is required at the very least if one wishes to do serious research in the physical sciences.

How much math does a physicist know?

I’ve found that the math that every physicist must know is generally what is covered in two semesters of single-variable calculus, one semester of multivariable calculus, and one semester of differental equations/linear algebra. Differential geometry and (especially) complex analysis are also helpful for physicists.

Are there any good books on mathematics for a theoretical physicist?

Yes. There are many good books in physics which are geared towards mathematicians, although these usually assume very good command over mathematics. Another piece of advice – if you want to become a professional theoretical physicist, you’ll need a great deal of depth of thought in certain areas of physics.

Is theoretical physics relevant in today’s World?

Theoretical Physics is like a sky scraper. It has solid foundations in elementary mathematics and notions of classical (pre-20th century) physics. Don’t think that pre-20th century physics is “irrelevant” since now we have so much more.

What is Theoretical Physics Academy?

It is presently set up only for those who wish to become theoretical physicists, not just ordinary ones, but the very best, those who are fully determined to earn their own Nobel Prize.

Is there such thing as a pure mathematician without a PhD?

In my world, there is no such thing as a pure mathematician without some equivalent of a PhD in mathematics, and the same goes for theoretical physics. Usually, “equivalent of” could be dropped, but there are some geniuses who can conduct PhD level research in mathematics as youngsters.