# Books/Publication written by famous physicists/mathematicians

by Biloon
Tags: books or publication, famous
 P: 4 I want to find books or published articles authored by famous physicists or mathematicians. This is not because I'm any fan of them, but from my experience, I gained deep understanding by reading math or physics from the one who actually invented it. My plan is to rebuild my math/physics basis from ground up, because I think even university textbooks nowadays omitted many important contents. So basically, my math topics that I want to learnt would be, but not only: calculus, diff equation, linear algebra, (maybe even in-depth trigonometry). While my physics topics would be from classical mechanic to electricity to quantum mechanic I found an introduction to calculus book by L. Euler, which I believe, the most fruitful calculus textbook I've ever read. It is incomparable with modern calculus textbook. So if there's something like books or publications from famous physicist or mathematicians. I think some publications are available online for free (I've found some of Euler's articles online)
 HW Helper Sci Advisor P: 9,371 eulers elements of algebra is also the best beginning algebra book. if you read that, solving cubic equations will seems almost as simple to you as solving quadratics. i.e. a cubic x^3 = fx + g is solved by writing it as f = 3ab, g = a^3+b^3 for some a,b. Then x = a+b solves the cubic. But knowing f,g means we know both a^3+b^3 = g, and a^3b^3 = f^3/27. Since e know the sum and prioduct of a^3 and b^3, we can find these cubes by solving a quadratic, namely t^2 - gt + f^3/27 = 0. Then we get three values of a, by taking cube roots and b = f/3a. e.g. solve x^3 = 15x + 126. the quadratic is t^2 - 126t + 125 = 0, so we get a^3 = 1, or 15. Then a = any cube root of 1, like a = 1. so b = 5, and x = 1+5 = 6. try x^3 = 18x + 35.
 P: 1 By using the same cubic equation: x^3 = 15x + 126 how would I find a root by making the substitution x = y + 5/y?