Mathematics Companion

"The book summarizes basic notions of mathematical methods for physicists and engineers in a schematic way. It is aimed both at science students and physicists who need a quick handy reference when they have to solve a specific mathematical problem."—Applications of Mathematics, 60, 2015Praise for the First Edition:"This is an interesting and useful little book … .it is very well done, and everything that might be expected to be there is there … . The book might also be invaluable for those undergraduate students in Mathematics, Science, or Engineering, who need to undertake first- and second-year courses in Mathematics, and it will serve those who wish to have quick access to all those formulae that seem to be so readily forgotten."—Australian Physics, March/April 2006

• Part 1 Essential Mathematics: Basic mathematics. Differentiation. Integration. Exponentials and logarithms. Hyperbolic functions. Infinite series. Part 2 Advance Mathematics: Ordinary differential equations. Laplace transforms. Vector analysis. Partial derivatives. Multiple integrals. Fourier series. Special functions. Partial differential equations.