Everything You Need to Know about Mathematics for Science and Engineering
Updated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers. Starting from the basic concepts of trigonometry, the book covers calculus, differential equations, and vector calculus. A new chapter on applications discusses how we see objects "mathematically" with the eye, how quantum mechanics works, and more.
A Convenient, Student-Friendly Format Rich with Diagrams and Clear Explanations
The book presents essential mathematics ideas from basic to advanced level in a way that is useful to both students and practicing professionals. It offers a unique and educational approach that is the signature style of the author’s companion books. The author explains mathematical concepts clearly, concisely, and visually, illustrating how scientists use the language of mathematics to describe and communicate physical principles.
Be sure to check out the author’s other companion books:
Table of Contents
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.
"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, 2015
Praise 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