Following the style of The Physics Companion and The Electronics Companion, this book is a revision aid and study guide for undergraduate students in physics and engineering. It consists of a series of one-page-per-topic descriptions of the key concepts covered in a typical first-year "mathematics for physics" course. The emphasis is placed on relating the mathematical principles being introduced to real-life physical problems. In common with the other companions, there is strong use of figures throughout to help in understanding of the concepts under consideration. The book will be an essential reference and revision guide, particularly for those students who do not have a strong background in mathematics when beginning their degree.
Table of Contents
ESSENTIAL MATHEMATICS Basic Mathematics Differentiation Integration Exponentials and Logarithms Hyperbolic Functions Infinite Series ADVANCED MATHEMATICS Ordinary Differential Equations Laplace Transforms Vector Analysis Partial Derivatives Multiple Integrals Fourier Series Special Functions Partial Differential Equations
"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." -J M Hill, Australian Physics, Vol. 43, No. 1, March/April 2006