# The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition

## Book Preface

Scientists use the language of mathematics to both describe and communicate physical principles. A significant portion of the content of university science degrees, particularly in physics, is therefore devoted to the study of mathematics. In most cases, mathematics in such courses is taught by mathematicians with the result that science students are taught as if they were mathematics majors. It is not surprising perhaps, therefore, to find that the pass rate for students in science courses in mathematics subjects is usually much lower than that for their other subjects.

This book has been written by a physicist. The book is intended to serve two purposes: (i) to provide a useful learning aid for science students by providing an alternative point of view to the students by providing an alternative point of view to the recommended text for any particular course or subject in mathematics, and (ii) to serve as a handy reference for the professional physicist who just wants to refresh his knowledge, or find an equation or method of solution without having to wade through a formal mathematics text.

My own experience as a student learning mathematics was rather poor, mainly due to the enormous number of side issues, caveats, phrases such as “clearly” and “it can be shown,” etc., that seemed to get in the way of any enjoyment of the subject. In this book, I have written what I believe is the essential core of mathematical have written what I believe is the essential core of mathematical principles needed for a useful knowledge of the subject. I hope that you will find the book useful and that it imparts a sense of beauty and wonder at this extraordinary field of human endeavour.

Finally, I thank John Navas for his sponsorship of the first edition and Francesca McGowan at Taylor & Francis for her continued support for this second edition.

Tony Fischer-Cripps,

Kill H i ht A t li Killarney Heights, Australia

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October 24, 2021 |

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