This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book.

The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.

About the Author

Giampaolo Cicogna worked at the University of Pisa in Italy from 1966 to 2012, as Assistant Professor of Geometry for Physicists and of Complementary Mathematics for Engineers (1966–80) and as Associated Professor of Mathematical Methods of Physics (1967–2012). He joined the university’s staff shortly after graduating in Physics "magna cum laude" from the Department of Physics of Pisa University in 1964. He worked as a collaborator with the Italian National Institute for Nuclear Physics (INFN) until 2015. Following his retirement, he continues to collaborate in research and didactic activities. Author of more than 120 publications in international scientific journals, mainly addressing the mathematical aspects (with special emphasis on the role of symmetries) of several fields of physics, he has acted as a referee for various journals and as a reviewer for academic and research institutions and for CINECA, a nonprofit consortium comprising Italian universities and theItalian Ministry of Education, Universities and Research (MIUR).

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