This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realizati

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations.

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at