This textbook is a comprehensive introduction to the key disciplines of mathematics - linear
algebra calculus and geometry - needed in the undergraduate physics curriculum. Its leitmotiv
is that success in learning these subjects depends on a good balance between theory and
practice. Reflecting this belief mathematical foundations are explained in pedagogical depth
and computational methods are introduced from a physicist's perspective and in a timely manner.
This original approach presents concepts and methods as inseparable entities facilitating
in-depth understanding and making even advanced mathematics tangible. The book guides the
reader from high-school level to advanced subjects such as tensor algebra complex functions
and differential geometry. It contains numerous worked examples info sections providing
context biographical boxes several detailed case studies over 300 problems and fully worked
solutions for all odd-numbered problems. An online solutions manual for all even-numbered
problems will be made available to instructors.
