"This textbook (Vol. 1 & 2) is a well-written and well illustrated introduction to the mathematics of modern physics. The combination of mathematics and physical applications provides an excellent learning environment for students of physics and for scientists wishing to upgrade their education. This textbook emphasizes the geometric visualization of mathematical equations, and tries to develop in the student an intuitive feel for the mathematics. Overall, this book is a welcomed introduction to the mathematics required in modern physics." La Physique au Canada
"The beauty of the book lies in the examples used to illustrate the mathematical concepts." Roger Waxler, Siam Review
This textbook covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. It uses the 'spiral' method of teaching ñ covering the same topic several times with increasing depth and range of application in order to give the reader an intuitive understanding of the subject.