A COURSE IN MATHEMATICS FOR STUDENTS OF PHYSICS

This textbook has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra, and of the calculus of several variables, particularly the exterior calculus.The authors adopt the spiral method of teaching covering the same topic several times at increasing levels of sophistication and range of application. Thus the student develops a deep intuitive understanding of the subject as a whole and an appreciation of the natural progression of ideas.This the second volume, opens with an introduction to algebraic topology, introduced by the analysis of electrical networks or mathematically speaking, the topology of one-dimensional complexes.Chapters 15-18 develop the exterior differential calculus as a continuous version of the discrete theory of complexes. Facts of the exterior calculus are presented