This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. It updates the leading graduate-level text in mathematical physics. It provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering. It focuses on problem-solving skills and offers a vast array of exercises. It clearly illustrates and proves mathematical relations. New in the Sixth Edition are features such as: updated content throughout, based on users' feedback; more advanced sections, including differential forms and the elegant forms of Maxwell's equations; a new chapter on probability and statistics; and more elementary sections have been deleted.