Budak B.M., Fomin S.V. Multiple Integrals, Field Theory and Series

Trans. from the russian by V.M. Volosov. — Moscow: Mir, 1978. — 637 p.University textbook of advanced calculus. The book covers branches of mathematics increasingly required by physicists, such as multiple, line and improper integrals, the theory of fields, and power and trigonometric series. Based on lectures read by the authors in the physics faculty of Moscow University, the book endeavours to show the connection between the various mathematical concepts and their applications, and wherever possible their physical sense as well.Double integrals
Triple integrals and multiple integrals of higher order
Elements of differential geometry
Line integrals
Surface integrals
Field theory
Tensors
Functional sequences and series
Improper integrals
Integrals dependent on parameter