N. PISKUNOV differential and intégral calculus y o MIR PUBLISHERS ■ MOSCOW ABOUT THE BOOK Textbook by the late Prof. Niko- lai Piskunov, D.Sc. (Phys, and Math.), is devoted to the most important divisions of higher mathematics. This édition, revised and enlarged, is published in two volumes, the first volume dealing with the following topics: Num- ber, Variable, Function, Limit, Continuity of a Function, Dériva­ tive and Differential, Certain Theorems on Différentiable Func- tions, The Curvature of a Curve, Complex Numbers, Polynomial s, Functions of Several Variables, Applications of Differential Cal- culus to Solid Geometry, The Indéfini te Intégral, The Defini te Intégral, Géométrie and Mechanical Applications of the Definite Intégral. There are nu mérous examples and problems in each section of the course; many of them demonstrate the ties between mathematics and other sciences, making the book a useful aid for self-study. This is a textbook for higher technical schools that has gone through several éditions in Rus- sian and also heen translated into French and Spanish. H. C. nHCKYHOB ÆHOOEPEHUHAJIbHOE H HHTErPAJIbHOE HCHHCJIEHHfl TOM I H3HATEJlbCTBO «HAYKA» MOCKBA N. PISKUNOV DIFFERENTIAL AND INTEGRAL CALCULUS VOL. I. Translatée! from the Russian by George Yankovsky MI R PUBLISHERS MOSCOW First published 1964 Second printing 1966 Third printing 1969 Second édition 1974 Fourth printing 1981 Ha ühzauückom H3bute © Englisli translation, Mir Publishers, 1974