A course in mathematical analysis
Book Description
édouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.
Volume 1 covers applications to geometry, expansion in series, definite integrals, and derivatives and differentials. Volume 2 explores functions of a complex variable and differential equations. Volume 3 surveys variations of solutions and partial differential equations of the second order and integral equations and calculus of variations.
All volumes are 55/8 x 81/2, hardbound editions.
Volume 1: 1904 ed. Index. 52 figures. 560pp. 0-486-44650-6
Volume 2: 1916 and 1917 eds. Index. 39 figures. 576pp. 0-486-44651-4
Volume 3: 1956 ed. 28 figures. 752pp. 0-486-44652-2
Table Of Content
Derivatives and Differentials
Implicit Functions. Functional Determinants. Change of Variable
Taylor's Series. Elementary Applications. Maxima and Minima
Definite Integrals
Indefinite Integrals
Double Integrals
Multiple Integrals. Integration of Total Differentials
Infinite Series
Power Series. Trigonometric Series
Plane Curves
Skew Curves
Surfaces
Index