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by Edouard Goursat,Earle Raymond Hedrick
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ISBN: 0486446506 Dover Publications Price: $85.00 |
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Classic three-volume study. 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.
Table of Contents for A Course in Mathematical Analysis Volume 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry
| 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 |