This is a self-contained introduction to analysis for students who have had two years of calculus. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, and the construction of harmonic functions on the disc. Other topics discussed include ordinary differential equations, curve integrals, derivatives in vector spaces, multiple integrals, and others. The text aims to achieve a balance between concrete examples and general theorems, augmented by a variety of examples.
- ISBN10 1475726996
- ISBN13 9781475726992
- Publish Date 15 January 2014 (first published 31 December 1983)
- Publish Status Withdrawn
- Out of Print 18 October 2014
- Publish Country US
- Imprint Springer
- Format Paperback (US Trade)
- Pages 660
- Language English