This text places the basic ideas of real analysis and numerical analysis together in an applied setting that is both accessible and motivational to young students. The essentials of real analysis are presented in the context of a fundamental problem of applied mathematics, which is to approximate the solution of a physical model. The framework of existence, uniqueness, and methods to approximate solutions of model equations is sufficiently broad to introduce and motivate all the basic ideas of real analysis. The book includes background and review material, numerous examples, visualizations and alternate explanations of some key ideas, and a variety of exercises ranging from simple computations to analysis and estimates to computations on a computer.
- ISBN10 0387226443
- ISBN13 9780387226446
- Publish Date 14 May 2014 (first published 1 October 2002)
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Format eBook
- Pages 642
- Language English