Practical Analysis in One Variable

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  • Practical Analysis in One Variable Book Detail

  • Author : Donald Estep
  • Release Date : 2006-04-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 621
  • ISBN 13 : 0387226443
  • File Size : 79,79 MB

Practical Analysis in One Variable by Donald Estep PDF Summary

Book Description: 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.

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