Practical Analysis in One Variable

By:

Donald Estep

Format:

Hardback

Series:

Undergraduate Texts in Mathematics

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Description

This book attempts to place 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. The book can be used in an honor calculus sequence typically taken by freshmen planning to major in engineering, mathematics, and science, or in an introductory course in rigorous real analysis offered to mathematics majors. Students who work through the proofs and solve the practical problems in this book will develop a "hands-on" understanding of analysis that will serve them well in the future.

Release date NZ

October 1st, 2002

Author

Donald Estep

Audiences

General (US: Trade)
Undergraduate

Illustrations

XX, 623 p.

Pages

623

Series

Undergraduate Texts in Mathematics

Dimensions

156x234x34

ISBN-13

9780387954844

Product ID

5810698

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