Real Analysis

An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers
 
Edition number: 1
Publisher: Chapman and Hall
Date of Publication:
 
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Short description:

This is a classical Real Analysis/Calculus problem book. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike.

Long description:

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike.

Features



  • Hundreds of problems and solutions



  • Can be used as a stand-alone problem book, or in conjunction with the author?s textbook, Real Analysis: An Undergraduate Textbook for Mathematicians, Applied Scientists, and Engineers, ISBN 9781032481487

  • Perfect resource for undergraduate students studying a first course in Calculus or Real Analysis



  • Contains explanatory figures, detailed techniques, tricks, hints, and ?recipes? on how to proceed once we have a calculus problem in front of us.

Table of Contents:

1. The Field of Real Numbers. 2. The Field of Complex Numbers. 3. Sequences of Real Numbers. Convergence. 4. Continuous Functions. 5. Differentiable Functions. 6. Riemann Integral. 7. Numerical Series. 8. Power Series. Function Sequences and Series.