Advanced Calculus Challenge
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Questions and Answers

What is the aim of this textbook?

The aim of this textbook is to provide a development of the subject which is honest, rigorous, up to date, and, at the same time, not too pedantic.

What does the second edition of the textbook include?

The second edition includes the development of point set topology in the setting of general metric spaces, Lebesgue integration, rearranged chapters, rewritten sections, and new exercises.

What topics does this textbook cover?

This textbook covers topics in analysis at the 'Advanced Calculus' level, including real and complex function theory, abstract thinking, and Lebesgue integration.

What approach does the development of Lebesgue integration follow?

<p>The development of Lebesgue integration follows the Riesz-Nagy approach.</p> Signup and view all the answers

What topics have been removed from the second edition of the textbook?

<p>The material on line integrals, vector analysis, and surface integrals has been deleted.</p> Signup and view all the answers

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