eBook - PDF

Real Analysis through Modern Infinitesimals

Name: Real Analysis through Modern Infinitesimals
Author: Nader Vakil

Nader Vakil,

English
PDF
Available on iOS & Android

eBook - PDF

Real Analysis through Modern Infinitesimals

Nader Vakil,

About this book

Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the book provides a careful development of this theory representing each external class as a proper class. This foundational discussion, which is presented in the first two chapters, includes an account of the basic internal and external properties of the real number system as an entity within IST. In its remaining fourteen chapters, the book explores the consequences of the perspective offered by IST as a wide range of real analysis topics are surveyed. The topics thus developed begin with those usually discussed in an advanced undergraduate analysis course and gradually move to topics that are suitable for more advanced readers. This book may be used for reference, self-study, and as a source for advanced undergraduate or graduate courses.

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Yes, you can access Real Analysis through Modern Infinitesimals by Nader Vakil in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.