Real Analysis through Modern Infinitesimals (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	February 2011
First published:	April 2011
Authors:	Nader Vakil (Professor)
Dimensions:	234 x 156 x 32mm (L x W x T)
Format:	Hardcover
Pages:	586
ISBN-13:	978-1-107-00202-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Promotions
LSN:	1-107-00202-8
Barcode:	9781107002029

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!