Calculus

REAL ANALYSIS OGTM:NCS P

Name: REAL ANALYSIS OGTM:NCS P
Brand: Academic
SKU: 9780198790433
Price: 8849.00 INR
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ISBN: 9780198790433

Contributor(s): LIU Author Format: Paperback

Paperback · ISBN 9780198790433

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Key Specifications

ISBN	9780198790433
Publisher	Academic
Publication date	October 2016
Language	English
MRP	£63.00 GBP
Page count	320
Item weight	100 g

Real Analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. This concise and friendly book is written for early graduate students of mathematics or of related disciplines hoping to learn the basics of Real Analysis with reasonable ease. The essential role of Real Analysis in the construction of basic function spaces necessary for the application of Functional Analysis in many fields of scientific disciplines is demonstrated with due explanations and illuminating examples.

After the introductory chapter, a compact but precise treatment of general measure and integration is taken up so that readers have an overall view of the simple structure of the general theory before delving into special measures. The universality of the method of outer measure in the construction of measures is emphasized because it provides a unified way of looking for useful regularity properties of measures. The chapter on functions of real variables sits at the core of the book; it treats in detail properties of functions that are not only basic for understanding the general feature of functions but also relevant for the study of those function spaces which are important when application of functional analytical methods is in question. This is then followed naturally by an introductory chapter on basic principles of Functional Analysis which reveals, together with the last two chapters on the space of p-integrable functions and Fourier integral, the intimate interplay between Functional Analysis and Real Analysis. Applications of many of the topics discussed are included to motivate the readers for further related studies; these contain explorations towards probability theory and partial differential equations.

REAL ANALYSIS OGTM:NCS P

Key Specifications

LIU Author

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