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Principles of Real Analysis (4th Edition)

Original price was: ₹375.00.Current price is: ₹355.00.

Author | Publisher | Cover | Genre | ISBN | S C Malik |New Age International Publishers | PaperPack | Mathematics | 9789390000000

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SKU: 1014560 Category:

The book is intended to serve as a textbook for a course in Real Analysis for honours and postgraduate students of Indian universities. It is also meant for engineering students and other professionals as well as competitive examinations.

The book discusses the theory from its very beginning. The foundations have been laid very carefully and the treatment is rigorous and on modern lines. It starts with a quick review of the essential properties of rational numbers and using Dedekind’s form, the properties for real numbers are established. This foundation supports the subsequent chapters-topological framework; sequences and series; continuity; differentiation; extreme values; indeterminate forms; elementary functions. The Riemann integration is treated full. Finally, it deals with Riemann-Stieltjes integrals; functions of several variables; implicit functions; Jacobians and the method of Lagrange’s multipliers for extreme values of functions with subsidiary conditions. The material on functions of two-variables has been given with more details and more examples. An appendix has also been given on Cantor’s theory of the construction of real numbers to make the book more useful. The salient feature of the book is that a large number of well graded examples have been given and some of them have been solved for the benefit of the readers.

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The book is intended to serve as a textbook for a course in Real Analysis for honours and postgraduate students of Indian universities. It is also meant for engineering students and other professionals as well as competitive examinations.

The book discusses the theory from its very beginning. The foundations have been laid very carefully and the treatment is rigorous and on modern lines. It starts with a quick review of the essential properties of rational numbers and using Dedekind’s form, the properties for real numbers are established. This foundation supports the subsequent chapters-topological framework; sequences and series; continuity; differentiation; extreme values; indeterminate forms; elementary functions. The Riemann integration is treated full. Finally, it deals with Riemann-Stieltjes integrals; functions of several variables; implicit functions; Jacobians and the method of Lagrange’s multipliers for extreme values of functions with subsidiary conditions. The material on functions of two-variables has been given with more details and more examples. An appendix has also been given on Cantor’s theory of the construction of real numbers to make the book more useful. The salient feature of the book is that a large number of well graded examples have been given and some of them have been solved for the benefit of the readers.

Reviews

There are no reviews yet.

Be the first to review “Principles of Real Analysis (4th Edition)”

Your email address will not be published. Required fields are marked *

Shipping

Shipping rates are calculated at checkout based on your shipping address and the weight of your order. Please allow a processing time of 2 business days before your shipment is dispatched

Delivery

Expected time taken to dispatch the items is given against each product on the respective product details page. While we will try our best to dispatch products as soon as possible however in unusual circumstances the delivery of the products may take up to 7-15 days approx as per local guidelines.

In the unlikely event that we are not able to deliver your order completely, we shall cancel the remaining undelivered part of the order, and send an email to you informing about the same. In such cases, your payment against the undelivered part of the order shall be refunded, in the manner the payment was made

If your order has multiple items, these may ship from different locations in separate shipments. You will receive an email if the shipment does not contain all the items that you had ordered.

We work hard to ensure that we meet our delivery estimates, but occasionally there may be delays that are beyond our control. In such cases, we will do our best to keep you informed and provide you with the latest updates on your order delivery status.