The Book Is Intended To Serve As A Text In Analysis By The Honours And Post-Graduate Students Of The Various Universities. Professional Or Those Preparing For Competitive Examinations Will Also Find This Book Useful.The Book Discusses The Theory From Its Very Beginning. The Foundations Have Been Laid Very Carefully And The Treatment Is Rigorous And On Modem Lines.

I m thankful to the author and the publisher for such good book which catered the needs all the time. Differentials of Higher Order.

Theory and Applications - Second Edition. Carothers Limited preview - Uploader: Date Added: 14 August 2009 File Size: 55.55 Mb Operating Systems: Windows NT/2000/XP/2003/2003/7/8/10 MacOS 10/X Downloads: 25079 Price: Free* [ *Free Regsitration Required] Properties of Uniformly Convergent Sequences and Series. Audible Download Audio Books. See all free Kindle reading apps. If you are a seller for this product, would you like to suggest updates through seller support? Stationary Values under Subsidiary Conditions.

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Partial Derivatives of Higher Order. Read, highlight, and take notes, across web, tablet, and phone. Lagranges Mean Value Theorem. Intervals Other Than n it. Visit our Help Pages. I m thankful to the author and the publisher for such good book which catered the needs all the time. As per need, in the present set up, a chapter on Metric Spaces discussing completeness, compactness and connectedness of the spaces has been added.

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This book is intended to serve as a text in mathematical analysis for undergraduate and postgraduate students. It opens with a brief outline of the essential properties of rational numbers using Dedekind's cut, and the properties of real numbers are established. This foundation supports the subsequent chapters.

The material of some of topics-real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, Lebesgue integrals, line and surface Integrals, double and triple integrals are discussed in details. Uniform convergence, Power series, Fourier series, and Improper integrals have been presented in a simple and lucid manner. A large number of solved examples taken mostly from lecture notes make the book useful for the students. A chapter on Metric Spaces discussing completeness, compactness and connectedness of the spaces and two appendices discussing Beta-Gamma functions and Cantor's theory of real numbers add glory to the contents of the book.