An Introduction to Mathematical Analysis

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9781842658475: An Introduction to Mathematical Analysis

AN INTRODUCTION TO MATHEMATICAL ANALYSIS is an elementary text on the theory of functions of one real variable and is intended for students with a good understanding of calculus. It is supposed to replace traditional and outmoded courses in mathematical analysis. The book begins with material on the real number system as a Dedekind complete ordered field, continuous functions, sequences and series of constant terms as well as of functions. Pointwise and uniform convergence of series of functions, power series, treatment of trigonometric and exponential functions in terms of series are discussed. A detailed treatment of differentiation, including differentiation of uniform limits of sequences is provided. Also included is an example of a continuous nowhere differentiable function. There is an exhaustive treatment of both Riemann integration and Riemann-Stieltjes integration. Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere on an interval, irrationality of evaluation of without using multiple integration are normally not found in textbooks at this level. There are several illustrative and worked examples, and a large number of problems with solutions (available on a compact disc).

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About the Author:

Satish Shirali.: Formerly of Panjab University, Chandigarh Harkrishan L. Vasudeva.: Indian Institute of Science Education and Research, Mohali

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1.

Satish Shirali, Harkrishan L. Vasudeva
Editorial: Alpha Science International Ltd, United Kingdom (2013)
ISBN 10: 1842658476 ISBN 13: 9781842658475
Nuevos Tapa dura Cantidad: 10
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The Book Depository
(London, Reino Unido)
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Descripción Alpha Science International Ltd, United Kingdom, 2013. Hardback. Estado de conservación: New. Language: English . Brand New Book. AN INTRODUCTION TO MATHEMATICAL ANALYSIS is an elementary text on the theory of functions of one real variable and is intended for students with a good understanding of calculus. It is supposed to replace traditional and outmoded courses in mathematical analysis. The book begins with material on the real number system as a Dedekind complete ordered field, continuous functions, sequences and series of constant terms as well as of functions. Pointwise and uniform convergence of series of functions, power series, treatment of trigonometric and exponential functions in terms of series are discussed. A detailed treatment of differentiation, including differentiation of uniform limits of sequences is provided. Also included is an example of a continuous nowhere differentiable function. There is an exhaustive treatment of both Riemann integration and Riemann-Stieltjes integration. Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere on an interval, irrationality of evaluation of without using multiple integration are normally not found in textbooks at this level. There are several illustrative and worked examples, and a large number of problems with solutions (available on a compact disc). Nº de ref. de la librería AAJ9781842658475

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Satish Shirali, Harkrishan L. Vasudeva
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ISBN 10: 1842658476 ISBN 13: 9781842658475
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Descripción Alpha Science International Ltd 2013-07-08, 2013. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-MAR-00063329

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Shirali, Satish;vasudeva, Harkrishan L.
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Descripción Estado de conservación: New. Nº de ref. de la librería 19979111-n

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Satish Shirali, Harkrishan L. Vasudeva
Editorial: Alpha Science International Ltd, United Kingdom (2013)
ISBN 10: 1842658476 ISBN 13: 9781842658475
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Descripción Alpha Science International Ltd, United Kingdom, 2013. Hardback. Estado de conservación: New. Language: English . Brand New Book. AN INTRODUCTION TO MATHEMATICAL ANALYSIS is an elementary text on the theory of functions of one real variable and is intended for students with a good understanding of calculus. It is supposed to replace traditional and outmoded courses in mathematical analysis. The book begins with material on the real number system as a Dedekind complete ordered field, continuous functions, sequences and series of constant terms as well as of functions. Pointwise and uniform convergence of series of functions, power series, treatment of trigonometric and exponential functions in terms of series are discussed. A detailed treatment of differentiation, including differentiation of uniform limits of sequences is provided. Also included is an example of a continuous nowhere differentiable function. There is an exhaustive treatment of both Riemann integration and Riemann-Stieltjes integration. Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere on an interval, irrationality of evaluation of without using multiple integration are normally not found in textbooks at this level. There are several illustrative and worked examples, and a large number of problems with solutions (available on a compact disc). Nº de ref. de la librería AAJ9781842658475

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Satish Shirali
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ISBN 10: 1842658476 ISBN 13: 9781842658475
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Descripción Alpha Science International Ltd, 2013. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CA-9781842658475

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Vasudeva Harkrishan L. Shirali Satish
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ISBN 10: 1842658476 ISBN 13: 9781842658475
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Descripción Alpha Science International Ltd. Estado de conservación: New. pp. 386. Nº de ref. de la librería 96166144

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Satish Shirali
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Descripción Alpha Science International Ltd. Hardcover. Estado de conservación: New. New copy - Usually dispatched within 2 working days. Nº de ref. de la librería B9781842658475

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Satish, Shirali/ Vasudeva, Harikrishan L.
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Descripción Alpha Science Intl Ltd, 2013. Hardcover. Estado de conservación: Brand New. 1st edition. 386 pages. 9.50x6.25x0.75 inches. In Stock. Nº de ref. de la librería __1842658476

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Satish Shirali; Harkrishan L. Vasudeva
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ISBN 10: 1842658476 ISBN 13: 9781842658475
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Descripción Alpha Science International Ltd, 2013. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M1842658476

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