Synopsis
The book has been made more illustrative and self-contained so as to cater to the need of students and teachers at graduate and postgraduate level. It is also meant for engineering students and other professionals as well as competitive examinations. To reinforce and solidify the understanding, some of the chapters have been rearranged and several new exercises and solved examples have been incorporated. The section on limits inferior and superior of sequences is introduced and discussed in detail. Every care has been taken to explain and elucidate the different concepts so as to provide conceptual clarity to the readers.
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About the Author
The author was a Senior Lecturer in the Dept of Mathematics, SGTB Khalsa College, University of Delhi, India. He has taught undergraduate and graduate courses for more than three decades.
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Principles of Real Analysis
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Principles of Real Analysis (Paperback)
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New Age International (UK) Ltd, 2018
ISBN 10: 1781831068
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Paperback. Condition: new. Paperback. Key Features:Y New edition in two-colour with improvised figuresY Discusses the theory from its very beginningY Foundations have been laid very carefully and the treatment is rigorous, and on modern linesY The Riemann integration is treated in fullY Large number of well graded examples have been given and some of these have been solved.About the Book:The book is intended to serve as a textbook for a course in Real Analysis for undergraduate andpostgraduate students. It is also meant for engineering students and other professionals.The book discusses the theory from its very beginning. The foundations have been laid verycarefully and the treatment is rigorous and on modern lines. It starts with a quick review of theessential properties of rational numbers and using Dedekind's form, the properties for realnumbers are established. This foundation supports the subsequent chapters--topologicalframework; sequences and series; continuity; differentiation; extreme values; indeterminateforms; elementary functions. The Riemann integration is treated fully. Finally, it deals withRiemann-Stieltjes integrals; functions of several variables; implicit functions; Jacobians and themethod of Lagrange's multipliers for extreme values of functions with subsidiary conditions. Thematerial on functions of two-variables has been given with more details and more examples. Anappendix has also been given on Cantor's theory of the construction of real numbers to make thebook more useful. The book is intended to serve as a textbook for a course in Real Analysis for undergraduate and postgraduate students. It is also meant for engineering students and other professionals. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781781831069
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Principles of Real Analysis
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