Covering the important topics of an undergraduate Real Analysis course, this book discusses key concepts like Uniform Convergence, Multiple Integrals and Surface Integrals in detail. The book is self-contained, and all concepts are introduced and explained through a large number of solved examples. A good number of thought provoking problems are included at the end of each chapter so that students can master the ideas and concepts given, alongside an exhaustive bibliography for enhanced further reading.
Table of Contents
• Preface
• Prerequisites
• Sequence and Series of Real Numbers
• Functions of One Variable
• The Riemann Integral
• Riemann-Stieltjes Integral
• Improper Integrals
• Beta and Gamma Functions
• Sequence and Series of Functions
• Power Series
• Function of Two Variables
• Double and Triple Integrals
• Line and Surface Integrals
• Index.
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Mainak Mukherjee.: Department of Mathematics Sri Venkateswara College, University of Delhi, South Campus, New Delhi
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