A COURSE IN REAL ANALYSIS discusses important topics of undergraduate real analysis course like Uniform Convergence, Multiple Integrals, Surface Integrals in detail. The book is self-contained and all concepts are introduced with motivation 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. Exhaustive bibliography is added to enhance further reading.
INDICE: Preface. Introduction. 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. Theory of Power Series. Function of Two Variables. Double and Triple Integrals. Line and Surface Integrals.
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