**A Course Of Mathematical Analysis**

by Shanti Narayan

**Publisher**: S.Chand And Company 1962**ISBN/ASIN**: 8121904722**Number of pages**: 494

**Description**:

Contents: Dedekind's theory of Real Numbers; Bounds and Limiting Points; Sequences; Real Valued Functions of a Real Variable - Limit and Continuity; The derivative; Riemann Theory of Integration; Uniform Convergence - Analytical theory of Trigonometric Functions; Improper Integrals; Fourier Series; etc.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Introduction to Real Analysis**

by

**William F. Trench**-

**Prentice Hall**

This book introduces readers to a rigorous understanding of mathematical analysis and presents challenging concepts as clearly as possible. Written for those who want to gain an understanding of mathematical analysis and challenging concepts.

(

**18560**views)

**Undergraduate Analysis Tools**

by

**Bruce K. Driver**-

**University of California, San Diego**

Contents: Natural, integer, and rational Numbers; Fields; Real Numbers; Complex Numbers; Set Operations, Functions, and Counting; Metric Spaces; Series and Sums in Banach Spaces; Topological Considerations; Differential Calculus in One Real Variable.

(

**3274**views)

**Real Analysis**

by

**Martin Smith-Martinez, et al.**-

**Wikibooks**

This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.

(

**7741**views)

**The Foundations of Analysis**

by

**Larry Clifton**-

**arXiv**

This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positive real numbers categorically.

(

**4049**views)