**Fundamentals of Analysis**

by W W L Chen

**Publisher**: Macquarie University 2008**Number of pages**: 152

**Description**:

This is a set of notes suitable for an introduction to some of the basic ideas in analysis. The author covers the number system, sequences and limits, series, functions and continuity, differentiation, the Riemann integral, further treatment of limits, and uniform convergence.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**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.

(

**3674**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.

(

**2867**views)

**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.

(

**18154**views)

**Introduction to Lebesgue Integration**

by

**W W L Chen**-

**Macquarie University**

An introduction to some of the basic ideas in Lebesgue integration with the minimal use of measure theory. Contents: the real numbers and countability, the Riemann integral, point sets, the Lebesgue integral, monotone convergence theorem, etc.

(

**10371**views)