*Introduction to Real Analysis*, by William F. Trench, is for two-semester, junior/senior-level courses in introductory real analysis. Designed to fill the gaps left in the development of calculus as it is usually presented in the elementary course, this text introduces students to a rigorous understanding of mathematical analysis.

**Description**

Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

**Table of Contents**

- The Real Numbers
- Differential Calculus of Functions of One Variable
- Integral Calculus of Functions of One Variable
- Infinite Sequences and Series
- Real-Valued Functions of Several Variables
- Vector-Valued Functions of Several Variables
- Integrals of Functions of Several Variables
- Metric Spaces

**Book Details**

Publisher: Prentice Hall

Format(s): PDF

File size: 3.55 MB

Number of pages: 583

Link: Introduction to Real Analysis [PDF]