Introduction to Real Analysis by William F. Trench

• Category: Mathematics
• Author: William F. Trench
• Pages: : 574 pages

Read and download free eBook intituled Introduction to Real Analysis by William F. Trench in format – : 574 pages created by William F. Trench.

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.

This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and engineering and science students with a serious interest in mathematics. Prospective educators of mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course.

The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics.

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Introduction to Real Analysis by William F. Trench