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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
Author(s): William F. Trench
Publisher: Prentice Hall
Format(s): PDF
File size: 3.55 MB
Number of pages: 583
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