Can I read Introduction to Analysis (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 1) on EtoBox?

Introduction to Analysis (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 1) by Edward D. Gaughan is a mathematics available to read on EtoBox.

What is Introduction to Analysis (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 1) about?

<p>Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary gu

Who reads Introduction to Analysis (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 1)?

Author

Edward D. Gaughan

Publisher

American Mathematical Society; Brand: American Mathematical Society

Published

2009

Language

EN

ISBN

9780821847879

Category

mathematics

Subjects

Mathematics, Analysis, Stem

Rating

4.1 / 5 (55 ratings)

Updated

2026-03-14