**Introduction to Analysis**

by Irena Swanson

**Publisher**: Reed College 2016**Number of pages**: 323

**Description**:

In this course, students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Introduction to Analysis**

by

**Ray Mayer**-

**Reed College**

Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; Derivative; Infinite Series; etc.

(

**2555**views)

**Orbital Integrals on Reductive Lie Groups and Their Algebras**

by

**Francisco Bulnes**-

**InTech**

The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.

(

**5651**views)

**Reader-friendly Introduction to the Measure Theory**

by

**Vasily Nekrasov**-

**Yetanotherquant.de**

This is a very clear and user-friendly introduction to the Lebesgue measure theory. After reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.

(

**7351**views)

**Real Numbers and Fascinating Fractions**

by

**N. M. Beskin**

This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.

(

**10671**views)