Logo

Introduction to Analysis by Irena Swanson

Small book cover: Introduction to Analysis

Introduction to Analysis
by

Publisher: Purdue University
Number of pages: 353

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

Book cover: Nonstandard AnalysisNonstandard Analysis
by
This book is concerned with an attempt to introduce the infinitesimals and the other 'nonstandard' numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematically sound, and to be complete within obvious limits.
(13667 views)
Book cover: Set Theory and Topology: An Introduction to the Foundations of AnalysisSet Theory and Topology: An Introduction to the Foundations of Analysis
by - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.
(13101 views)
Book cover: Jacobi Operators and Complete Integrable Nonlinear LatticesJacobi Operators and Complete Integrable Nonlinear Lattices
by - American Mathematical Society
Introduction and a reference to spectral and inverse spectral theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. It covers second order difference equations, self-adjoint operators, etc.
(14055 views)
Book cover: A Course in Mathematical AnalysisA Course in Mathematical Analysis
by - Ginn & company
Goursat's three-volume 'A Course in Mathematical Analysis' remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.
(12158 views)