Introduction to Analysis
by Irena Swanson
Publisher: Purdue University 2020
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
Introduction to Analysisby 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.
(10023 views)
A Course of Modern Analysisby E. T. Whittaker, G. N. Watson - Cambridge University Press
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It is the standard book of reference in English on the applications of analysis to the transcendental functions.
(45947 views)
Nonstandard Analysisby J. Ponstein
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.
(15057 views)
Real Numbers and Fascinating Fractionsby N. M. Beskin - Mir Publishers
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.
(17776 views)