Lectures on Real Analysis

Lectures on Real Analysis
Author :
Publisher : Cambridge University Press
Total Pages : 128
Release :
ISBN-10 : 9781139511049
ISBN-13 : 1139511041
Rating : 4/5 (041 Downloads)

Book Synopsis Lectures on Real Analysis by : Finnur Lárusson

Download or read book Lectures on Real Analysis written by Finnur Lárusson and published by Cambridge University Press. This book was released on 2012-06-07 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.


Lectures on Real Analysis Related Books

Lectures on Real Analysis
Language: en
Pages: 128
Authors: Finnur Lárusson
Categories: Mathematics
Type: BOOK - Published: 2012-06-07 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The
Analysis I
Language: en
Pages: 366
Authors: Terence Tao
Categories: Mathematics
Type: BOOK - Published: 2016-08-29 - Publisher: Springer

DOWNLOAD EBOOK

This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculu
Lecture Notes in Real Analysis
Language: en
Pages: 217
Authors: Xiaochang Wang
Categories: Mathematics
Type: BOOK - Published: 2018-11-21 - Publisher: Springer

DOWNLOAD EBOOK

This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is stan
Real Analysis
Language: en
Pages: 368
Authors: Gerald B. Folland
Categories: Mathematics
Type: BOOK - Published: 2013-06-11 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analy
Real and Functional Analysis
Language: en
Pages: 602
Authors: Vladimir I. Bogachev
Categories: Mathematics
Type: BOOK - Published: 2020-02-25 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departmen