A Course in Analysis - Volume I: Introductory Calculus, Analysis of Functions of One Real Variable

This post was published 5 years ago. Download links are most likely obsolete.
If that's the case, try asking the author to reupload.

A Course in Analysis - Volume I: Introductory Calculus, Analysis of Functions of One Real Variable
A Course in Analysis - Volume I: Introductory Calculus, Analysis of Functions of One Real Variable
English | ISBN: 9814689084, 9814689092 | 2015 | 746 pages | PDF | 6 MB


Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variableThese two parts are divided into 32 chapters. Part 1 begins with an overview of a set of real numbers: rational and irrational. This is accompanied by a discussion of arithmetic rules, inequalities, absolute values. Doing this, the authors, in a clever way, introduce elements of a set theory using Cantor's approach. This is followed by the definition of a function and discussion of operations on functions. From this they move to differential and integral calculus and their applications.Part 2 contains rigorous proofs of theorems from Part 1. In particular, they introduce the order structure on a real line using axioms of an ordered field. It is worth mentioning that Part 2 contains elements of topology obviously on real line and a good insight on convex functions. The convex functions relate Analysis to linear spaces equipped with norm. Finally, to close Part 2 the authors supply a number of Appendices, among them Appendices on logic, set theory and Peano axioms.Remarkably, Volume 1 contains 360 problems with complete solutions.


Password: sanet.me


http://rapidgator.net/file/d6a036d0853d900fbdce9170f8a02c45/SAnet.me.9814689084.pdf.html


http://nitroflare.com/view/704729BDB80039B/SAnet.me.9814689084.pdf

.
.
.
.

~~~~ Welcome to my Blogs ~~~~
Do not forget to check it every day!
If You should find any files not found, please PM me

Tomorrowland: Software, Video Training (New)
DownloadDownload: Software, Video Training
Ebook - Snorgared: Best Ebooks
Graphic World: Best Graphics
Android SAnet.me Collection Pack by Snorgared < Update Daily >


No comments have been posted yet. Please feel free to comment first!

    Load more replies

    Join the conversation!

    Login or Register
    to post a comment.