Text: Main textbook will be Walter Rudin's Principles of Mathematical Analysis third edition We will start with some preliminaries and chapter 7 and then soldier on from there. If you are willing to wait a little to pay a lot less for it, get it used. You can also simply search for "rudin principles" on about any book website. So if chapters in Rudin seem too hard, you might want to look there. There may be mistakes and many many typos, some might be fixed after a lecture, some after a few lectures, some never.
Math 112: Introduction to Real Analysis – Spring 2019
Assignments | Real Analysis | Mathematics | MIT OpenCourseWare
The part of mathematics in which functions cf. Function and their generalizations are studied by the method of limits cf. The concept of limit is closely connected with that of an infinitesimal quantity, therefore it could be said that mathematical analysis studies functions and their generalizations by infinitesimal methods. The name "mathematical analysis" is a short version of the old name of this part of mathematics, "infinitesimal analysis"; the latter more fully describes the content, but even it is an abbreviation the name "analysis by means of infinitesimals" would characterize the subject more precisely. In classical mathematical analysis the objects of study analysis were first and foremost functions. Everywhere in nature and technology one meets motions and processes which are characterized by functions; the laws of natural phenomena also are usually described by functions. Hence the objective importance of mathematical analysis as a means of studying functions.
Mathematics 131AH - Honors Analysis - Fall 2016 - UCLA
Once a week. Will use one of the following time and place: Friday, pm, Hill ; Wed. Homework to be handed in: Page , 2,3, 4,6. Homework not handed in: Page , 1,5,7 these I will go over on Jan.
This document contains the list of topics to be presented in this course, a list of textbooks , and some comments and recommendations about these textbooks. Click on each topic title to download the notes for that topic. To find some interesting papers on topics related to this class, click here.