Higher Algebra I (math 570) Course Notes

Higher Algebra – MATH 570 Course

Some notes on the existence of an inequality in Banach algebra

We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.

Some notes on sets , logic , and mathematical language

These are ‘‘generic’’ notes, for use in Math 110, 113, 104 or 185. (This printing is adapted for use in Math 110 with Friedberg, Insel and Spence’s Linear Algebra. Part 1 below has a large overlap with Appendices A and B of that text, but I have left it in for completeness, and because it gives further examples of the concepts in question.) These pages do not develop in detail the definitions a...

Math Problems, with Solutions

These are free online notes that I wrote to assist students that wish to test their math skills with some problems that go beyond the usual curriculum. These notes can be used as complimentary to an advanced calculus or algebra course, as training for math competitions or simply as a collection of challenging math problems. Many of these are my own creation, some from when I was a student and s...

Homological Algebra - Lecture Notes Lectures by Paul Balmer Notes by Geunho Gim

These notes are based on the course Math 212, Homological Algebra given by professor Paul Balmer on Spring 2014. Most of these notes were live-TEXed in class. The footnotes are added by me.