Introduction 1 Basics 1.1 Rings and ideals 1.2 Quotients 1.3 Modules ... elements 10.6 Cohen’s structure theorem 10.7 Exercises Appendix A Fields A.1 Algebraic elements A.2 Finite fields A.3 ...

This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more ...

Franz Lemmermeyer, Zentralblatt MATH Review of the hardback: 'This is a fine introduction to algebraic K-theory, requiring only a basic preliminary knowledge of groups, rings and modules.' European ...

An introduction to the language of mathematics and proof techniques through a study of the basic algebraic systems of mathematics: the integers, the integers modulo n, the rational numbers, the real ...

Applications. Fundamental Theorem of Algebra. Applications of finite fields. If time allows: Modules over rings and representation theory. Classification of (finitely-generated) modules over PIDs.

This repository is aimed at providing an introduction to the basics of linear algebra and advanced computational numerical linear algebra with a focus on applications in quantum computing. Quantum ...

We will be using the following two textbooks: 1) Algebraic Topology by Alan Hatcher, Cambridge U Press. Free download; printed version can be bought cheaply online. 2) A.Fomenko, D.Fuchs, Homotopical ...

An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear dependence and independence, subspaces, basis. Inner products. Matrix ...