Introduction to Algebra has 7 ratings and 1 review. This textbook, written by a dedicated and successful pedagogue who developed the present undergraduat.. . Pris: kr. Häftad, Skickas inom vardagar. Köp Introduction to Algebra av A I Kostrikin på KOSTRIKIN, A. I., Introduction to algebra, translated by N. Koblitz (Universitext, Springer-Verlag,. Berlin-Heidelberg-New York, ), pp., £ This book .
|Published (Last):||26 June 2011|
|PDF File Size:||12.81 Mb|
|ePub File Size:||8.15 Mb|
|Price:||Free* [*Free Regsitration Required]|
The definition and general properties of rings. Raising to powers and extracting roots. In the first place, Kostrikin’s textbook motivates many of the algebraic concepts by practical examples, for instance, the heated plate problem used to introduce linear equations in Chapter 1.
To be honest, my knowledge of multilinear algebra was obtained in a piecewise fashion; I picked it up as I needed it from various sources, so I don’t have a recommendation for a single book. The ring of symmetric polynomials. Factoring in polynomial rings.
This book is not yet featured on Listopia. About Aleksei Ivanovich Kostrikin.
In the first place, Kostrikin’s textbook motivates many of the algebraic concepts by practical examples, for instance, the heated plate problem used to introduce linear equations in Chapter 1.
linear algebra – Kostrikin’s Definition of Tensor Product – Mathematics Stack Exchange
I’m having serious trouble to understand the definition of tensor products from Kostrikin’s Linear Algebra and Geometry. Basic properties of determinants. The field of fractions. Many general concepts and theorems of linear algebra are conveniently illustrated by diagrams and pictures. Sets with algebraic operations.
Home Questions Tags Users Unanswered. Just a moment while we sign you in to your Goodreads account. Reducing to step form. Thus, Part II includes an introduction to the classical groups and to representation theory.
Equivalence of linear systems. In the third place, the author treats material which is usually not part of an elementary course but which is fundamental in applications.
Introduction to Algebra
Post as a guest Name. Nobody ever thinks of these types of vector spaces or modules by their formal definition, we just think of them as all formal finite linear combinations of the generators. What’s the intuition behind this definition? Skickas inom vardagar. What does it mean to develop such intuition systematically and how?
Thanks for telling us about the problem. Holidaylalala marked it as to-read Sep 19, Any help or reference is very good. In the second place, there are a large number of exercises, so that the student can convert a vague passive understanding to active mastery of the new ideas. The fundamental theorem on symmetric polyno. Sign up or log in Sign up using Google. Algebrra rated it it was ok Dec 11, Introduction to Algebra av A I Kostrikin.
Cosets of a subgroup. The concept of quotient group and quotient ring. This feature also makes the book ideally suited for learning algebra on one’s own outside of the framework of an organized kostrykon.
Here is a simple example how are we to imagine the general arrangement of two planes in four-dimensional space? Determinants of small order. However, I’ll try to explain a little of what I understand about this.
Tim added it Mar 31, Thanks in advance, and really sorry if this question is too long, too specific or too silly. Well, i’ll post how he constructs the tensor product, and then post my doubts.