This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the. Linear Algebra and Geometry. Front Cover. Alekseĭ Ivanovich Kostrikin. Gordon and Breach Science Publishers, – Algebras, Linear – pages. I’m not sure that what I’m going to say is exactly what the author meant. However, I’ll try to explain a little of what I understand about this. First.

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The Tensor Algebra of a Linear Space. You will be able to learn analytic geometry along with linear algebra in the first result. A wonderful treatment you simply have to have and there’s no good reason not to. Add to Wish List. It is a must for someone wishing to relate linear algebra and geometry. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry.

Sign up or log in Sign up using Google. What does it mean to develop such intuition systematically and how? Basically you can view sections from chapter 2 of Kostrikin as like a chapter 3 of Gelfand mixing your ideas together, or perhaps just extended versions of his section on bilinear linwar. Remarks regarding diagrams and graphic representations.

Linear Algebra and Geometry 1st Edition P. Summary This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. A bit different look, to build different intuitions: So it begins like this: Does anyone have a similar suggestion that is less expensive or free? What are VitalSource eBooks? Please let me know why I got down voted.

Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics. I’ve noticed this a lot in my questions.

Read, highlight, and take notes, across web, tablet, and phone. It has plenty of good exercises. Account Options Sign in.

Selected pages Title Page. Tensor Products in Quantum Mechanics. SelfAdjoint Operators in Quantum Mechanics.

This is a surprisingly sophisticated treatment of not only groups of transformations,but the relations between rings and algebras and the classical transformations as well. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Jjm 1, 9 If you have anymore questions, just feel free to email me. In linear algebra we andd with space of any finite number of dimensions and in functional analysis we work with infinite-dimensional spaces.

In addition, I will say that there are over a million results. Allgebra read this title? I personally like this course as a whole because it develops you intuition over you reasoning, which is what a mathematician needs.

The Categorical Properties of Linear Spaces. There’s a cool analogy: No eBook available Amazon.

Functions of Linear Operators. Affine and Projective Geometry. It’s considerably more difficult and specialized then Kaplansky, but I doubt you’ll find a deeper treatment of the connection between these 2 important subjects.

Mathematics Stack Exchange works best with JavaScript enabled. The Structure of a Linear Mapping. He also prides himself on his exercises, in contrast to your experience with Shaferevich. Mathematics Stack Exchange works best with JavaScript enabled.

Sign up using Facebook. Algebraic Varieties and Hilbert Polynomials. On a different level entirely and not helpful for you, given that you’ve read Hubbard and Axler – I’m mostly putting this here in case someone else runs into this question is Ted Shifrin’s Linear Algebra: