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This advanced textbook on linear algebra and geometry covers a wide range of classical of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. P. K. Suetin,Alexandra I. Kostrikin,Yu I Manin. This advanced textbook on linear algebra and geometry covers a wide range of of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin. Gordon and Breach Science Publishers, – Algebras, Linear – pages Linear Algebra and Geometry · Alekseĭ Ivanovich Kostrikin,I͡U. I. Manin Snippet .

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I personally like this course as a whole because it develops you intuition over you reasoning, which is what a mathematician needs.

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Amazon Inspire Digital Educational Resources. 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.

ManinYu I Manin. Write a customer review. Enter your mobile number or email address below and we’ll send you a link to download the free Kindle App. I strongly reccomend you Naive Lie Theory. 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.

Can anyone suggest a similar text? However, if you would like a supplementary source specific to geometry, I think that your current answers have pretty good suggestions for that. SelfAdjoint Operators in Quantum Mechanics. What does it mean to develop such intuition systematically and how? 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.

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Linear Algebra and Differential Geometry. Share your thoughts with other customers. 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.

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Hence the importance of discarding the necessity for geometric interpretations here, and kostrikim unifies the subject when one does this!

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. In addition, I have also learned from this course about a six months or so ago and with full knowledge and understanding of the subject of mathematics.

Linear Algebra and Geometry

manib The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming.

I guess part of the reason why I don’t fully capture what the author is trying to get across is because I can’t quite get my head around the example about the two planes in four dimensional space.

It’s a very sophisticated treatment of classical geometries not differential geometryfull of linear algebra. One person found this helpful.

Linear Algebra and Geometry – P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin – Google Books

It is actually a live online course that lets you interact with the community of other students in the program and the professors directing the course which to me is quite amazing.

A bit different look, to build different intuitions: The Language of Categories. There’s a problem loading this menu right now. Offline Computer — Download Bookshelf software to your desktop so you can view your eBooks with or without Internet access. It may be a bit too difficult for your level, though.

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To get the free app, enter your mobile phone number. Nowhere is this motivation better than in the chapter 2 “Geometry of Spaces with Inner Products” which uses Quantum Mechanics to motivate study of Unitary spaces and theory of Self-Adjoint operators, the very reason the whole machinery was developed by Hilber, John von Neumann, and the followers. I didn’t read all of it, but quite liked what I did. It’s less abstract than the sources you give and covers far less ground than Shafarevich’s book doesbut offers a lot of geometric intuition.

There are three linear linear algebra textbooks which must be studied cover to cover by any serious student of mathematics and theoretical physics. The Orthogonalization Algorithm and Orthogonal Polynomials. Algebra, Logic and Applications.

Text suggestion for linear algebra and geometry – Mathematics Stack Exchange

Learn More about VitalSource Bookshelf. Also discussed algebbra Kahler’s metic, the theory of Hilbert polynomials, and projective and affine geometries. Home Questions Tags Users Unanswered. It will help you have a solid ground on linear algebra, being a quite nice book.

Page 1 of 1 Start over Page 1 of 1. Page 1 of 1 Start over Page 1 of 1. There’s a cool beometry I hope this clarifies a little what you’re troubled with.

Summary This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. The material you suggest is on the elementary level. The Categorical Properties of Linear Spaces. The Bookshelf application offers access: Pages with related products. SuetinAlexandra I.

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About intuition is something like this: