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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In rough overview, in Ch. This book is wonderful and although it can be very advanced, once you get used to the writing ksotrikin, it can be absolutely captivating.

Amazon Drive Cloud storage from Amazon. It has plenty of good exercises. Selected pages Title Page. Thus the picture is all motivated by imagining putting a vector tangent space to a curved manifold and invoking the equivalence principle locally. 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’s also the beginnings of Lie groups, so you could look at Curtis’s Matrix Groups.

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. If you are a seller for this product, would you like to suggest updates through seller support? AmazonGlobal Ship Orders Internationally.

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A Geometric Approach is a nice geometric approach to linear algebra. Post as a guest Name.

And also, this is just my xnd, I cannot tell you that this is exactly what the author meant, but I hope it helps you. This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Check it out and judge for yourself. Linear Algebra and Geonetry P. Affine Quadratic Functions and Quadrics.

Page 1 of 1 Start over Page 1 of 1. I strongly reccomend you Naive Lie Theory. On page 5 of this book there is a particular section of the book that I am having trouble trying to understand as to what the authors’ are trying to point across.

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. I’m not sure that what I’m going to say is exactly what the author meant. What does it mean to develop such intuition systematically and how?

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. Already read this title? Alexa Actionable Analytics for the Web. Get to Know Us. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be kosttikin particular interest to advanced undergraduates and graduates ggeometry mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.

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### Linear Algebra and Geometry – CRC Press Book

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 Toggle navigation Additional Book Information. Learn more about Amazon Prime. 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.

Similarly chapters such as “Unitary Geometry” in Weyl’s ‘Group Theory and Quantum Mechanics’ would only lead one to push harder in finding some unified interpretation of linear algebra, so who wouldn’t want to check every good reference? You can basically view the first chapter on vector spaces and inner product spaces as developing a geometric formalism, modelled on putting a vector space into a curved space manifoldapplicable to general relativity and Euclidean geometry by extensionand the second chapter on operators and linear transformations as developing an algebraic formalism, modelled on complex numbers and polynomials which Axler also mentions, as I’m sure you’ve read mainly applicable to quantum mechanics remember QM is not going to demand pretty geometric interpretations!

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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. I remember when I was in your situation trying to find the right source for good studying and intuitive thinking.

Please try again later. Linear Algebra and Geometry by Kostrikin and Manin: Linear Algebra and Geometry P. Differential Geometry of Curves and Surfaces: If you are looking for a numerical methods in linear algebra this review is irrelevant for you.

Account Options Sign in. Unusual in its extensive use of applications in physics to clarify each topic, geeometry 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.

Julian Rachman 1, 9 Again, no matter what you choose from my “arsenal,” I bet that you will have a great intuitive experience with these sources. For this item, I have found an alfebra good source, Multilinear Algebra and Applications. Amazon Renewed Refurbished products with a warranty. Convex Polyhcdra and Linear Programming. I think you’ll find this book very helpful indeed. Write a customer review. Witts Theorem and Witts Group.