The only prerequisites are elementary calculus and linear algebra. Yuri Popov rated it really liked it Apr 04, The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. Hamdi Ahmed marked it as to-read Sep 05, Table of contents Preface; 1. Groups, Hilbert Space and Differential Geometry.
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Maths For Engineers Table of contents Preface; 1. Sets and structures; 2. Groups; 3. Vector spaces; 4. Linear operators and matrices; 5.
Inner product spaces; 6. Algebras; 7. Tensors; 8. Exterior algebra; 9. Special relativity; Topology; Measure theory and integration; Distributions; Hilbert space; Quantum theory; Differential geometry; Differentiable forms; Integration on manifolds; Connections and curvature; Lie groups and lie algebras.
Peter Szekeres presents in the most elegant and compelling manner a magnificent overview of how classic areas such as algebra, topology, vector spaces and differential geometry form a consistent and unified language that has enabled us to develop a description of the physical world reaching a truly profound level of comprehension.
His selection of topics concentrates on areas where a fully developed rigorous mathematical exposition is possible. One cannot help but be slightly awed by the beauty and the capability with which seemingly abstract concepts, often developed in the realms of pure mathematics, turn out to be applicable I recommend that you get hold of this book for yourself or for your library.
Currently he is a Visiting Research Fellow at that institution. He is well known internationally for his research in general relativity and cosmology, and has a good reputation for his teaching and lecturing.
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A Course in Modern Mathematical Physics : Groups, Hilbert Space and Differential Geometry