Analysis, Linear Algebra, Differential Equations
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Linear Algebra Done Right, Sheldon Axler
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Understanding Analysis, Stephen Abbott
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Introductory Functional Analysis With Applications, Erwin Kreyszig
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Hilbert Spaces With Applications, Lokenath Debnath, Piotr Mikusinski
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Functional Analysis, Sobolev Spaces and Partial Differential Equations, Haim Brezis
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Green's Functions and Boundary Value Problems, I. Stakgold, M. Holst
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Distributions and Operators, Gerd Grubb
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Partial Differential Equations for Scientists and Engineers, S.J. Farlow
Geometry, Topology
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Elementary Differential Geometry, Andrew Pressley
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Essential Topology, Martin D. Crossley
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Introduction to Topological Manifolds, John M. Lee
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Introduction to Smooth Manifolds, John M. Lee
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Riemannian Manifolds: An Introduction to Curvature, John M. Lee
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Semi-Riemannian Geometry With Applications to Relativity, Barrett O'Neill
Physics, Mathematical Physics
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Special Relativity, N.M.J. Woodhouse
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General Relativity, N.M.J. Woodhouse
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Introduction to Analytical Dynamics, N.M.J. Woodhouse
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A Student's Guide to Waves, D. Fleisch, L. Kinnaman
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A Student's Guide to Maxwell's Equations, D. Fleisch
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A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity, P. Collier
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Quantum Theory for Mathematicians, Brian Hall