biblio.tex

\subsection*{Mathematical quantum mechanics}

\begin{itemize}
\item Ballentine, \textit{Quantum Mechanics: A Modern Development} (Second edition), World Scientific 2014
\item Faddeev, Yakubovskii, \textit{Lectures on Quantum Mechanics for Mathematics Students}, American Mathematical Society 2009
\item Folland, \textit{Quantum Field Theory: A Tourist Guide for Mathematicians},  American Mathematical Society 2008
\item Gieres, \textit{Mathematical surprises and Dirac's formalism in quantum mechanics}\\
\url{https://arxiv.org/abs/quant-ph/9907069}
\item Hall, \textit{Quantum Theory for Mathematicians}, Springer 2013
\item Mackey, \textit{Mathematical Foundations of Quantum Mechanics}, Dover Publications 2004
\item Moretti, \textit{Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation}, Springer 2013
\item Parthasarathy, \textit{Mathematical Foundations of Quantum Mechanics}, Hindustan Book Agency 2005
\item Strocchi, \textit{An Introduction to the Mathematical Structure of Quantum Mechanics: A Short Course for Mathematicians}, World Scientific 2008
\item Takhtajan, \textit{Quantum Mechanics for Mathematicians}, American Mathematical Society 2008
\end{itemize}


\subsection*{Linear Algebra}

\begin{itemize}
\item Friedberg, Insel, Spence, \textit{Linear Algebra} (4th Edition), Pearson 2002
\item J\"anich, \textit{Linear algebra}, Springer 1994
\item Lang, \textit{Linear Algebra} (Third edition), Springer 1987
\item Shakarchi, \textit{Solutions Manual for Lang's Linear Algebra}, Springer 1996
\end{itemize}


\subsection*{Topology}

\begin{itemize}
\item Adamson, \textit{A General Topology Workbook}, Birkh\"auser 1995
\item Kalajdzievski, \textit{An Illustrated Introduction to Topology and Homotopy}, CRC Press 2015
\item Munkres, \textit{Topology} (Second edition), Pearson 2014
\end{itemize}


\subsection*{Functional analysis}

\begin{itemize}
\item Aliprantis, Burkinshaw, \textit{Principles of Real Analysis (Third Edition)}, Academic Press 1998
\item Aliprantis, Burkinshaw, \textit{Problems in Real Analysis: A Workbook with Solutions}, Academic Press 1998
\item Day, \textit{Normed Linear Spaces}, Springer 1973
\item Halmos, \textit{A Hilbert Space Problem Book}, Springer 1982
\item Hunter, Nachtergaele, \textit{Applied Analysis}, World Scientific, 2001
\item Kadison, Ringrose, \textit{Fundamentals of the Theory of Operator Algebras. Volumes I-II}, American Mathematical Society 1997
\item Rynne, Youngson, \textit{Linear Functional Analysis (Second Edition)}, Springer 2008
\end{itemize}


\subsection*{Measure theory and Integration}

\begin{itemize}
\item Bartle, \textit{A Modern Theory of Integration}, American Mathematical Society 2001
\item Bartle, \textit{Solutions Manual to A Modern Theory of Integration}, American Mathematical Society 2001
\item Halmos, \textit{Measure Theory}, Springer 1982
\item Nelson, \textit{A User-friendly Introduction to Lebesgue Measure and Integration}, American Mathematical Society 2015
\item Rana, \textit{An Introduction to Measure and Integration}, American Mathematical Society 2002
\end{itemize}