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penrose_solutions.tex
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penrose_solutions.tex
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\documentclass[a4paper,11pt]{article}
\usepackage[dvips]{graphicx}
\usepackage{amssymb,amsmath,amsthm}
\newcommand{\dd}{\text{d}}
\usepackage{makeidx}
\makeindex
\author{Sebastian Bodenstein}
\title{Solutions for Problems in Penrose's The Road to Reality}
\setcounter{secnumdepth}{-1}
\begin{document}
\maketitle
\tableofcontents
\newpage
\section{5. Geometry of Logarithms, Powers and Roots}
\input{chapters/chapter_5}
\newpage
\section{6. Real-number calculus}
\input{chapters/chapter_6}
\newpage
\section{7. Complex-number calculus}
\input{chapters/chapter_7}
\newpage
\section{8. Riemann surfaces and complex mappings}
\input{chapters/chapter_8}
\newpage
\section{9. Fourier Decomposition and hyperfunctions}
\input{chapters/chapter_9}
\newpage
\section{10. Surfaces}
\input{chapters/chapter_10}
\newpage
\section{11. Hypercomplex Numbers}
\input{chapters/chapter_11}
\newpage
\section{12. Manifolds of $n$ dimensions}
\input{chapters/chapter_12}
\newpage
\section{13. Symmetry groups}
\input{chapters/chapter_13}
\newpage
\section{16. The ladder of infinity}
\input{chapters/chapter_16}
\newpage
\section{19. The Classical Fields of Maxwell and Einstein}
\input{chapters/chapter_19}
\newpage
\section{20. Lagrangians and Hamiltonians}
\input{chapters/chapter_20}
\newpage
\section{21. The Quantum Particle}
\input{chapters/chapter_21}
\newpage
\section{22. Quantum algebra, geometry, and spin}
\input{chapters/chapter_22}
\newpage
\section{24. Dirac's electron and antiparticles}
\input{chapters/chapter_24}
\newpage
\section{Appendix}
\input{chapters/Appendix}
\end{document}