Solving "Analysis I" by K. Koenigsberger

In the summer of 2018 I started solving some exercises of Konigsberger two-volume calculus series to refresh my memory in terms of fundamental results. I mostly found (and still find) the treatment significantly more advanced than similar books about the topic. The exercises in both volumes, and especially in the second one, I consider challenging. Solving all 253 exercises is not an easy undertaking. Nevertheless, I hope to finish it some time next year. Luckily, some short solutions or at least hints are given at the end of volume one (not so for volume two which makes it even more challenging). The attempted solutions presented here shall be as complete as possible. One caveat is that all solutions are in German.

Please do not hesitate and send me a message in case you find any kind of error in any of the material. I would like to stress again that these are solution attempts and work in progress for some time to come.

Solutions:

Chapter $1$: $\color{green} \textbf{9 / 9}$ [Solutions]
Chapter $2$: $\color{green} \textbf{15 / 15}$ [Solutions]
Chapter $3$: $\color{green} \textbf{10 / 10}$ [Solutions]
Chapter $4$: $\color{green} \textbf{12 / 12}$ [Solutions]
Chapter $5$: $\color{green} 10 / 20$
Chapter $6$: $\color{red} 2 / 15$
Chapter $7$: $\color{red} 2 / 24$
Chapter $8$: $\color{red} 4 / 23$
Chapter $9$: $\color{green} 12 / 24$ [Solutions]
Chapter $10$: $\color{green} 5 / 7$ [Solutions]
Chapter $11$: $\color{red} 2 / 25$
Chapter $12$: $\color{red} 1 / 14$
Chapter $13$: $\color{red} 2 / 11$
Chapter $14$: $\color{red} 1 / 11$
Chapter $15$: $\color{red} 1 / 16$
Chapter $16$: $\color{red} 0 / 11$
Chapter $17$: $\color{green} \textbf{5 / 5}$