jekyllhydeclub reviewed Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions (Springer Study Edition) on + 12 more book reviews
If you are looking at this book you must be serious about your analysis and have heard the name of one of the coauthors before. Polya is famous of course for some of the first works on problem solving.
This is another classic and the style of its presentation is very interesting. The problems in analysis are not just advanced, they are roughly Putnam level. Moreover together they seem to form a coherent picture of the entire topic covered in a single section.
Most of the theorems you could need are themselves posed as exercises. Honestly, Walter Rudin's exercises, in his smaller and greater books on analysis were dull for me. This one is a more exciting collection of exercises and they are still accessible enough to the average math major in an honors class.
If you want something stimulating,this books appears to be very thorough, covering most of undergraduate analysis. In my opinion, if the book consisted of one section only, dedicated to convergent series, it would already be worth its money.
This is another classic and the style of its presentation is very interesting. The problems in analysis are not just advanced, they are roughly Putnam level. Moreover together they seem to form a coherent picture of the entire topic covered in a single section.
Most of the theorems you could need are themselves posed as exercises. Honestly, Walter Rudin's exercises, in his smaller and greater books on analysis were dull for me. This one is a more exciting collection of exercises and they are still accessible enough to the average math major in an honors class.
If you want something stimulating,this books appears to be very thorough, covering most of undergraduate analysis. In my opinion, if the book consisted of one section only, dedicated to convergent series, it would already be worth its money.
