The book contains chapters of structured approach to problem solving in mathematical analysis
on an intermediate level. It follows the ideas of G.Polya and others distinguishing between
exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks
pointing toward easier or more difficult problems so as to show paths of mathematical
reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places.
Problems are open to alternative formulations generalizations simplifications and
verification of hypotheses by the reader this is shown to be helpful in solving problems. The
book presents how advanced mathematical software can aid all stages of mathematical reasoning
while the mathematical content remains in foreground. The authors show how software can
contribute to deeper understanding and to enlarging the scope of teaching for students and
teachers of mathematics.
