Topology, also known as rubber sheet geometry, studies the shape of objects up to continuous deformations that can be continuously undone.
Supported by his experience, not only in university teaching, but also in training teachers, professor Moslehian offers us a textbook, with quite advanced topics and many activities, that will certainly engage students, and create an interest in new concepts.
The book contains many activities, nicely illustrated, and these will develop the natural tendency in teenagers to be explorers. For instance, in one activity the reader is asked to use a marker to draw a circle, a triangle, and a square on an uninflated balloon and then inflate the balloon. Then the reader is asked to explain why the resulting shapes are topologically equivalent to the original ones.
The book also contains many challenging topics: four-dimensional spaces, knot theory, and fractals, to mention a few. The formal study of these topics requires many prerequisites. However, with his ample experience, Professor Moslehian manages to communicate them without technicalities, engaging the curious students in a pleasant ludic journey.
The book will appeal to anyone interested in geometry and can be regarded as a great contribution to the popularization of mathematics.
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