By Helmut Groemer
This ebook offers a complete presentation of geometric effects, essentially from the speculation of convex units, which were proved by way of Fourier sequence or round harmonics. a massive characteristic of the ebook is that each one valuable instruments from the classical conception of round harmonics are awarded with complete proofs. those instruments are used to end up geometric inequalities, balance effects, forte effects for projections and intersections by means of hyperplanes or half-spaces and characterisations of rotors in convex polytopes. back, complete proofs are given. To make the therapy as self-contained as attainable the e-book starts with heritage fabric in research and the geometry of convex units. This treatise should be welcomed either as an advent to the topic and as a reference e-book for natural and utilized arithmetic.