Publisher's Synopsis
This book attempts to collect geometric, number theoretic and also combinatorial and analytical results, theories and problems related to lattice points. The problems of the geometry of numbers comprise a large part of the book, which also covers dissection problems, lattice polytopes, mathematical cystallography, visibility, integral geometry, combinatorics, graphy theory and other topics.;The book is designed to relate the concept of lattice points to other areas of mathematics and provides a number of implicitly or explicitly stated classical and new problems to encourage readers to undertake further research.;Mathematicians in universities and industry who are interested in geometry, number theory and combinatorics and would like to know more about the area of lattice points and related subjects, should find the book of use. The book can be used as a basis for seminars introducing students to research.