Sinai Robins, University of Sao Paulo, Brazil.

• Motivational problem: Tiling a rectangle with rectanglesExamples nourish the theoryThe basics of Fourier analysisGeometry of numbers, Part I: Minkowski meets SiegelAn introduction to Euclidean latticesGeometry of numbers, Part II: Blichfedt's theoremThe Fourier transform of a polytope via its vertex description: Brion's theoremWhat is an angle in higher dimensions?Appendix A. Solutions and hints to selected problemsAppendix B. The dominated convergence theorem and other goodiesBibliographyIndex

Sinai Robins, University of Sao Paulo, Brazil.

• Motivational problem: Tiling a rectangle with rectanglesExamples nourish the theoryThe basics of Fourier analysisGeometry of numbers, Part I: Minkowski meets SiegelAn introduction to Euclidean latticesGeometry of numbers, Part II: Blichfedt's theoremThe Fourier transform of a polytope via its vertex description: Brion's theoremWhat is an angle in higher dimensions?Appendix A. Solutions and hints to selected problemsAppendix B. The dominated convergence theorem and other goodiesBibliographyIndex

Sinai Robins, University of Sao Paulo, Brazil.

• Motivational problem: Tiling a rectangle with rectanglesExamples nourish the theoryThe basics of Fourier analysisGeometry of numbers, Part I: Minkowski meets SiegelAn introduction to Euclidean latticesGeometry of numbers, Part II: Blichfedt's theoremThe Fourier transform of a polytope via its vertex description: Brion's theoremWhat is an angle in higher dimensions?Appendix A. Solutions and hints to selected problemsAppendix B. The dominated convergence theorem and other goodiesBibliographyIndex