Bøger af V. V. Prasolov

Presents an introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. This book also include a chapter on infinite-dimensional generalizations of Euclidean and affine geometries.

Presents the basics of linear algebra, with an emphasis on nonstandard and interesting proofs. This book features about 230 problems with solutions. It is suitable as a supplementary text for an undergraduate or graduate algebra course.

Contains 20 essays, each dealing with a separate mathematical topic. This book contains topics that range from mathematical statements with interesting proofs, to simple and effective methods of problem-solving, to interesting properties of polynomials, to exceptional points of the triangle.