The book describes the main classical and modern compression methods: Huffman method, arithmetic coding, LZ77, LZW, PPM, BWT, LPC, etc. The algorithms used in Zip, HA, SavAgs (*. cab files), RAR, BZIP2, RK. A separate section is devoted to image compression algorithms used in PCX, TGA, GIF, TIFF, CCITT G-3, JPEG, JPEG2000 formats. Fractal compression, wavelet compression, etc. are considered. The principles of video compression are described, an overview of the MPEG, MPEG.2, MPEG-4, N.261 and N.263 standards is given. Some methods of increasing compression in Russian are published for the first time. The book contains a large number of examples and exercises and is aimed at students and university teachers. The material of the book allows you to independently write an archiver in several ways with characteristics that exceed programs such as pkzip and arj.