<P>This volume is dedicated to the memory of the outstanding mathematician S.Ya. Khavinson. It begins with an expository paper by V.P. Havin presenting a comprehensive survey of Khavinson's works as well as certain biographical material. The complete bibliography following this paper has not previously been published anywhere. It consists of 163 items; a considerable part of these cannot be found in easily accessible sources. The book also contains a series of photographs and twelve original peer-reviewed research and expository papers by leading mathematicians worldwide, including the joint paper by S.Ya. Khavinson and T.S. Kuzina (the last publication of S.Ya. Khavinson).<BR>The main topics covered are extremal problems for various classes of functions, approximation problems, Cauchy integral and analytic capacity,<BR>Cantor sets, meromorphic functions (value distribution, quasinormal families), Carathéodory inequality, integral representation of functions, and the shift operator.<BR>The book is suitable for graduate students and researchers interested in analysis.</P>