The book contains: Concept of Definitions and characteristics - applications ¿ properties-examples - adaptive linear combiner input signal and weight vectors - performance function-gradient and minimum mean square error - introduction to filtering-smoothing and prediction - linear optimum filtering-orthogonality - Wiener ¿ Hopf equation-performance surface. Qualization, and deconvolution adaptive equalization of telephone channels-adapting poles and zeros for IIR digital filter synthesis. LMS/ Newton algorithm - properties - sequential regression algorithm - adaptive recursive filters - random-search algorithms - lattice structure - adaptive filters with orthogonal signals.