By A.A. Kirillov

considering Benoit Mandelbrot's pioneering paintings within the overdue Seventies, rankings of research articles and books have been published concerning fractals. Despite the volume of literature within the field, the basic point of theoretical realizing has remained low; such a lot paintings is aimed both at too mainstream an viewers to accomplish any intensity or at too really good a neighborhood to accomplish frequent use. Written by celebrated mathematician and educator A.A. Kirillov, A story of 2 Fractals is meant to help bridge this hole, delivering an unique therapy of fractals that's instantly obtainable to newcomers and sufficiently rigorous for severe mathematicians. The work is designed to offer younger, non-specialist mathematicians a stable starting place within the thought of fractals, and, within the procedure, to equip them with publicity to quite a few geometric, analytical, and algebraic instruments with purposes throughout different areas.

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