Aczel J. Lectures on Functional Equations and Their Applications
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Dover Publications, 2006. - 544 p. Numerous detailed proofs highlight this systematic treatment, which offers upper-level undergraduates and graduate students an elementary approach to functional equations. Starting with equations that can be solved by simple substitutions, the first part examines the determination of the values of the unknown function on a dense set. It also surveys equations with several unknown functions and methods of reduction to differential and integral equations.
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Academic Press, 1998. - 403 Pages.
A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent...
Warszawa, 1968. — 385 pages.
Although the greatest mathematicians, such as N. H. Abel, A. Cauchy, L. Euler, B. Riemann and others, have concerned themselves with functional equations, there existed - until recently - no exhaustive monograph of the subject. The articles by S. Pincherle in Enzyklopadie der Mathematischen Wissenschaften and the booklet by E. Picard, in which only...
Springer, 2012. - 766 Pages. The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional...
М.: МАИ, 1996. — 744 с.
В отличие от многочисленных книг по функциональному анализу, наших и зарубежных, предлагаемое издание адресовано не математикам-профессионалам, а широкому кругу специалистов в разных областях знаний, не имеющих специальной математической подготовки и нуждающихся в совершенствовании математических знаний для успешной работы в своих профессиональных...