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Numerical solutions of differential equations --- Integral equations --- -Equations, Integral --- Functional equations --- Functional analysis --- Numerical solutions --- Integral equations. --- Numerical solutions. --- -Numerical solutions --- Equations, Integral --- Numerical analysis

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This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum; the reader need be familiar only with calculus and elementary algebra, and have a basic knowledge of Lebesgue integration. Where, for certain applications, more advanced topics are needed, the authors have included references and explained the results used. Moreover, the book has been designed so that the chapters can be read almost independently of each other, enabling a selection of material to be chosen for introductory and advanced courses. At the end of each chapter are included exercises and further results, some 400 in all, which extend the material presented in the text and also test it. The history of functional equations is well documented in a final chapter which is complemented by an encyclopedic bibliography running to over 1600 items.

Functional equations. --- Functions of several real variables. --- Real variables --- Several real variables, Functions of --- Functions of real variables --- Equations, Functional --- Functional analysis

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Functional analysis --- 517.982 --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Linear spaces with topology and order or other structures --- Functional analysis. --- 517.982 Linear spaces with topology and order or other structures --- Analyse fonctionnelle --- Espaces linéaires normés --- Normed linear spaces --- Espaces linéaires normés.

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Integral equations --- Mathematical physics --- 51-7 --- 517.957 --- 512.81 --- 517.988 --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Nonlinear equations systems --- Lie groups --- Nonlinear functional analysis and approximation methods --- 517.988 Nonlinear functional analysis and approximation methods --- 512.81 Lie groups --- 517.957 Nonlinear equations systems --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Physical mathematics --- Physics --- Equations, Integral --- Functional equations --- Functional analysis --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Mathematics

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57 --- 51 --- 517.9 --- 517.53 --- 51-71/73 --- Biology --- -Life sciences --- Biomass --- Life (Biology) --- Natural history --- 51-71/73 Mathematics--?-71/73 --- Mathematics--?-71/73 --- 517.53 Functions of a complex variable --- Functions of a complex variable --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 51 Mathematics --- Mathematics --- Biologische wetenschappen in het algemeen. Biologie --- Mathematical models --- -517.53 Functions of a complex variable --- -#WPLT:dd.Prof.F.Symons --- Biological Model --- Biological Models --- Model, Biological --- Models, Biologic --- Biologic Model --- Biologic Models --- Model, Biologic --- Models, Biological --- #WPLT:dd.Prof.F.Symons --- 519.22 --- 57.087.1 --- 519.22 Statistical theory. Statistical models. Mathematical statistics in general --- Statistical theory. Statistical models. Mathematical statistics in general --- 57.087.1 Biometry. Statistical study and treatment of biological data --- Biometry. Statistical study and treatment of biological data --- Mathematic --- Biological models --- Biomathematics --- Biomathematics. Biometry. Biostatistics --- Mathematical models. --- Biologie --- Modèles mathématiques --- Biophysics --- Biophysique --- Biology - Mathematical models. --- Mathematical models in biology --- Biomathematique --- Modelisation mathematique --- Methodes mathematiques