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1. Bessel functions before 1826 2. The Bessel coefficients 3. Bessel functions 4. Differential equations 5. Miscellaneous properties of Bessel functions 6. Integral representations of Bessel functions 7. Asymptotic expan...

From the Publisher: This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing. The product of a unique collaboration among four leading scientists in...

Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of measurability Simple functions Elementary properties of measures Arithmetic in [0, ] Integ...

Materias / palabras clave: mathematics, differential equations, qualitative theory, dynamical systems, integral equations; Science: Mathematics

Materias / palabras clave: mathematical analysis, functional analysis; functional equations, integral equations; functional integral equations, set-valued integral equations; Science: Mathematics

Materias / palabras clave: integral and partial differential equations, dynamical systems, calculus of variations, geometric analysis; Science: Mathematics

Materias / palabras clave: nonlinear analysis, nonlinear functional analysis, differential equations, integral equations; Science: Mathematics: Analysis

Materias / palabras clave: mathematical modeling of physical media and other processes, numerical methods of continuum mechanics, differential and integral equations, dynamical systems, discrete mathematics; Science: Mathematics