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The Role of Mathematics in Science aims to illustrate the many ways in which mathematical methods have helped discovery in science. It is aimed at a group of readers who are interested in mathematics beyond the level of high school. The authors occasionally use some calculus and more intricate arguments. The book should appeal to college students and general readers with some background in mathematics. The authors state that, 'If we succeed in giving an impression of the beauty and power of mathematical reasoning in science, the purpose of our work will have been achieved.' This book includes the laws of levers and inclined planes, the laws of exponential versus limited population growth, ray optics, and relativity.
Exponential functions.  Mathematical analysis.  517.1 Mathematical analysis  Mathematical analysis  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions
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Approximation theory  Exponential functions  517.518.8  519.6  681.3*G12  681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis)  Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis)  519.6 Computational mathematics. Numerical analysis. Computer programming  Computational mathematics. Numerical analysis. Computer programming  517.518.8 Approximation of functions by polynomials and their generalizations  Approximation of functions by polynomials and their generalizations  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Theory of approximation  Functional analysis  Functions  Polynomials  Chebyshev systems
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Functions, Special.  Gamma functions.  Exponential functions.  Error functions.  517.58  Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials.  Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis)  681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis)  517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials.  519.6  681.3*G12  519.6 Computational mathematics. Numerical analysis. Computer programming  Computational mathematics. Numerical analysis. Computer programming  Mathematical analysis
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