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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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e (The number)  Number theory  Napier, John  e [The number ]  E (The number).  Musique.  Music.  Bernoulli, Johann  Bernoulli, Jean,  Exponential functions.  Fonctions exponentielles.  Bernoulli, Jakob,  Bernoulli, Jacques  Euler, Leonhard  Euler, Leonhard,  Logarithms.  Logarithmes.
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A detailed exposition, with applications to problems in potential theory and quantum field theory.
Green's functions.  Exponential functions.  Mathematical physics.  Physical mathematics  Physics  Functions, Exponential  Hyperbolic functions  Exponents (Algebra)  Logarithms  Transcendental functions  Functions, Green's  Functions, Induction  Functions, Source  Green functions  Induction functions  Source functions  Differential equations  Potential theory (Mathematics)  Mathematics
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