## Methods of Mathematics Applied to Calculus, Probability, and StatisticsUnderstanding calculus is vital to the creative applications of mathematics in numerous areas. This text focuses on the most widely used applications of mathematical methods, including those related to other important fields such as probability and statistics. The four-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. In addition to three helpful appendixes, the text features answers to some of the exercises. Appropriate for advanced undergraduates and graduate students, it is also a practical reference for professionals. 1985 edition. 310 figures. 18 tables. |

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algebra angle answer antiderivative apply approximation binomial coefﬁcients calculus circle coefﬁcients complex numbers compute constant convergence coordinate system corresponding curve deﬁned deﬁnition denominator derivative difference differential equation difﬁcult distance distribution divide error Example EXERCISES expected value exponential factor ﬁeld Figure ﬁnal ﬁnally ﬁnd ﬁnding ﬁnite number ﬁrst ﬁt ﬁxed formula Fourier series function geometric geometric progression given gives Hence homogeneous equation improper integral induction inﬁnite integers integral integrand interval least squares limit linear linearly independent mathematical induction mathematics mean mean value theorem method multiply negative notation original outcomes parabola parameters plane polynomial positive probability problem quadratic radius random variable rational numbers result right-hand side roots rotation rule sample space secant line Section sequence shows simple slope solution solve speciﬁc straight line substitution Suppose symmetry tangent line theorem trials triangle undetermined coefﬁcients volume write x-axis zero