Titlebook: Mathematics and Mechanics - The Interplay; Volume I: The Basics Luigi Morino Book 2021 Springer-Verlag GmbH Germany, part of Springer Natur

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Basic Euclidean Geometrytriangles) are reviewed. The primary objective is the Pythagorean theorem and related results, which are essential for the later introduction of the traditional trigonometric functions, namely sine, cosine and tangent. The level of sophistication used is pretty much that used by Euclid, namely that used in high school.

Generosity

Real Functions of a Real Variablenamely sine, cosine and tangent and their inverses), and powers of positive real numbers with real exponents. Linear dependence/independence of functions are also addressed. We also discuss composite functions and inverse functions, as well as single–valued and multi–valued functions.

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Basic Analytic Geometryan axes, abscissas and ordinates. Then, roughly speaking, we use mathematical formulas to represent geometrical figures such as a circle on a plane, or a sphere in space, and study their properties. Conics – namely ellipses, parabolas and hyperbolas – are addressed along with their canonical and polar representations.

Melanoma

艺术

Taylor Polynomialsh a polynomial of order . that best fits it in a suitable neighborhood of ..Such a polynomial is called the Taylor polynomial of degree n of the function .(.) about . = .. Analyses of the error involved in the approximation are thoroughly discussed. Included are the Taylor polynomials of most of the functions introduced thus far.

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https://doi.org/10.1007/978-3-662-63207-9Interplay between Mathematics and Mechanics; Mathematics and Mechanics; Mechancs and Mathematics; Basic

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Springer-Verlag GmbH Germany, part of Springer Nature 2021