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Bigeometric Calculus:: A System with a Scale-Free Derivative
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Editorial Reviews — ... Product Description | This book contains a detailed account of the bigeometric calculus, a non-Newtonian calculus in which the power functions play the role that the linear functions play in the classical calculus of Newton and Leibniz. This nonlinear system provides mathematical tools for use in science, engineering, and mathematics. It appears to have considerable potential for use as an alternative to the classical calculus. It may well be that the bigeometric calculus can be used to define new concepts,...more
Fréchet Derivative: Mathematics, Derivative, Banach space, Maurice René Fréchet, Functional derivative, Calculus of variations, Linear approximation, Function ... Gâteaux derivative, Directional derivative
Editorial Reviews — ... Product Description | In mathematics, the Fréchet derivative is a derivative defined on Banach spaces. Named after Maurice Fréchet, it is commonly used to formalize the concept of the functional derivative used widely in the calculus of variations. Intuitively, it generalizes the idea of linear approximation from functions of one variable to functions on Banach spaces. The Fréchet derivative should be contrasted to the more general Gâteaux derivative which is a generalization of the classical directional...more
Students' conceptual understanding of a function and its derivative in an experimental calculus course [An article from: Journal of Mathematical Behavior]
Editorial Reviews — ... Product Description | This digital document is a journal article from Journal of Mathematical Behavior, published by Elsevier in . The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser. Description: Calculus has been witnessing fundamental changes in its curriculum, with an increased emphasis on visualization. This mode for representing mathematical concepts is gaining more strength due to the advances in computer...more
Linear Operators in Calculus: Derivative, Integral, Antiderivative, Gradient, Curl, Divergence, Finite Difference, Laplace Operator
Editorial Reviews — ... Product Description | Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Derivative, Integral, Antiderivative, Gradient, Curl, Divergence, Finite Difference, Laplace Operator, Differential of a Function, Second Derivative, Indefinite Sum, Differintegral, Composition Operator. Excerpt: The slope field of ( x ) = (x /3)-(x /2)-x+c, showing three of the infinitely many solutions...more
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