现货Calculus: The Logical Extension of Arithmetic[9781681082042]

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作者Seymour B. Elk

出版社Bentham Science Publishers

ISBN9781681082042

出版时间2017-01

装帧平装

纸张其他

正文语种英语

上书时间2023-08-04

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商品描述: Calculus: The Logical Extension of Arithmetic re-examines the calculus paradigm by expanding the set of ‘indeterminate forms’ espoused by l’H?pital 320 years ago. Starting from the 54 possible binary combinations of the foundational numbers (zero, one and infinity), a replacement for the function theory formulated earlier by Newton and Leibniz, is presented. A logical extension of the three concepts of differentiation, integration and the Naperian base number e follows this introduction, which is interpreted as ‘zero divided by zero’, ‘infinity times zero’ and ‘one raised to the infinite power’, respectively. The concept that a number postulated as representing ‘nothing’ is reinforced a useful connection to calculus theory. This treatise proposes a ‘similar’ number to denote and quantify ‘all’, in order to understand the concept of infinity. Other topics covered in this text include analytical geometry, infinite sequences and infinite series.
Calculus: The Logical Extension of Arithmetic is a useful reference on advanced calculus theory for mathematics students and researchers.

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