(DOWNLOAD) "Calculus: The Logical Extension of Arithmetic" by Seymour B. Elk # Book PDF Kindle ePub Free
eBook details
- Title: Calculus: The Logical Extension of Arithmetic
- Author : Seymour B. Elk
- Release Date : January 14, 2016
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 19050 KB
Description
Calculus: The Logical Extension of Arithmetic re-examines the calculus paradigm by expanding the set of ‘indeterminate forms’ espoused by l’HΓ΄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.