Multiplicative Euclidean and Non-Euclidean Geometry-电子书百科大全

Multiplicative Euclidean and Non-Euclidean Geometry book cover

Multiplicative Euclidean and Non-Euclidean Geometry

Author(s): Svetlin G. Georgiev (Author)

Publisher: Cambridge Scholars Publishing
Publication Date: Oct. 17 2022
Edition: 1st
Language: English
ISBN-10: 1527589978
ISBN-13: 9781527589971

Book Description

Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later, Leonard Euler redirected calculus by giving a central place to the concept of function, and thus founded analysis. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. From 1967 until 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions in this area. It will appeal to a wide audience of specialists such as mathematicians, physicists, engineers and biologists, and can be used as a textbook at the graduate level or as a reference book for several disciplines.

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