Multiplicative Analytic Geometry

Zennir, Khaled, Boukarou, Aissa, Georgiev, Svetlin G.

Multiplicative Analytic Geometry
  • 出版商: CRC
  • 出版日期: 2022-11-24
  • 售價: $4,380
  • 貴賓價: 9.5 折 $4,161
  • 語言: 英文
  • 頁數: 240
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032350989
  • ISBN-13: 9781032350981

    • 海外代購書籍(需單獨結帳)

商品描述

This book is devoted to multiplicative analytic geometry. The book reflects recent investigations in the topic. The reader can use the main formulae for investigations of multiplicative differential equations, multiplicative integral equations, and multiplicative geometry.

The authors summarize the most recent contributions in this area. The goal of the authors is to bring the most recent research on the topic to capable senior undergraduate students, beginning graduate students of engineering and science, and researchers in a form to advance further study. The book contains seven chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems.

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. In the period from 1967 till 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.

Multiplicative Analytic Geometry builds upon multiplicative calculus and advances the theory to the topics of analytic and differential geometry.

商品描述(中文翻譯)

本書專注於乘法解析幾何。該書反映了該主題的最新研究。讀者可以使用主要公式進行乘法微分方程、乘法積分方程和乘法幾何的研究。

作者總結了該領域的最新貢獻。作者的目標是以一種能夠推進進一步研究的形式，將該主題的最新研究帶給有能力的高年級本科生、開始攻讀工程和科學研究生以及研究人員。該書共有七章。該書的章節組織有教學性。每章結束時都有一個包含實際問題的部分。

微分和積分是微積分和分析學中的基礎操作。事實上，它們分別是數字上的減法和加法操作的微小版本。從1967年到1970年，Michael Grossman和Robert Katz給出了一種新型的導數和積分的定義，將減法和加法的角色轉移到除法和乘法上，從而建立了一種新的微積分，稱為乘法微積分。乘法微積分尤其可以作為經濟學和金融學的數學工具。

乘法解析幾何建立在乘法微積分的基礎上，並將理論推進到解析幾何和微分幾何的主題。

作者簡介

Svetlin G. Georgiev (born 05 April 1974, Rouse, Bulgaria) is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, dynamic calculus on time scales.

Khaled zennir was born in Skikda, Algeria 1982. He received his PhD in Mathematics in 2013 from Sidi Bel Abbès University, Algeria (Assist. professor). He obtained his highest diploma in Algeria (Habilitation, Mathematics) from Constantine university, Algeria in May 2015 (Assoc. professor). He is now associate Professor at Qassim university, KSA. His research interests lie in Nonlinear Hyperbolic Partial Differential Equations: Global Existence, Blow-Up, and Long Time Behavior.

Aissa Boukarou received his PhD in Mathematics in 2021 from Ghardaia University, Algeria (Assist. professor). His research interests lie in Partial differential equations, Harmonic analysis, Stochastic PDE, Numerical Analysis.

作者簡介(中文翻譯)

Svetlin G. Georgiev（出生於1974年4月5日，保加利亞羅烏斯）是一位數學家，曾在數學的各個領域工作。他目前專注於調和分析、泛函分析、偏微分方程、常微分方程、克利福德和四元數分析、積分方程以及時間尺度上的動態微積分。

Khaled Zennir於1982年出生於阿爾及利亞斯基克達。他於2013年從阿爾及利亞西迪貝爾阿貝斯大學獲得數學博士學位（助理教授）。他於2015年5月從阿爾及利亞康斯坦丁大學獲得阿爾及利亞最高學位（數學博士，副教授）。他現在是沙特阿拉伯卡西姆大學的副教授。他的研究興趣包括非線性双曲型偏微分方程：全局存在、爆破和長時間行為。

Aissa Boukarou於2021年從阿爾及利亞加爾代亞大學獲得數學博士學位（助理教授）。他的研究興趣包括偏微分方程、調和分析、隨機偏微分方程、數值分析。

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