Multiplicative Analytic Geometry
暫譯: 乘法解析幾何
Zennir, Khaled, Boukarou, Aissa, Georgiev, Svetlin G.
- 出版商: CRC
- 出版日期: 2022-11-24
- 售價: $4,020
- 貴賓價: 9.5 折 $3,819
- 語言: 英文
- 頁數: 240
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032350989
- ISBN-13: 9781032350981
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相關主題
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)
這本書專注於乘法解析幾何。書中反映了該主題的最新研究。讀者可以利用主要公式來研究乘法微分方程、乘法積分方程和乘法幾何。
作者總結了該領域的最新貢獻。作者的目標是將該主題的最新研究以能夠進一步學習的形式呈現給有能力的高年級本科生、初學的研究生以及研究人員。這本書包含七個章節，章節的組織方式具有教學性。每個章節結尾都有一個實用問題的部分。
微分和積分這兩個運算在微積分和分析中是基本的。事實上，它們分別是數字的減法和加法運算的無窮小版本。在1967年至1970年期間，Michael Grossman和Robert Katz給出了新型導數和積分的定義，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。乘法微積分特別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、克利福德分析和四元數分析、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的斯基克達。他於2013年在阿爾及利亞的西迪貝爾阿比斯大學獲得數學博士學位（助理教授）。他於2015年5月在阿爾及利亞的君士坦丁大學獲得最高學位（數學資格認證，副教授）。他目前是沙烏地阿拉伯卡西姆大學的副教授。他的研究興趣在於非線性雙曲型偏微分方程：全球存在性、爆破現象及長時間行為。
Aissa Boukarou於2021年在阿爾及利亞的加爾達伊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。
