This book is devoted to multiplicative analytic geometry. The book reflects recent investigations into 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 eight 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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Postgraduate and Professional
Illustrationen
10 s/w Abbildungen, 3 s/w Photographien bzw. Rasterbilder, 7 s/w Zeichnungen
7 Line drawings, black and white; 3 Halftones, black and white; 10 Illustrations, black and white
Maße
Höhe: 254 mm
Breite: 178 mm
Gewicht
ISBN-13
978-1-032-35098-1 (9781032350981)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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 and dynamic calculus on time scales.
Khaled Zennir was born in Skikda, Algeria, in 1982. He received his PhD in Mathematics in 2013 from Sidi Bel Abbes 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 and numerical analysis.
Autor*in
Qassim University
1. The Field R*. 2. Multiplicative Plane Euclidean Geometry. 3. Multiplicative Affine Transformations in the Multiplicative Euclidean Plane. 4. Finite Groups of Multiplicative Isometries of E?2. 5. Multiplicative Geometry on the Multiplicative Sphere. 6. The Projective Multiplicative Plane P?2. 7. The Multiplicative Distance Geometry on P?2. 8. The Hyperbolic Multiplicative Plane.
