Multiplicative Differential Calculus Av Svetlin Georgiev, Khaled (Qassim University) Zennir

Multiplicative Differential Calculus Av Svetlin Georgiev, Khaled (Qassim University) Zennir

This book is devoted to the multiplicative differential calculus. Its seven pedagogically organized chapters summarize the most recent contributions in this area, concluding with a section of practical problems to be assigned or for self-study.Two operations, differentiation and......
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<P>This book is devoted to the multiplicative differential calculus. Its seven pedagogically organized chapters summarize the most recent contributions in this area, concluding with a section of practical problems to be assigned or for self-study.</P><P></P><P>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 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. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering.</P><P></P><B><I><P>Multiplicative Differential Calculus</B></I> is written to be of interest to a w
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This book is devoted to the multiplicative differential calculus. Its seven pedagogically organized chapters summarize the most recent contributions in this area, concluding with a section of practical problems to be assigned or for self-study.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 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. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering.Multiplicative Differential Calculus is written to be of interest to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily a textbook at the senior undergraduate and beginning graduate level and may be used for a course on differential calculus. It is also for students studying engineering and science.AuthorsSvetlin G. Georgiev is a mathematician who has worked in various areas of the study. 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. He is also the author of Dynamic Geometry of Time Scales (CRC Press). He is a co-author of Conformable Dynamic Equations on Time Scales, with Douglas R. Anderson (CRC Press).Khaled Zennir earned his PhD in mathematics from Sidi Bel Abbès University, Algeria. He earned his highest diploma in Habilitation in Mathematics from Constantine University, Algeria. He is currently Assistant Professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.The authors have also published: Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDE; Boundary Value Problems on Time Scales, Volume 1 and Volume II, all with CRC Press.

Produktinformasjon

Oppdag Multiplicative Differential Calculus Av Svetlin Georgiev og Khaled Zennir

Multiplicative Differential Calculus er en banebrytende lærebok som tar for seg det unike feltet innen differensialregning kjent som multiplicativ kalkulus. Denne boken er spesielt nyttig for studenter og fagfolk innen matematikk, ingeniørfag, biofag, og økonomi som ønsker å utforske nye metoder for analyse.

Bokstruktur og Innhold

Innholdet i boken er inndelt i syv pedagogiske kapitler, som systematisk bygger opp en forståelse av kvantitative analyser i det multiplicative perspektivet. Hvert kapittel er designet for å veilede leseren gjennom:

  • Teoretiske begreper: Utforsk de viktigste operasjonene innen differensiering og integrering.
  • Praktiske oppgaver: Avslutt med et segment som inneholder praktiske eksempler og oppgaver for både klassearbeid og selvstudium.
  • Aktuelle bidrag: Inkluderer nyeste forskning og innsikt fra feltet multiplicativ kalkulus.

Hvorfor Velge Multiplicative Differential Calculus?

Multiplicative Differential Calculus gir deg et alternativ til den tradisjonelle Newtonianske kalkulusmetoden, som kan være en game changer for studenter og fagfolk. Dette omfattende verket tilbyr:

  • En grundig forståelse av hvordan subtraksjon og addisjon kan omformes til divisjon og multiplikasjon.
  • Verktøy som kan anvendes i komplekse økonomiske og ingeniørmessige modeller.
  • Relevante eksempler fra virkeligheten som viser bokens anvendelighet.

Forfatterne Bak Verket

Svetlin G. Georgiev og Khaled Zennir er anerkjente forskere med betydelig erfaring innen matematikk og ingeniørfag. Georgiev har bred kompetanse innen flere grener av matematikken, mens Zennir er spesialist på partielle differensialligninger og har stor erfaring med anvendelser i naturvitenskapene.

Enten du er student på siste års nivå eller en nyutdannet gradstudent, gir Multiplicative Differential Calculus deg verktøyene du trenger for å forstå og anvende det multiplicative kalkulusparadigmet i din faglige karriere.

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ProduktnavnMultiplicative Differential Calculus av Svetlin Georgiev, Khaled (Qassim University) Zennir
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