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.
