Multiplicative Analytic Geometry
eBook - ePub

Multiplicative Analytic Geometry

  1. 238 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Multiplicative Analytic Geometry

About this book

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.

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Yes, you can access Multiplicative Analytic Geometry by Svetlin G. Georgiev,Khaled Zennir,Aissa Boukarou in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebraic Geometry. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. 1 The Field ℝ⋆
  8. 2 Multiplicative Plane Euclidean Geometry
  9. 3 Multiplicative Affine Transformations
  10. 4 Finite Groups of Multiplicative Isometries of E⋆2
  11. 5 Multiplicative Geometry
  12. 6 The Projective Multiplicative Plane P⋆2
  13. 7 The Multiplicative Distance Geometry on P⋆2
  14. 8 The Hyperbolic Multiplicative Plane
  15. Bibliography
  16. Index