Computing Algorithms of Solution of Problems of Applied Mathematics and Their Standard Program Realization. Part 1: Deterministic Mathematics


Kartlos Kachiashvili
Professor of Georgian Technical University, Main Scientific Worker of I. Vekua Institute of Applied Mathematics of Tbilisi State University, Tbilisi, Georgia

Melikdzhanian D.Yu., PhD
I. Vekua Institute of Applied Mathematics, Tbilisi State University, Tbilisi, Georgia

Prangishvili A.I.
Dr. of Sc., Professor, Academician of Academy of Science of Georgia, Rector of Georgian Technical University, Tbilisi, Georgia

Series: Mathematics Research Developments
BISAC: MAT000000

Algorithms were always an important part of many branches in the sciences. In many manuals and handbooks, algorithms of problems of computational mathematics are focused on the manual performance or by means of a calculator. In this book, descriptions of algorithms, their solutions and main characteristics are discussed.

The present work is the outcome of many years of the authors’ work on solving different problems and tasks from domains of instruction making, metrology, system analysis, ecology, data analysis from ecology, agriculture, medicine and creation of corresponding universal computer packages and systems.

(Imprint: Nova)


Table of Contents

Table of Contents

List of Figures

List of Tables

Chapter 1 – Numerical Methods of Linear Algebra (pp. 1-42)

Chapter 2 – Numerical Analysis of Power Series and Polynomials (pp. 43-116)

Chapter 3 – Solution of Nonlinear Equations and Determination of Extremums (pp. 117-134)

Chapter 4 – Interpolation and Approximation of Functions (pp. 135-174)

Chapter 5 – Numerical Differentiation and Integration  (pp. 175-190)

Chapter 6 – Calculation of Values of Some Functions (pp. 191-294)

Chapter 7 – Numerical Methods for Solving Differential Equations (pp. 295-332)

Chapter 8 – Numerical Methods Used in Geometry (pp. 333-348)


About the Authors


Additional information