Demidovich, Maron - Computational Mathematics

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Computational Mathematics 
by B. P. Demidovich, I. A. Maron. 
  
  The basic aim of this book is to give as far as possible a
  systematic and modern presentation of the most important methods and
  techniques of computational mathematics on the basis of the general
  course of higher mathematics taught in higher technical schools. The
  book has been arranged so that the basic portion constitutes a
  manual for the first cycle of studies in approximate computations
  for higher technical colleges. The text contains supplementary
  material which goes beyond the scope of the ordinary college course,
  but the reader can select those sections which interest him and omit
  any extra material without loss of continuity. The chapters and
  sections which may be dropped out in a first reading are marked with
  an asterisk.

  For a full comprehension of the contents of this book, the reader
  should have a background of linear algebra and the theory of linear
  vector spaces. With the aim of making the text as self-contained as
  possible, the authors have included all the necessary starting
  material in these subjects. The appropriate chapter are completely
  independent of the basic text and can be omitted by readers who have
  already studied these sections. 

  A few words about the contents of the book. In the main it is
  devoted to the following problems: operations involving approximate
  numbers, computation of functions by means of series and iterative
  processes, approximate and numerical solution of algebraic and
  transcendental equations, computational methods of linear algebra,
  interpolation of functions, numerical differentiation and
  integration of functions, and the Monte Carlo method.

  This book was translated from the Russian by George Yankovsky. The book was
  published by first Mir Publishers in 1973, with reprints in 1976,
  and 1981. The book below is from the 1981 reprint.
  
  All credits to the original uploader.

  DJVU | OCR | 17.1 MB | Pages: 688 |  

Table of Contents
PREFACE 

INTRODUCTION. 

GENERAL RULES OF COMPUTATIONAL WORK 

CHAPTER 1 
APPROXIMATE  NUMBERS 19

CHAPTER 2 
SOME FACTS FROM THE THEORY OF CONTINUOUS FRACTIONS 55

CHAPTER 3 
COMPUTING THE VALUES OF FUNCTIONS 77

CHAPTER 4 
APPROXIMATE SOLUTIONS OF ALGEBRAIC AND TRANSCENDENTAL EQUATIONS 115 

CHAPTER 5
SPECIAL TECHNIQUES FOR APPROXIMATE SOLUTION OF EQUATIONS 162

CHAPTER 6 
ACCELERATING THE CONVERGENCE OF SERIES 203 

CHAPTER 7 
MATRIX ALGEBRA 229

CHAPTER 8 
SOLVING  SYSTEMS OF LINEAR EQUATIONS 273 

CHAPTER 9
THE CONVERGENCE OF ITERATION PROCESSES FOR SYSTEMS OF LINEAR EQUATIONS 322

CHAPTER 10
ESSENTIALS OF THEORY OF LINEAR VECTOR SPACES 336

CHAPTER 11
ADDITIONAL FACTS ABOUT THE CONVERGENCE OF ITERATION PROCESSES FOR
SYSTEMS OF LINEAR EQUATIONS 394 

CHAPTER 12 
FINDING THE EIGENVALUES AND EIGENVECTORS OF A MATRIX 410 

CHAPTER 13 
APPROXIMATE SOLUTION OF SYSTEMS OF NONLINEAR EQUATIONS  459 

CHAPTER 14 
THE INTERPOLATION OF FUNCTIONS 507 

CHAPTER 15 
APPROXIMATE DIFFERENTIATION 574 

CHAPTER 16 
APPROXIMATE INTEGRATION OF FUNCTIONS 590 

CHAPTER 17 
THE MONTE CARLO METHOD 649 

COMPLETE LIST OF REFERENCES 675 

INDEX 679-------------------------------------Torrent downloaded from http://thepiratebay.se
Demidovich-Maron-Computational_Mathematics.djvu 17.928 MB
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