Computational Mathematics – Demidovich, Maron

Posted on December 26, 2012 by desperadomar

We now come to Computational Mathematics by B. P. Demidovich,
  I. A. Maron.

computational mathematics

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.

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Pogorelov – Analytical Geometry

Posted on December 26, 2012 by damitr

We now come to Analytical Geometry by A. V. Pogorelov.

analytical geometry

  Analytical geometry has no strictly defined contents. It is the   method but not the subject under investigation, that constitutes the   leading feature of this branch of geometry.   The essence of this method consists in that geometric objects are   associated in some standard way with equations (or systems of   equations) so that geometric relations of figures are expressed   through properties of their equations.   For instance, in case of Cartesian coordinates any straight line in   the plane is uniquely associated with a linear equation ax+by+ c =   0.   The intersection of three straight, lines at one point is     expressed by the condition of compatibility of a system of three     equations which specify these lines.

Due to a multi purpose approach to solving various problems, the     method of analytic geometry has become the leading method in     geometric investigations and is widely applied in other fields of     exact natural sciences, such as mechanics and physics.     Analytical geometry joined geometry with algebra and analysis –     the fact which has told fruitfully on further development of     these three subject of mathematics.     The principal ideas of analytical geometry are traced back to the     French mathematician, Rene Descartes (1595-1650), who in 1637     described the fundamentals of its method in his famous work     “Geometric”.

The present book, which is a course of lectures, treats the
fundamentals of the method of analytic geometry as applied to the
simplest geometric objects. It is designed for the university
students majoring in physics and mathematics,

This book was translated from the Russian by Leonid Levant and
was first published by Mir Publishers in 1980.

Thanks 0kelvin for providing this earler link. The current copy is a cleaned version from the earlier one with cover added.

DJVU | 3.1 MB | Pages: 239 | dpi |
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Travel To Distant Worlds – Gilzin

Posted on December 25, 2012 by desperadomar

We now come to Travel to Distant Worlds by Karl Gilzin. This is a   very optimistic book about future, written at just the beginning of   space age.

travel to distant worlds

The youth throughout the world have been manifesting a great   interest in the problem of space travel. This interest has long   since ceased to be a question of idle curiosity: “Is space travel   possible?” Every pupil now knows the answer to this question. The   interest of our young people in the problem of space travel has   assumed quite concrete form. They want to know what interplanetary   flights are possible today, at the present level of scientific and   technical develop- ment, they want to know what achievements have   been attained in the de- velopment of remarkable reaction engines,   which will be the vital part of any interplanetary vessel. These   young people question the astronomers about the routes of future   cosmic flights. They question the doctors about the specific effects   of space travel on the human organism. They are interest- ed in the   possibility of a collision between a space ship and meteors, in the   possibility of using artificial satellites of the Earth and in many   other things.

In a few words, our youth are keenly interested in   all the problems covered by the science of space travel. This   science has already developed to such an extent, especially during   the past decade, that it is impossible even to attempt any detailed   account of its achievements in any one book.  If this publication   succeeds in replying to some of the questions put by our young   readers, if it arouses their greater interest and curiosity, its aim   will have been achieved.

This book was translated from the Russian by Pauline Rose and   illustrated by N. Kolchitsky and designed by G. Dauman. The book was   published by Foreign Languages Publishing House in 1957.

All credits to the Osmania University for releasing this book in
public domain and thanks to the Internet Archive for storing this book.

You can get the book here

A completely new and clean scan here.

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Higher Algebra – Kurosh

Posted on December 25, 2012 by desperadomar

In this post we see Higher Algebra by A. Kurosh.

kurosh_higher_algebra

The education of the mathematics major begins with the
study of three basic disciplines: mathematical analysis, analytic
geometry and higher algebra. These disciplines have a number of
points of contact, some of which overlap; together they constitute
the foundation upon which rests the whole edifice of modern
mathematical science.

Higher algebra – the subject of this text – is a far-reaching and
natural generalization of the basic school course of elementary
algebra. Central to elementary algebra is without doubt the problem
of solving equations. The study of equations begins with the very
simple case of one equation of the first degree in one unknown. From
there on, the development proceeds in two directions: to systems of
two and three equations of the first degree in two and, respectively,
three unknowns, and to a single quadratic equation in one unknown and
also to a few special types of higher-degree equations which readily
reduce to quadratic equations (quartic equations, for example). Both
trends are further developed in the course of higher algebra, thus
determining its two large areas of study. One – the foundations of
linear algebra – starts with the study of arbitrary systems of
equations of the first degree (linear equations). When the number of
equations equals the number of unknowns, solutions of such systems
are obtained by means of the theory of determinants.

The second half of the course of higher algebra, called the algebra
of polynomials, is devoted to the study of a single equation in one
unknown but of arbitrary degree. Since there is a formula for solving
quadratic equations, it was natural to seek similar formulas for
higher-degree equations. That is precisely how this division of
algebra developed historically. Formulas for solving equations of
third and fourth degree were found in the sixteenth century. The
search was then on for formulas capable of expressing the roots of
equations of fifth and higher degree in terms -of the coefficients of
the equations by means of radicals, even radicals within radicals. It
was futile, though it continued up to the beginning of the nineteenth
century, when it was proved that no such formulas exist and that for
all degrees beyond the fourth there even exist specific examples of
equations with integral coefficients whose roots cannot be written
down by means of radicals.

This book was translated from the Russian by George Yankovsky. The  book was published by first Mir Publishers in 1972, with reprints in  1975, 1980 and 1984. The book below is from the 1984 reprint.

All credits to the original uploader.

You can get the book here.

and here

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Problems in Mathematical Analysis – Demidovich (Ed.)

Posted on December 25, 2012 by desperadomar

We now come to Problems in Mathematical Analysis edited by B. P. Demidovich. The list of authors is G. Baranenkov, B. Demidovich, V. Efimenko, S. Kogan, G. Lunts, E. Porshneva, E. Sychera, S. Frolov, R. Shostak and A.  Yanpolsky.

Problems in Mathematical Analysis

This collection of problems and exercises in mathematical analysis
covers the maximum requirements of general courses in higher
mathematics for higher technical schools. It contains over 3,000
problems sequentially arranged in Chapters I to X covering branches
of higher mathematics (with the exception of analytical geometry)
given in college courses. Particular attention is given to the most
important sections of the course that require established skills
(the finding of limits, differentiation techniques, the graphing of
functions, integration techniques, the applications all of definite
integrals, series, the solution of differential equations).

Since some institutes have extended courses of mathematics, the
authors have included problems on field theory, method, and the
Fourier approximate calculaiions. Experience shows that problems
given in this book not only fully satisfies the number of the
requirements of the student, as far as practical mastering of the
various sections of the course goes, but also enables the instructor
to supply a varied choice of problems in each section to select
problems for tests and examinations.

Each chapter begins with a brief theoretical introduction that
covers the basic definitions and formulas of that section of the
course. Here the most important typical problems are worked out in
full. We believe that this will greatly simplify the work of the
student. Answers are given to all computational problems; one
asterisk indicates that hints to the solution are given in the
answers, two asterisks, that the solution is given. The are
frequently illustrated by drawings.

This collection of problems is the result of many years of teaching
higher mathematics in the technical schools of the Soviet Union. It
includes, in addition to original problems and examples, a large
number of commonly used problems.

This book was translated from the Russian by George Yankovsky. The  book was published by first Mir Publishers in 1970.

All credits to the original uploader.

Thanks Siddharth for providing the link.

PDF | OCR | 15.2 MB | Pages: 511 |

Update 13 May 2018: The Internet Archive link

and here

You can get the book here
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Mathematical Logic – Ershov, Palyutin

Posted on December 25, 2012 by desperadomar

In this post we will see Mathematical Logic by Yu. L. Ershov,  E. A. Palyutin.

Ershov-Palyutin-Mathematical_Logic-fc copy

This book presents in a systematic way a number of topics in modern
mathematical logic and the theory of algorithms. It can be used as
both a text book on mathematical logic for university students and
a text for specialist courses. The sections corresponding to the
obligatory syllabus (Sections 1 to 9 of Chapter 1,without the small
type, Sections 10 and 11 of Chapter 2, Sections 15 and 16 of Chapter
3,Sections 18 to 20, 22 and 23 of Chapter 4 and Section 35of Chapter 7) are written more thoroughly and in more detail than the sectionsrelating to more special questions.
The exposition of the propositional calculus and the calculus of predicates is not a conventional one, beginning as it does with a study of sequential variants of the calculi of natural deduction( although the traditional calculi, referred to as Hilbertian ,also appears here). The reasons for this are:
A) the possibility of providing a good explanation of the meaning of all the rules of inference;
B) the possibility of acquiring more rapidly the knack of making formal proofs;
C) a practical opportunity of making all the formal proofs necessary in the course for these calculi.

This book was translated from the Russian by Vladimir Shokurov. The book was published by first Mir Publishers in 1984.

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DJVU | OCR | 4.3 MB | Pages: 302 |

Update 31 May 2018: Added Internet Archive link

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A Problem Book in Algebra – Krechmar

Posted on December 25, 2012 by desperadomar

In this post we will see A Problem Book in Algebra by   V. A. Krechmar.

krechmar

This book contains 486 problems in various fields of algebra with
solutions for the problems.

This book was translated from the Russian by Victor Shiffer and the
translation was edited by Leonid Levant. The book was published by
first Mir Publishers in 1974 and reprinted in 1978.

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Selected Problems and Theorems in Elementary Mathematics – Shklyarsky, Chentsov, Yaglom

Posted on December 25, 2012 by desperadomar

In this post we will see Selected Problems and Theorems in
Elementary Mathematics – Arithmetic and Algebra by D. O. Shklyarsky,  N. N. Chentsov and I. M. Yaglom. This is another book in the  Problems and Solutions series.

Shklyarsky-Chentsov-Yaglom-Selected_Problems_and_Theorems_in_Elementary_Mathematics

This book contains the conditions of problems, the answers and hints  to them and the solutions of the problems. The conditions of the most difficult problems are marked by stars.

We recommend the reader to start with trying to solve without
assistance the problem he is interested in. In case this attempt
fails he can read the hint or the answer to the problem, which may
facilitate the solution, Finally, if this does not help, the
solution of the problem given in the book should be studied. However, for the starred problems it may turn out to be appropriate to begin with reading the hints or the answers before proceeding to solve the problems.

Most of the problems in the book are independent of one another
except those in the last two sections (“Complex Numbers” and
“Several Problems in Number Theory”) where the problems are more  closely interrelated.

It is advisable to choose a definite section ot the book and to spend some time on solving the problems of that section. Only alter that (this does not of course mean that all the problems or most of the problems must necessarily be solved) should the reader pass to another section and so on. However, the order in which the sections are arranged in the book may not be followed. The solutions of some
problems include indications concerning possible generalisations of the conditions of the problems. The reader is advised to think of similar generalizations for other problems; it is also interesting to try to state new problems akin to those collected in this book.

This book was translated from the Russian by V. M. Volosov and
I. G. Volosova. The book was published by first Mir Publishers in
1978.

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PDF | 15.3 MB | Pages: 432 | Bookmarked | OCR
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Problems In Calculus Of One Variable – Maron

Posted on December 25, 2012 by desperadomar

We now come to Problems in Calculus of One Variable (With Elements  of Theory) by Issac A. Maron

I A Maron

This textbook on mathematical analysis is based on many years’
experience of lecturing at a higher technical college. Its aim is to
train the students in active approach to mathematical exercises, as
is done at a seminar. Much attention is given to problems improving
the theoretical background. Therefore standard computational
exercises are supplemented by examples and problems explaining the  theory, promoting its deeper understanding and stimulating precise  mathematical thinking. Some counter examples explaining the need for  certain conditions in the formulation of basic theorems are also  included.

The book is designed along the following lines. Each section opens
with a concise theoretical introduction containing the principal
definitions, theorems and formulas. Then follows a detailed solution
of one or more typical problems. Finally, problems without solution
are given, which are similar to those solved but contain certain
peculiarities. Some of them are provided with hints.

These sections should prove of interest to the inquiring student,
and possibly also to lecturers in selecting material for classwork
or seminars.

This book was translated from the Russian by Leonid Levant. The book was published by first Mir Publishers in 1973. The book is still in print in Indian edition by CBSPD.

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Love and Mathematics: Sofya Kovalevskaya – Kochina

Posted on December 25, 2012 by desperadomar

In this post we will see a biography of Soviet woman mathematician
by the title Love and Mathematics: Sofya Kovalevskaya  by Pelageya  Kochina. This book was edited by A. Yu. Ishlinsky and
Z. K. Sokolovskaya.

               

The sheer personality of Sofya Kovalevskaya, the renowned Russian  woman mathematician, was so remarkable, multifaceted, and  interesting that the great Norwegian playwright Henrik Ibsen said to  write her biography would need a poem. My aim in writing this book  is different and somewhat more modest: it is to present the basic  information about her life from the numerous sources available.

This book was translated from the Russian by Michael Burov. The
book was published by first Mir Publishers in 1985.

Update June 2026

New cleaner scan added

You can get it here and here

All credits to the original uploader.

 

Thanks for Mir1 for providing this link

Get the book here and here

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