Hydrodynamics For Aeronautical Engineers by B. Nekrasov

Posted on June 7, 2024 by The Mitr

In this post, we will see the book Hydrodynamics For Aeronautical Engineers by B. Nekrasov.

About the book

 Boris Nekrasov is an eminent Soviet expert in hydraulics and its industrial applications. An excellent textbook originally written for aeronau­tical engineering students, it also presents the main general hydraulic problems as well as fundamentals of the theory of hydraulic machinery employed in aircraft systems.
The practical applications of hydraulic theory being the author’s main concern, the book contains many worked problems for simple hydraulic sys­tems and machinery. One hundred and seventy- eight drawings and diagrams amply illustrate the principles and their practical applications dis­cussed in the book.

Translated from the Russian by V. Talmy

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Theory Of Turbulent Plasma by A. A. Vedenov

Posted on June 6, 2024 by The Mitr

In this post, we will see the book Theory Of Turbulent Plasma by A. A. Vedenov.

About the book

This monograph reviews the theory of turbulent plasma. Chapter I outlines methods for describing laminar and weakly turbulent plasma dynamics, which inform the discussion of collective oscillations (Chapter 2) and laminar plasma stability (Chapter 3), with experimental confirmation. Chapter 4 examines hysteresis in transitions between laminar and turbulent states. Chapter 5 details the quasi-linear theory of tenuous plasma, predicting particle distribution plateaus, confirmed experimentally. Chapters 6 and 7 address interactions between plasma oscillations and kinetic equations for wave distribution functions. Chapter 8 proposes a principle for spectral energy density in strongly turbulent plasma, validated by experiments on turbulent gravitational waves. Chapter 9 discusses transport coefficients in turbulent plasma, and Chapter 10 explores electromagnetic wave scattering in turbulent plasma, pertinent to ionospheric and laboratory studies.

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The Theory Of Optimum Noise Immunity by V. A. Kotel’nikov

Posted on June 5, 2024 by The Mitr

In this post, we will see the book The Theory Of Optimum Noise Immunity by V. A. Kotel’nikov.

About the book

This book is the author’s doctoral dissertation, presented in January, 1947, before the academic council of the Molotov Energy Institute in Moscow. Despite the fact that many works devoted to noise immunity have appeared in the time that has elapsed since the writing of this dissertation, not all of the topics considered in it have as yet appeared in print. Considering the great interest shown in these matters, and also the number of references made to this work in the literature, the author has deemed it appropriate to publish it, without introducing any supplementary material. However, in preparing the manuscript for publication, it was somewhat condensed, at the expense of material of secondary interest. Moreover, Chapter 2, which contains auxiliary mathematical material, has been revised somewhat, to make it easier reading, and some of the material has been relegated to the appendices.
This investigation of the performance of various communications systems in the presence of additive Gaussian noise is a basic work in information theory. In it, Dr.
Kotel’nikov, one of the few electronics engineers to be elected an Academician of the Academy of Sciences of the U.S.S.R., provides remarkably clear expositions of his important contributions, many of which anticipated similar developments in the West by a considerable period of time.
To enable the reader to use the book more readily, the author first sets the frame­ work of the problems to be considered and helps the reader to sharpen his mathe­matical tools for the rest of the book. The second part then treats of the transmission of discrete messages, while the third and fourth parts cover transmission of a continuous parameter value and continuous time functions. Each of these parts contains examples of the application of general theory to special types of com­munications systems: AM, FM, PAM, PPM, SSB, and others.
Idle author’s statistical analysis of his problems invokes what are now called decision theory techniques. His approach, however, is that of the practical engineer, necessitating only elementary notions of probability theory. The reader with some familiarity with Fourier series, discrete and continuous probabilities and probability densities will have little trouble in following the text. Extensive use-of geometrical models of the signalling and detection process is very helpful to the student.

Translated from the Russian by R. A. Silverman

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Linear Differential Operators: Part 1 – Elementary Theory of Linear Differential Operators by M. A. Naimark

Posted on June 4, 2024 by The Mitr

In this post, we will see the book Linear Differential Operators: Part 1 – Elementary Theory of Linear Differential Operators by M. A. Naimark.

About the book

In the present book, the theory of linear, ordinary, differential operators of arbitrary order is developed. Extensive use is made of the ideas and theorems of functional analysis, especially those of the theory of linear operators in Hilbert space. For the reader’s convenience all the necessary theorems in functional analysis are developed in the text itself, to make the book, as the author hopes, self-contained and accessible to a wide range of readers-. Many topics in the theory oflinear differential operators can also be discussed without using functional analysis, as Titchmarsh’s treatment [112a] shows. However, the author does not consider such a treatment to be appropriate, since it is only by using the ideas and methods of functional analysis that a deeper understanding of the theory, and its most general results, can be achieved.
The book is in two parts. In the first part, which may be described as an elementary theory of differential operators, the use of the methods of functional analysis is kept to a minimum. This part presents the theory of differential operators defined on a finite interval, including the case of differential opera­ tors which are not self-adjoint, the theory being developed on the assumption that the coefficients of the operators are sufficiently smooth, i.e., sufficiently differentiable. To understand Part I the reader needs only an elementary know­ ledge of the theory of ordinary differential and integral equations and of the theory of functions.
Part II develops the theory of differential operators, using Hilbert space methods. Here, in addition to the subjects already mentioned, the reader will be expected to have some knowledge of the basic results in the theory of the Lebesgue integral.

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The Theory Of Electron Atom Collisions by G. F. Drukarev

Posted on June 3, 2024 by The Mitr

In this post, we will see the book The Theory Of Electron Atom Collisions by G. F. Drukarev.

About the book

The present book is largely devoted to recent developments in the theory of electron-atom collisions. It expounds both the general theory and its applications to specific problems. Chapters 1 and 2 are devoted to central force problems. The general theory of electron-atom collisions is discussed in Chapter 3 in the simplest case, i.e. the case of the hydrogen atom. Equations describing the collision of an electron with an arbitrary atom or ion are considered in Chapter 8. The remaining chapters are concerned with concrete calculations.
“The Theory of Electron-Atom Collisions” should find a place not only with the professional quantum theorists but with those physicists who require merely to understand the effects produced by elastic and inelastic collisions, without personally manipulating the mathematics. No longer is it possible for the more classically inclined ionized gas physicist to aver that the quantum theory methods only nibble at the collision problem. Consider the achieve­ments as of 1964: the ability to predict elastic scattering and excitation functions for simple atoms, with pointers in the direction of success for many-electron atoms; the prediction of the existence of virtual and real energy levels, and the scattering effects they produce; the establishment of upper limits with confidence which is far greater than that usually applied to theoretical cross-sections; the prediction of scattering cross-sections for electrons with ions and with excited atoms, collisions which have hardly yet been attempted in experiment. Only in ionizing collisions is the theoretical position rather less satisfactory.

Translated from the Russian by S. Chomet
Translation edited by J. B. Hasted

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A New Method In The Theory Of Super– Conductivity by N. N. Bogoliubov; V. V. Tolmachev; D. V. Shirkov

Posted on June 2, 2024 by The Mitr

In this post, we will see the book A New Method In The Theory Of Super– Conductivity by N. N. Bogoliubov; V. V. Tolmachev; D. V. Shirkov.

About the book

The present work is an extension of a new method in the theory of superconductivity recently suggested by one of the authors.
We calculate the energy of the superconducting ground state using Frohlich’s Hamiltonian, as well as the one-fermion and collective elementary excited states. It is shown in this way that the final formulas recently obtained by Bardeen, Cooper, and Schrieffer for the ground state and the one-fermion excited states are correct in the first approximation. The physical picture of the phenomenon is found in some ways to resemble more closely that described by Schafroth, Butler, and Blatt.
We analyze in detail the role of the Coulomb interaction between the electrons in the theory of superconductivity.
We treat a system of fermions with a fourth-order interaction Hamiltonian and establish the criterion for its superconductivity.
The original Russian text, from the V. A. Steklov Institute of Mathematics and the Joint Institute for Nuclear Research, was published by the Academy of Sciences USSR Press in 1958.

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The Electronic Theory Of Heavily Doped Semiconductors by V. L. Bonch-Bruyevich

Posted on June 1, 2024 by The Mitr

In this post, we will see the book The Electronic Theory Of Heavily Doped Semiconductors by V. L. Bonch-Bruyevich.

About the book

The current interest in solid state theory is, in the main,
the result of confluence of two factors: recent progress in the
problem of many bodies in quantum-statistical mechanics, and
demands of practical semiconductor physics occasioned, in
turn, by the ever increasing use of solid state devices in science
and technology.
Professor Bonch-Bruyevich has rendered a real and welltimed
service in pulling together the available information on
heavily doped semiconductors, because the problems associated
with these materials are among the most pressing in modern
applied and theoretical physics. The reader will find here a
detailed review of the many-electron approach to the theory of
doped semiconductors, as well as a systematic exposition of
the many studies done in this area (much of it by the author and
his students). Some of the interesting topics covered are the
energy spectrum of heavily doped semiconductors, pulse distributions
in them, as well as screening effects and absorption
of electromagnetic waves. The necessary mathematical machinery
of the theory is explained simply and concisely.
It is hoped that the book will prove of value not only to
specialists in the field, but also to a wider group of solid-state
theoreticians and experimentalists.

Translation Editor: Robert S. Knox

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The Topology Of The Calculus Of Variations In The Large by L A. Ljusternik

Posted on May 31, 2024 by The Mitr

In this post, we will see the book The Topology Of The Calculus Of Variations In The Large by L A. Ljusternik.


About the book

In the present paper we investigate the homological properties of func­tional spaces in connection with the estimation of the number of solutions of the corresponding variational problems. These properties are closely related, on the one hand, to previous work of Moscow mathematicians on topological methods in variational problems, and on the other hand to the investigations of the Moscow topological school on the homology theory of abstract spaces. In a certain sense this paper constitutes a synthesis of both directions of the Moscow topological school.

Translated from the Russian by J. M. Danskin
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Algebra Distractivă by I. I. Perelman (Romanian)

Posted on May 30, 2024 by The Mitr

In this post, we will see the book Algebra Distractivă by I. I. Perelman (Algebra for Entertainment in Romanian).


About the book

Prima ediție a  Algebra Distractivă a apărut în anii nouăzeci și a fost destinată un viitor minunat de a aduce sute de mii de tineri în pliul matematicii și minunile sale. Este scris sub formă de schițe pline de viață care discută despre multifarious (și interesant!) aplicații ale algebrei în lumea despre noi. Aici întâlnim ecuații, logaritmi, rădăcini, progresii, analiza diofantină antică și faimoasă și multe altele. Exemplele sunt picturale, vii, adesea pline de spirit și scot în evidență esența problemei la îndemână. Există numeroase excursii în istorie și istoria algebrei. Destul de natural, o serie de lucruri sună puțin demodate-vremurile s—au schimbat!- dar eforturile câștigătorului premiului Lenin, V. G. Boltyansky, care a editat cea mai recentă ediție și a adăugat o mulțime de materiale proaspete din lumea computerelor, au dat o lustruire suplimentară acestei bijuterii a divertismentului. Nimeni care a citit această carte nu va mai privi vreodată matematica într-o lumină plictisitoare. Recenzionarii o consideră unul dintre cele mai bune exemple de scriere științifică populară.The book was translated from Russian and was illustrated by . The book was published in by Publishers.

All credits to the original uploader, this is a cleaned/optimised scan.
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Geometry for Entertainment – Yakov Perelman

Posted on May 30, 2024 by The Mitr

In this post, we will see the book Geometry for Entertainment by Yakov Perelman. This is a new English translation of the book from the original Russian published in 1950.

About the book

Geometry for Entertainment is written both for friends of mathematics and for those readers from whom many attractive aspects of mathematics have somehow been hidden.

More importantly, this book is intended for those readers who studied (or are currently studying) geometry only at the blackboard and therefore are not used to noticing familiar geometric relationships in the world of things and phenomena around us, have not learnt to use the acquired geometric knowledge in practise, in difficult cases of life, on a hike, in a bivouac or front-line situation.

To arouse the reader’s interest in geometry or, in the words of the author, “to inspire a desire and cultivate a taste for its study is the objective of this book.”

Release Notes

Yakov Perelman’s books always have had a special place in my heart. Several of his classic works are translated, though this one was not. This was a rather ambitious first project of translating an entire book, I was not sure if I could complete it in a reasonable time frame. To my own surprise the project got completed in little over a month: first commit on 25 April and last on 30 May 2024. I took help from several online translators for the translations. I did learn to read a bit of Russian in the process. 🙂

Hopefully there are no major blunders in the translation. Please do let me know if you find any errors either in the translation or the mathematics.

Though I have credited the link on the Internet Archive (IA user Philipp Zanko aka Russian Lutheran), I must thank the original scanner who made this file available (if it was not Russian Lutheran). The processing of these scans was done with GIMP (for selection and editing) and Inkscape (for vector pdf conversion). The final file size is slightly larger (~ 55 M) primarily due to the heavy illustrations. They were converted to vector pdf for the book from the original scans.

I have use LuaLaTeX engine for compilation and Linux Libertine font for the book. The typesetting in LaTeX also provided several challenges which were sorted through expert help at tex.stackexchange. I have used a square profile for the book with wide margin which allows for a nicer reading.

The book is released with an open but a restrictive license, CC By NC SA. We might go for a print version of the book (though others are still pending ikik), this step is towards that goal.

Overall, I am very satisfied with the outcome, and it gives me great pleasure to share it with you. I hope you enjoy reading it too. I am optimistic that this is first of many translations of to come. Do wish me luck!

Damitr Mazanav – “The Mitr”

PS: An electronic version of Astronomy for Entertainment updated with all the recent discoveries in astronomy is in the pipeline, hopefully we should see its release in next couple of months. Also, Irodov’s Fundamental Laws of Mechanics and Basic Laws of Electromagnetism are about ready (figures remain to be redrawn).

Update/Edit: 01 June 2024

Apparently the book has been taken down from Internet Archive with allegations that I have “copied” verbatim from another English translation of the book. Frankly, I was not even aware of the “other ” translation. One of the allegations is that since I don’t know how to read Russian hence I cannot translate. But this is exactly where online translators come in. Without them I wouldn’t have dared to touch this project.

Anyway here are the screenshots of how the book was translated from scratch page-by-page, para-by-para.  I have a complete logs from page one to last page. Not sure what else can I do to convince someone that this translation was done my me and not “copied” from somewhere else.

Also attaching the Russian alphabet chart I created to “read” Russian.

 

And you can always check the git repo for how the typesetting of the book was done. But it seems some nefarious intent is there to stop the release of the book to the public.

We have challenged the removal with these proofs Lets see how it goes!

(For now the link has been updated)

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Translated from the Russian by Damitr Mazanav from Seventh Revised edition published in 1950.

This English edition first Published online in May 2024 by The Mir Titles Project.

You can get the book here and  here.

Source files available here.

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Some screenshots

 

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