Kutepov, Rubanov – Problems in Geometry

Posted on May 24, 2012 by damitr

We now come to a problem book in Geometry by A. Kupteov and A. Rubanov titled Problems in Geometry. Earlier we had seen two problem books in Plane Geometry and Solid Geometry in the Science for Everyone Series.

From the Preface:

The book contains a collection of 1351 problems (with answers) in plane and solid geometry for technical schools and colleges. The problems are of varied content, involving calculations, proof, construction of diagrams, and determination of the spatial location of geometrical points. It gives sufficient problems to meet the needs of students for practical work in geometry, and the requirements of the teacher for varied material for tests, etc.

The book was translated from the Russian by Oleg Meshkov and was edited by Leonid Levant. Mir Publishers published this book first in 1975

You can get the book here. and here

All credits to the original uploader.

Contents

CHAPTER I. REVIEW PROBLEMS

1. The Ratio and Proportionality of Line Segments,
Similarity of Triangles 7
2. Metric Relationships in a Right-Angled Triangle 10
3. Regular Polygons, the Length of the Circumference
and the Arc 15
4. Areas of Plane Figures 17

CHAPTER II. SOLVING TRIANGLES

5. Solving Right-Angled Triangles 22
6. Solving Oblique Triangles 29
Law of Cosines 29
Law of Sines 31
Areas of Triangles, Parallelograms and
Quadrilaterals 32
Basic Cases of Solving Oblique Triangles 34
Particular Cases of Solving Oblique Triangles 34
Heron’s Formula 35
Radii r and R of Inscribed and Circumscribed Circles and the Area S of a Triangle 36
Miscellaneous Problems 37

CHAPTER III. STRAIGHT LINES AND PLANES IN SPACE

7. Basic Concepts and Axioms. Two Straight Lines in Space 43
8. Straight Lines Perpendicular and Inclined to a Plane 46
9. Angles Formed by a Straight Line and a Plane  52
10. Parallelism of a Straight Line and a Plane 55
11. Parallel Planes  59
12. Dihedral Angles. Perpendicular Planes 63
13. Areas of Projections of Plane Figures 67
14 Polyhedral Angles 69

CHAPTER IV. POLYHEDRONS AND ROUND SOLIDS

15. Prisms and Parallelepipeds 71
16. The Pyramid 77
17. The Truncated Pyramid 81
18. Regular Polyhedrons 84
19. The Right Circular Cylinder 86
20. The Right Circular Cone 89
21. The Truncated Cone 93

CHAPTER V. AREAS OF POLYHEDRONS AND ROUND SOLIDS

22. Areas of Parallelepipeds and Prisms 97
23. Areas of Pyramids 102
24. Areas of Truncated Pyramids 105
25. Areas of Cylinders 108
26. Areas of Cones Ill
27. Areas of Truncated Cones 115

CHAPTER VI. VOLUMES OF POLYHEDRONS AND ROUND SOLIDS

28. Volumes of Parallelepipeds 118
29. Volumes of Prisms 122
30. Volumes of Pyramids 127
31. Volumes of Truncated Pyramids 133
32. Volumes of Cylinders 137
33. Volumes of Cones 141
34. Volumes of Truncated Cones 145

CHAPTER VII. THE SPHERE

35. Spheres 149
36. Areas of Spheres and Their Parts 152
37. Volumes of Spheres and Their Parts 155
38. Inscribed and Circumscribed Spheres 159

CHAPTER VIII. APPLYING TRIGONOMETRY TO SOLVING GEOMETRIC PROBLEMS

39. Polyhedrons 164
40. Round Solids 168
41. Areas and Volumes of Prisms 172
42. Areas and Volumes of Pyramids ……… 176
43. Areas and Volumes of Round Solids . 181
Answers 187

Posted in books, mathematics, mir books, mir publishers | Tagged , , , , , , | 18 Comments

Y. Ryabov – Celestial Mechanics

Posted on May 23, 2012 by damitr 
How do the heavenly bodies move, and how are these 
movements related to one another? What forces of nature 
govern such motions?

We now come to another jewel of a book titled Celestial Mechanics by Y. Ryabov. This book discusses many concepts of celestial motion including planetary and lunar motion, perturbations, satellites, two body-problem etc.

From the Preface:

The aim of this book is to tell the reader how the law of universal gravitation was discovered and how, on the basis of this law, the motions of celestial bodies are studied. We will learn that the movements of the most distant stars and the falling of bodies to the ground and the flight of man-made satellites of the earth, and of cosmic rockets too, are all subject to the same law of gravitation.

Towards the end we shall deal in brief with the nature of gravitation.

The book was translated from the Russian by G. Yankovsky. This edition was published by the Foreign Languages Publishing House in 1959.

You can get the book from the Internet Archive.  

and here

Recently (2006) Dover Publishers have brought out a reprint of the book ISBN 0486450147 and costs around Rs. 650.

CONTENTS

Introduction 5
1. Ancient Conceptions Concerning the Motions of the Sun, Moon, Planets and Stars 6
2. The Geometry of Planetary Motions from Copernicus to Kepler 13
3. The Discovery of the Law of Gravitation 30
4. The Attraction of Material Bodies of Different Shapes 41
5. Experimental Detection of Attraction between Material Bodies on Earth 46
6. Newton’s Law— the Theoretical Basis of Celestial Motion 49
7. Celestial Motion and the Two-Body Problem 57
8. The Concept of Perturbed Motion. Celestial Mechanics and Practical Astronomy 63
9. Ways of Describing Perturbed Motion. The Variational Orbit 67
10. The Problem of Motion in the Solar System 69
11. Successive Approximations in the Theory of Motion of Heavenly Bodies 74
12. The Discovery of Neptune 84
13. Periodic and Secular Perturbations 85
14. Numerical Methods in Celestial Mechanics 93
15. Satellite Theory 96
16. Artificial Earth Satellites and Their Motion 99
17. The Motions of Asteroids 110
18. Planetary Rotation. 114
19. Problems of Qualitative Celestial Mechanics 126
20. Stellar Motions and the Law of Gravitation 135
21. What is Gravitation? 141
Appendix 149

Posted in astronomy, books, foreign languages publishing, physics, science | Tagged , , , , , , , , , , , | 4 Comments

Yakov Perelman – Figures For Fun

Posted on May 23, 2012 by damitr

We now come to another book by Yakov Perelman called Figures for Fun. Again this work went through a lot of editions and was translated into many Indian languages.

From the Preface

To read and enjoy this book it will suffice to possess a modest
knowledge of mathematics, i.e., knowledge of arithmetical rules
and elementary geometry. Very few problems require the ability of
forming and solving equations and the simplest at that.
The table of contents, as you may see, is quite diversified: the
subjects range from a motley collection of conundrums and mathematical stunts to useful practical prob]enls on counting and measuring.
The author has done everything to make his book as fresh as possible,
avoiding repetition of all that has already appeared in his other
works (Tricks and Amusements, Interesting Problems, etc.). The
reader will find a hundred or so brain-teasers that have not been
included in earlier books. Chapter VI – “Number Giants” – is
adapted from one of the author’s earlier pamphlets, with four new
stories added.

This edition was published by Foreign Languages Publishing House, published perhaps in the 1950s. The book was translated from the Russian by G. Ivanov-Mumjiev and was designed by D. Bistt.

You can get the book here and here.

All credits to the original uploader.

 

Posted in books, foreign languages publishing, mathematics | Tagged , | 19 Comments

Yakov Perelman – Algebra Can Be Fun

Posted on May 23, 2012 by damitr

We now come to Algebra can be fun by Yakov Perelman. This book has been translated into many Indian Languages. As with other Perelman books this book also has many editions.

From the Preface

This is not an easy-reading text on algebra for beginners.
Neither is it a manual. It is a book for free reading. It is
designed for a reader with some knowledge of algebra, even
though half mastered and perhaps half forgotten. The
present text hopes to help the reader recall such haphazard
knowledge and polish it up, the aim being to fix certain
facts in his mind. It is meant to develop in the reader a
taste for algebra and problem-solving, and also excite him
to dip into algebra textbooks and fill in the blanks in his
knowledge.

To make the subject more attractive I have made use of
a variety of tools: problems with intriguing plots to excite
the reader’s curiosity, amusing excursions into the history
of mathematics, unexpected uses that algebra is put to in
everyday affairs, and more.

This particular edition was edited and supplemented by V. G. Boltyansky and rranslated
from the thirteenth Russian edition by George Yankovsky ans was published by Mir in 1979.

You can get the book here and here.

Hindi version here and here

Marathi version here and here

Update: Added Internet Archive Link 07 December 2015

 

Continue reading →

Posted in books, mathematics, mir books, mir publishers | Tagged , | 16 Comments

Yakov Perelman – Astronomy for Entertainment

Posted on May 23, 2012 by damitr

Continuing with Yakov Perelman, we now come to Astronomy for Entertainment. This is a book that I have read as a digital copy only. I do not know if there are any translations in Indian languages, but I know of translation in Spanish. The book discusses many interesting things which will set the imagination running for all the people who will read it.

From  the Preface:

The purpose of the book is to initiate the reader into the basic facts of astronomy. But do not take it as a primer, since our presentation differs essentially from any text-book. Ordinary facts with which you may be acquainted are couched here in unexpected paradoxes, or slanted from an odd and unexpected angle, solely with a view to excite imagination and quicken interest. We have tried to free the theme as far as possible from the professional “terminology” and technical paraphernalia that so often make the reader shy of books on astronomy.

…

The book contains chapters relating to the Earth, the Moon, planets,
stars and gravitation. The author has concentrated in the main on
materials not usually discussed in works of this nature. Subjects
omitted in the present book, will, he hopes, be treated in a second volume. The book, it should be said, makes no attempt to analyze in detail the rich content of modern astronomy.

The book was translated from the Russian by A. Shkarovsky and edited by J. Gibbons and was published by Foreign Languages Publishing House in 1958. I do not know of any other editions.

You can get the book here. (All credits to original uploaders.)

A completely new and clean  scan done by us can be obtained here and here.

 

Update: Added Internet Archive Link | 07 December 2015

 

Continue reading →

Posted in astronomy, books, foreign languages publishing, mathematics, physics, science, soviet | Tagged , | 6 Comments

Yakov Perelman – Physics for Entertainment

Posted on May 23, 2012 by damitr

We now come to Physics for Entertainment by Yakov Perelman. This was one of the first physics books that I have read. The book as was noted in the earlier post has been translated in various Indian languages. These are some of the covers I could find. If you have/know of anymore please suggest them.

 

 

The books that are available are the ones in English, (volunteers needed for Indian languages). The date of publication being not printed on both of them, but my guess would be (looking at design of the books) 1950s or 1960s. Both were translated from the Russian by A. Shkarovsky and were designed by L. Lamm and were published by Foreign Languages Publishing House. The later editions and the ones in Indian languages were published by Mir.

You can get Volume 1 here  and here, Volume 2 here  and here or as a single volume.

Marathi volume 1

Kannada volume 1 and volume 2

Hindi volume 1 and volume 2

Bangla volume 1 and volume 2

All credits to the original uploaders.

Update: Added Internet Archive Link | 07 December 2015

For magnet / torrent links go here.

Posted in books, foreign languages publishing, physics, science, soviet | Tagged , | 14 Comments

Yakov Perelman – Fun with Maths and Physics

Posted on May 23, 2012 by damitr

We have talked about Yakov Perelman in detail in an earlier post. We now see one of the wonderful works of him titled Fun with Maths and Physics.

This particular edition was compiled by I. I. Prusakov and was translated from the Russian by Alexander Repyev. Mir Publishers first published this book in 1984 and second printing was done in 1988. The artists involved with this project were:

Cover: I. Kravtsov, V. Stulikov
Artistic Book Design: I. Kabakov, V. Keidan, I. Kravtsov, D. Lion, S. Mukhin, Yu. Perevezentsev, L. Saksonov, A. Sokolov, V. Stulikov, R. Varshamov, Yu. Vashchenko

You can get the book here

here and here

Update: Added Internet Archive Link | 07 December 2015

All credits to the original uploader for the 1984 print and thanks to gnv64 for the 1988 print.

Posted in books, mathematics, mir books, mir publishers, physics, science | Tagged , | 9 Comments

Universal Physical Constants

Posted on May 23, 2012 by damitr

In this post we will see a wonderful little book titled Universal Physical Constants by O. P. Spiridonov.This is a book that deals with history of science in a wonderful way. There are six stories to be told about the constants themselves and the way we found their values. The  constants are:

  1. Gravitational Constant
  2. Boltzmann Constant and Avagadro’s Number
  3. Mass and Charge of electron
  4. Speed of Light
  5. Planck’s constant
  6. Masses of neutron, proton and other elementary particles

From the back cover:

The stern academical title of the book is somewhat misguiding tor this is, in fact, a fresh and exciting account of physics, tracing its experimental and conceptual development from the ancient Greeks up to the present day. In thorough studies and heated scientific controversies, it was through the endeavours of many remarkable men that the profound physical significance of the universal physical constants was revealed, sometimes with a complete revision of old views and formation of new physical disciplines. O. P. Spiridonov’s Universal Physical Constants appears to be the first book, both in the USSR and abroad, to be specifically concerned with a systematic discussion of the constants. A “case history” is given for each of them. In telling the story, the author places strong emphasis on logical continuity and the lucidity of his style is never achieved at the expense of scientific strictness.

The book was translated from Russian by Yevgeni Strelchenko and was first published by Mir in 1986.

You can get the book here. and here

Update: Posted link to Internet Archive 03 December 2015

Update: Posted a cleaned new copy on IA August 30, 2020

Continue reading →

Posted in astronomy, books, chemistry, history, mir books, mir publishers, physics, science, soviet | Tagged | 21 Comments

Misha!

Posted on April 30, 2012 by damitr

Many of us have pleasant and unforgettable memories of reading Misha – The Chidlren’s Illustrated Monthly. And suddenly all of them seem to have disappeared. They are no where to be found.

I have found two issues of Misha while browsing the internet. They are:

Update 16 August 2020 added more links

1983, 3rd Issue

1985 9th Issue

and here

1986 10th Issue

and here

1987, 9th Issue

1988, 2nd Issue

and here

1988, 3rd Issue

and here

1988, 4th Issue

and here

1988, 5th Issue

and here

1988, 6th Issue

and here

1988, 7th Issue

and here

1988, 8th Issue

and here

1988, 9th Issue

and here

1988, 11th Issue

and here

All credits and a ton of thanks to the original uploader!

Hope that we have the complete issues of Misha some time soon!

Password: mirtitles

Posted in books, soviet | Tagged , , , , , , | 28 Comments

Updates…

Posted on April 18, 2012 by damitr

Have reloaded a better version of Questions and Answers in School Physics by Lev Tarasov and Aldina Tarasova. This is a better cleaned, OCRed, bookmarked (~ 14 MB).

Password, if needed: mirtitles

Posted in books | Tagged | 11 Comments