Problems In Mathematics With Hints And Solutions by V. Govorov; P. Dybov; N. Miroshin; S. Smirnova

The book contains more than three thousand mathematics problems and covers each topic taught at school. The problems were contributed by 120 of the higher schools of the USSR and all the universities.

The book is divided into, four parts: algebra and trigonometry, fundamentals of analysis, geometry and vector algebra, and the problems and questions set during oral examinations. The authors considered it necessary to include some material relating to complex numbers, combinatorics, the binomial theorem, elementary trigonometric inequalities, and set theory and the method of coordinates. The authors believe that this material will help the readers systematize their knowledge in the principal divisions of mathematics.

In writing the book, the authors have used their experience of examining students in mathematics at higher schools and the preparation of television courses designed to help students revise their knowledge for the entrance examinations to higher educational establishments.

To make it easier for readers to grasp the material, some of the sections have been supplemented with explanatory text. The problems are all answered and some have additional hints or complete solutions.

The more difficult problems are marked with asterisks. Part 4 is entitled “Oral Examination Problems and Questions” and includes samples suggested by the higher schools.

The authors hope that this book will help those who want to enter the various types of higher school, aid the teachers, and be of use to all those who want to deepen and systematize their knowledge of mathematics.

EDITED BY PROF. A.I. PRILEPKO, D.Sc.

Translated from the Russian by Irene Aleksanova

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

Contents

Preface 5
Part 1 Algebra Trigonometry and Elementary Functions 9
1.1 Problems on Integers Criteria for Divisibility 9
1.2 Real Numbers Transformation of Algebraic Expressions 13
1.3 Mathematical Induction Elements of Combinatorics Binomial Theorem
1.4 Equations and Inequalities of the First and the Second Degree
1.5 Equations of Higher Degrees Rational Inequalities
1.6 Irrational Equations and Inequalities
1.7 Systems of Equations and Inequalities
1.8 The Domain of Definition and the Range of a Function
1.9 Exponential and Logarithmic Equations and Inequalities
1.10 Transformations of Trigonometric Expressions Inverse Trigonometric Functions
1.11 Solution of Trigonometric Equations Inequalities and Systems of Equations
1.12 Progressions
1.13 Solution of Problems on Derivation of Equations
1.14 Complex Numbers
Part 2 Fundamentals of Mathematical Analysis
2.1 Sequences and Their Limits An Infinitely Decreasing Geometric Progression Limits of Functions
2.2 The Derivative Investigating the Behaviour of Functions with the Aid of the Derivative
2.3 Graphs of Functions
2.4 The Antiderivative The Integral The Area of a Curvilinear Trapezoid
Part 3 Geometry and Vector Algebra
3.1 Vector Algebra
3.2 Plane Geometry Problems on Proof
3.3 Plane Geometry Construction Problems
3.4 Plane Geometry Calculation Problems
3.5 Solid Geometry Problems on Proof
3.6 Solid Geometry Calculation Problems
Part 4 Oral Examination Problems and Questions 241
4.1 Sample Examination Papers 241
4.2 Problems Set at an Oral Examination 244
Hints and Answers 265
Appendix 386

Posted in books | Tagged , , , , , , | Leave a comment

यात्रा की तैयारी (Preparation For A Trip In Hindi ) by निकोलाई नोसोव (Nikolai Nosov)

नजानू के यात्रा की तैयारी

अनुवादक अचला जैन
चित्रकार बोरीस कलऊशिन

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

Posted in books | Tagged , , , , , , , , | Leave a comment

The Rout (Library of Selected Soviet Literature) by Alexander Fadeyev ( Fadeev)

The Rout by Aleksandr Fadeev is a novel set during the Russian Civil War, focusing on a partisan detachment fighting against the White Army in the Far East. The story follows the experiences of a young partisan named Levinson and his comrades as they navigate the challenges of guerrilla warfare. The novel delves into themes of loyalty, sacrifice, and the harsh realities of war, portraying the psychological and physical toll on those involved. Fadeev emphasizes the struggle for survival and the ideological commitment of the characters, reflecting the broader conflict in Russia during that time.

Translated from the Russian by O. Gorchakov
Designed by O. Vereisky

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

CONTENTS

Page
I. Morozka 7
II. Metchik 15
III. The Sixth Sense 24
IV. Alone 31
V. The Peasants and the “Coal-Eaters” 37
VI. Levinson 49
VII. Enemies 59
VIII. The First Move 69
IX. Metchik in the Company 82
X. The Beginning of the Rout 94
XI. The Daily Grind 107
XII. The March 120
XIII. Their Burdens 135
XIV. Metelitsa goes on Reconnaissance 150
XV. Three Deaths 164
XVI. The Bog 182
XVII. The Nineteen 197

Posted in books | Tagged , , , , , | Leave a comment

Diffusion In Metals And Alloys by V. Z. Bugakov

This monograph on “Diffusion in Metals and Alloys” provides a brief review of studies on the most important and general problems of metal diffusion conducted by V. Z. Bugakov and his collaborators. While it includes works by both Soviet and non-Soviet authors, the book is primarily based on Bugakov’s dissertation for his doctorate. It is divided into two parts: Part I, Atomic Diffusion of Metals, and Part II, Reactive Diffusion of Metals. The first and second chapters of Part II were written by V. Z. Bugakov and D. Ya. Gluskin. This book holds significant theoretical and practical value for physicists, metallurgists, and advanced students. Tragically, the life of V. Z. Bugakov, a young and gifted scientist, was cut short by the Nazi invasion and the siege of Leningrad.

PROBLEMS OF MODERN PHYSICS
Edited by S. I. Vavilov, A.F. Joffe, P.I. Lukirskii, V.A. Fock an d J.I. Frenkel

(Diffuziya v metallakh i splavakh)
Gosudarstvennoe Izdatel’stvo
Tekhniko-Teoreticheskoi Literatury
Leningrad — Moskva
1949

Translated by Ch. Nisenbaum, Chem. Eng.
Edited by D. Slutzkin

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

Table of Contents

Foreword v
Introduction vii

Part One
Atomic Diffusion of Metals
Chapter I: Mobility of Atoms in the Crystal Lattice of Metals 1
§ 1. Atomic diffusion 1
§ 2. Self-diffusion of metals 1
§ 3. Principal factors in the development of the statistical theory of diffusion 4

Chapter II: Analysis of the Temperature Dependence of the Coefficients of Self-Diffusion and Impurity Diffusion 13
§ 1. Self-diffusion of metals 13
§ 2. Diffusion of impurity atoms in crystal lattices 20

Chapter III: Diffusion and Structure of Metals 35
§ 1. Dependence of the rate of diffusion on the crystallographic directions (anisotropy of diffusion) 36
§ 2. Diffusion and defects in the crystal structures of metals 43
§ 3. Influence of the grain size on the diffusion coefficient 44

Chapter IV: Dependence of the Diffusion Coefficient on the Concentration of Impurities 51

Conclusion 60

Part Two
Reactive Diffusion of Metals
Chapter I: Nature of Phases Formed as a Result of Reactive Diffusion 65
§ 1. Determination of possible diffusion beyond the solubility limits 65
§ 2. The nature of the phases formed as the result of reactive diffusion 70
§ 3. Conclusions 80

Chapter II: Laws Governing the Growth of Diffusion Layers During Reactive Diffusion 83

Chapter III: Reaction of Iron with Liquid Zinc (Theory of Zinc Coating of Iron) 91
Theoretical and practical importance of the reaction between iron and liquid zinc 91
A. Review of literature data 93
§ 1. Phase diagrams of Fe—Zn alloys, and the structure of different phases in these systems 93
§ 2. Published data on the structure of zinc coatings and the reaction of iron with liquid zinc 96
B. Experimental studies on the reactions of iron with liquid zinc 98
§ 3. Relationship between the structure of the basis material and the structure of the diffusion layer 98
§ 4. Kinetics of the formation and growth of diffusion layers during the reaction of iron with liquid zinc 100
§ 5. Influence of aluminum in zinc baths on the structure and strength of zinc coatings 113

Conclusion 117

Bibliography 120
Appendix 123
List of Abbreviations 125

Posted in books | Leave a comment

Dynamic Meteorology by V. A. Belinski

The book should serve as a textbook of dynamic meteorology, suitable for students of hydro-meteorological institutes. For the reading of the book, a physico-mathematical training on the level of higher technical educational institutions is required, as well as a knowledge of thermodynamics, hydrodynamics, and meteorology. Separate chapters are devoted to the exposition of the works of Soviet scientists in the field of dynamic meteorology, and therefore the book may also be used by post-graduate students and scientific personnel. For the reading of the chapters indicated, a more extensive mathematical training is required.

Approved by the Ministry of Higher Education of the USSR as a University textbook

State Publishing House of Technical-Theoretical Literature

Moscow 1948 Leningrad

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

 

Title of Russian Original:
V.A. Belinskii
Dinamicheskaya Meteorologiya
OG IZ , Moskva— Leningrad, 1948

Translated by: Dr. M. Artman, Dr. Y.S. Halpern, Dr. S. Caspari-Zilberszac;

Edited by I. Meroz

Posted in books | 2 Comments

বিশকা (Biska In Bengali ) by কে. উশিনস্কি (K. Ushinsky)

অনুবাদ: রেখা চট্টোপাধ্যায় ছবি এঁকেছেন

শিশু ও কিশোর সাহিত্য,

ছোট শিশুদের জন্য

 

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social
Fork us at: https://gitlab.com/mirtitles

 

 

 

Posted in books | Tagged , , , | Leave a comment

Looking for the last of Science For Everyone – Earth, Sweet Earth by Ekaterina Radkevich

For many years we are looking for this book in the Science for Everyone series. If anyone has access to this book please do let us know, this will complete the series!

 

 

Posted in books | Tagged , | 1 Comment

अपरिचितों के बीच (In A Strange Place In Hindi ) by निकोलाई नोसोव (Nikolai Nosov)

नजानू का रोमांच

अनुवादक संगमलाल मालविय

चित्रकार बोरीस कलऊशिन

 

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social

 

 

Posted in books | Tagged , , , , , , , | Leave a comment

The Fox And The Hare A Russian Folktale

A Russian folk tale for children. Fabulously illustrated.

Retold in English by Irina Zheleznova
Drawings bv Evgeni Rachev

 

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social

 

 

Posted in books | Tagged , , , , , | Leave a comment

मेज पर गपशप( Dunno Tells Of His Adventures In Hindi ) by निकोलाई नोसोव (Nikolai Nosov)

नजानू का रोमांच

अनुवादक संगमलाल मालविय
चित्रकार बोरीस कलऊशिन

 

You can get the book here and here.

Twitter: @MirTitles
Mastodon: @mirtitles@mastodon.world
Mastodon: @mirtitles@mastodon.social
Bluesky: mirtitles.bsky.social

 

 

Posted in books | Tagged , , , , , , , | Leave a comment