## Some Hindi Books

Post from Arvind Gupta

love and peace

arvind

JAHAN CHAH WAHAN RAAH
https://archive.org/details/JahanChahWahanRaah-Hindi-SovietChildrensBook

JAB PAPA BACHCHE THE – ALEXANDER RASKIN

BACHCHON SUNO KAHANI – LEO TOLSTOY
https://archive.org/details/BachchonSunoKahani-Hindi-LevTolstoy

UKRAINI LOK KATHAYEN
https://archive.org/details/UkrainiLokKathain-Hindi-SovietChildrensBook

THE WHITE STORK IN THE SKY
https://archive.org/details/UkrainiLokKathain-Hindi-SovietChildrensBook

KAHANIYAN DHATUYON KI – S. VENETSKY – STORIES OF METALS
https://archive.org/details/KahaniyanDhatuyonKi-Hindi-TalesOfMetals-S.Venetsky

HEERE-MOTI – SOVIET STORIES FROM ITS REGIONS
https://archive.org/details/HeereMoti-Hindi-CollationOfSovietFolkTales

BHALAI KAR, BURAI SE BACH – SOVIET FOLKTALES
https://archive.org/details/BhalaiKarBuraiSeDar-Hindi-TalesFromKazhakistan

## Problems in Differential Geometry and Topology – Mishchenko, Solovyev, Fomenko

In this post we will see the book Problems in Differential Geometry and Topology by  A. S. Mishchenko, Yu. P. Solovyev and A. T. Fomenko

This problem book is compiled by eminent Moscow university teachers.
Based on many years of teaching experience at the mechanics-and-mathematics department, it contains problems practically for all sections of the differential geometry and topology course delivered for university students: besides classical branches of the theory of curves and surfaces, the reader win be offered problems in smooth manifold theory, Riemannian geometry, vector fields and differential forms, general topology, homotopy theory and elements of variational calculus. The structure of the volume corresponds to A Course of Differential Geometry and Topology (Moscow University Press 1980)  by Prof. A. T. Fomenko and Prof. A. S. Mishchenko Some problems however, touch upon topics outside the course lectures. The corresponding sections are provided with all necessary theoretical foundations.

Alexander Sergeevich Mishchenko, D.Sc. (Phys.-Math.), is a professor at Moscow State University. His doctoral dissertation was devoted to modern aspects of algebraic K-theory. The author of more than 50 scientific papers and 4 books, Professor Mishchenko is a regular invited speaker at the International Congress of Mathematicians. He is a member of the Inspection Committee of the Moscow Mathematical Society.

Anatoly Timofeevich Fomenko, D.Sc. (Phys.-Math.), is a professor at Moscow State University. In his dissertation “Multidimensional Problem of Plateau on Riemannian Manifolds”, which was awarded a prize by the Moscow Mathematical Society, he solved the classical problem of variational calculus. He is a regular invited speaker at the International Congress of Mathematicians. Professor Fomenko has published more than 70 scientific papers and 5 books. His book Modern Geometry, coauthored with Academician S. R Novikov and B. A. Dubrovin, was published in French by Mir Publishers.

Yury Petrovich Solovyev, Cand.Sc. (Phys.-Math.), is a senior scientific worker at Moscow State University. Solovyev’s scientific interests lie in the field of algebraic K .. theory. He has published more than 40 papers, and serves as deputy editor-in-chief of the popular mathematics magazine Quantum.

The book was translated from the Russian by Oleg Efimov and was first published by Mir in 1985.

Credits to the original uploader for the scans.

The original copy was cleaned at bit, ocred, bookmarked and cover added.

PDF | OCR | Bookmarked | Cover | 6.2 MB | 209 pages

You can get the book here.

Contents

Preface 5
1. Application of Linear Algebra to Geometry 7
2. Systems of Coordinates 9
3. Riemannian Metric 14
4. Theory of Curves 16
5. Surfaces 34
6. Manifolds 53
7. Transformation Groups 60
8. Vector Fields 64
9. Tensor Analysis 70
10. Differential Forms, Integral Formulae, De Rham Cohomology 75
11. General Topology 81
12. Homotopy Theory 87
13. Covering Maps, Fibre Spaces, Riemann Surfaces 97
14. Degree of Mapping 105
15. Simplest Variational Problems 108
Bibliography 208

## The Theory of Functions of A Complex Variable – Sveshnikov, Tikhonov

In this post we will see the book The Theory of Functions of A Complex Variable by  A. G. Sveshnikov and A. N. Tikhonov.

The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc.

The book was translated from the Russian by Eugene Yankovsky and was first published by Mir in 1971 with a reprint in 1973. The current book is the second edition first published in 1978 and reprinted in 1982.

PDF | OCR | Bookmarked | 600 dpi | Cover | 17.5 MB

You can get the book here.

## Contents

Introduction 9
Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE 11

1.1. Complex Numbers and Operations on Complex Numbers 11
a. The concept of a complex number 11
b. Operations on complex numbers 11
c. The geometric interpretation of complex numbers 13
d. Extracting the root of a complex number 15

1.2. The Limit of a Sequence of Complex Numbers 17
a. The definition of a convergent sequence 17
b. Cauchy’s test 19
c. Point at infinity 19

1.3. The Concept of a Function of a Complex Variable. Continuity 20
a. Basic definitions 20
b. Continuity 23
c. Examples 26

1.4. Differentiating the Function of a Complex Variable 30
a. Definition. Cauchy-Riemann conditions 30
b. Properties of analytic functions 33
c. The geometric meaning of the derivative of a function of a complex variable 35
d. Examples 37

1.5. An Integral with Respect to a Complex Variable 38
a. Basic properties 38
b. Cauchy’s Theorem 41
c. Indefinite Integral 44

1.6. Cauchy’s Integral 47
a. Deriving Cauchy’s formula 47
b. Corollaries to Cauchy’s formula 50
c. The maximum-modulus principle of an analytic function 51

1.7. Integrals Dependent on a Parameter 53
a. Analytic dependence on a parameter 53
b. An analytic function and the existence of derivatives of all orders 55
Chapter 2. SERIES OF ANALYTIC FUNCTIONS 58

2.1. Uniformly Convergent Series of Functions of a Complex Variable 58
a. Number series 58
b. Functional series. Uniform convergence 59
c. Properties of uniformly convergent series. Weierstrass’ theorems 62
d. Improper integrals dependent on a parameter 66

2.2. Power Series. Taylor’s Series 67
a. Abel’s theorem 67
b. Taylor’s series 72
c. Examples 74

2.3. Uniqueness of Definition of an Analytic Function 76
a. Zeros of an analytic function 76
b. Uniqueness theorem 77

Chapter 3. ANALYTIC CONTINUATION. ELEMENTARY FUNCTIONS OF A COMPLEX VARIABLE 80

3.1. Elementary Functions of a Complex Variable. Continuation
from the Real Axis 80
a. Continuation from the real axis 80
b. Continuation of relations 84
c. Properties of elementary functions 87
d. Mappings of elementary functions 91

3.2. Analytic Continuation. The Riemann Surface 95
a. Basic principles. The concept of a Riemann surface 95
b. Analytic continuation across a boundary 98
c. Examples in constructing analytic continuations. Continuation across a boundary 100
d. Examples in constructing analytic continuations. Continuation by means of power series 105
e. Regular and singular points of an analytic function 108
f. The concept of a complete analytic function 111

Chapter 4. THE LAURENT SERIES AND ISOLATED SINGULAR POINTS 113

4.1. The Laurent Series 113
a. The domain of convergence of a Laurent series 113
b. Expansion of an analytic function in a Laurent series 115

4.2. A Classification of the Isolated Singular Points of a Single-Valued Analytic Function 118

Chapter 5. RESIDUES AND THEIR APPLICATIONS 125

5.1. The Residue of an Analytic Function at an Isolated Singularity 125
a. Definition of a residue. Formulas for evaluating residues 125
b. The residue theorem 127

5.2. Evaluation of Definite Integrals by !\leans of Residues 130
a. Integrals of the form $\int^{2 \pi}_{0}R (\cos \theta \sin \theta ) d \theta$ 131
b. Integrals of the form $\int^{\infty}_{\infty} f(x)dx$ 132
c. Integrals of the form $\int^{\infty}_{\infty} \exp(iax)f(x)dx$. Jordan’s lemma  135
d. The case of multiple-valued functions 141

5.3. Logarithmic Residue 147
a. The concept of a logarithmic residue 147
b. Counting the number of zeros of an analytic function 149

Chapter 6. CONFORMAL MAPPING 153

6.1. General Properties 153
a. Definition of a conformal mapping 153
b. Elementary examples 157
c. Basic principles 160
d. Riemann’s theorem 166

6.2. Linear-Fractional Function 169

6.3. Zhukovsky’s Function 179

6.4. Schwartz-Christoffel Integral. Transformation of Polygons 181

Chapter 7. ANALYTIC FUNCTIONS IN THE SOLUTION OF BOUNDARY-VALUE PROBLEMS 191

7. 1. Generalities 191
a. The relationship of analytic and harmonic functions 191
b. Preservation of the Laplace operator in a conformal mapping 192
c. Dirichlet’s problem 194
d. Constructing a source function 197

7.2. Applications to Problems in Mechanics and Physics 199
a. Two-dimensional steady-state flow of a fluid 199
b. A two-dimensional electrostatic field 211

Chapter 8. FUNDAMENTALS OF OPERATIONAL CALCULUS 221

8.1. Basic Properties of the Laplace Transformation 221
a. Definition 221
b. Transforms of elementary functions 225
c. Properties of a transform 227
d. Table of properties of transforms 236
e. Table of transforms 236

8.2. Determining the Original Function from the Transform 238
a. Mellin’s formula 238
h. Existence conditions of the original function 241
c. Computing the Mellin integral 245
d. The case of a function regular at infinity 249

8.3. Solving Problems for Linear Differential Equations by the Operational Method 252
a. Ordinary differential equations 252
b. Heat-conduction equation 257
c. The boundary-value problem for a partial differential equation 259

I.1. Introductory Remarks 261

I.2. Laplace’s Method 264
Appendix II. THE WIENER-HOPF METHOD 280

II.1. Introductory Remarks 280
11.2. Analytic Properties of the Fourier Transformation 284
11.3. Integral Equations with a Difference Kernel 287
II.4. General Scheme of the Wiener-Hopf Method 292
II.5. Problems Which Reduce to Integral Equations with a Difference
Kernel 297
a. Derivation of Milne’s equation 297
b. Investigating the solution of Milne’s equation 301
c. Diffraction on a flat screen 305
II.6. Solving Boundary-Value Problems for Partial Differential Equations by the Wiener-Hopf Method 306

Appendix III. FUNCTIONS OF MANY COMPLEX VARIABLES 310

III.1. Basic Definitions 310
III.2. The Concept of an Analytic Function of Many Complex Variables 311
III.3. Cauchy’s Formula 312
III.4. Power Series 314
III.5. Taylor’s Series 316
III.6. Analytic Continuation 317

Appendix IV. WATSON’S METHOD 320
References 328
Name Index 329
Subject Index 330

## Lectures on the Theory of Functions of a Complex Variable – Sidorov, Fedoryuk, Shabunin

In this post we will see the book Lectures on the Theory of Functions of a Complex Variable by Yu. V. Sidorov, M. V. Fedoryuk, M. I. Shabunin.

This book is based on more than ten years experience in teaching the theory of functions of a complex variable at the Moscow Physics and Technology Institute. It is a textbook for students of universities and institutes of technology with an advanced mathematical program.
We believe that it can also be used for independent study.
We have stressed the methods of the theory that are often used in applied sciences. These methods include series expansions, conformal mapping, application of the theory of residues to evaluating definite integrals, and asymptotic methods. The material is structured in a way that will give the reader the maximum assistance in mastering the basics of the theory. To this end we have provided a wide range of worked-out examples. We hope that these will help the reader
acquire a deeper understanding of the theory and experience in
problem solving.

The book was translated from Russian by Eugene Yankovsky and was first published by Mir in 1985.

PDF | OCR | 600 dpi | 25 MB | Bookmarked

You can get the book here.

## Contents

Preface 5
Chapter I Introduction 9

1 Complex Numbers 9
2 Sequences and Series of Complex Numbers 20
3 Curves and Domains in the Complex Plane 25
4 Continuous Functions of a Complex Variable 36
5 Integrating Functions of a Complex Variable 45
6 The Function arg z 51
Chapter II Regular Functions 59

7 Differentiable Functions. The Cauchy-Riemann Equations 59
8 The Geometric Interpretation of the Derivative 66
9 Cauchy’s Integral Theorem 76 .–
10 Cauchy’s Integral Formula 84
11 Power Series 87
12 Properties of Regular Functions 90
13 The Inverse Function 102
14 The Uniqueness Theorem 108
15 Analytic Continuation 110
16 Integrals Depending on a Parameter 112
Chapter III The Laurent Series. Isolated Singular Points of a Single-Valued Functions 123
17 The Laurent Series 123
18 Isolated Singular Points of Single- Valued Functions 128
19 Liouville’s Theorem 138
Chapter IV Multiple-Valued Analytic Functions 141

20 The Concept of an Analytic Function 141
21 The Function In z 147
22 The Power Function. Branch Points of Analytic Functions 155
23 The Primitive of an Analytic Function. Inverse Trigonometric
Functions 166
24 Regular Branches of Analytic Functions 170
25 Singular Boundary Points 189
26 Singular Points of Analytic Functions. The Concept of a Riemann
Surface 194
27 Analytic Theory of Linear Second-Order Ordinary Differential
Equations 204

Chapter V Residues and Their Applications 220
28 Residue Theorems 220
29 Use of Residues for Evaluating Definite Integrals 230
30 The Argument Principle and Rouche’s Theorem 255
31 The Partial-Fraction Expansion of Meromorphic Functions 260
Chapter VI Conformal Mapping 270

32 Local Properties of Mappings Performed by Regular Functions 270
33 General Properties of Conformal Mappings 276
34 The Linear-Fractional Function 282
35 Conformal Mapping Performed by Elementary Functions 291
36 The Riemann-Schwarz Symmetry Principle 315
37 The Schwarz-Cristoffel Transformation Formula 326
38 The Dirichlet Problem 339
39 Vector Fields in a Plane 354
40 Some Physical Problems from Vector Field Theory 363
Chapter VII Simple Asymptotic Methods 371

41 Some Asymptotic Estimates 371
42 Asymptotic Expansions 389
43 Laplace’s Method 396
44 The Method of Stationary Phase 409
46 Laplace’s Method of Contour Integration 434

Chapter VIII Operational Calculus 446

47 Basic Properties of the Laplace Transformation 446
48 Reconstructing Object Function from Result Function 454
49 Solving Linear Differential Equations via the Laplace Transformation
468
50 String Vibrations from Instantaneous Shock 476
Selected Bibliography 486
Name Index 488
Subject Index 489

## Going To Kindergarten by Nadezhda Kalinina

In this post we will see a pretty illustrated book for children titled Going To Kindergarten by Nadezhda Kalinina.

The book was translated from Russian to English by Fainna Solasko, and drawings were made by Veniamin Losin. The book was published by Progress Publishers first in 1974, and second reprint was in 1982.

You can get the book here.

Many thanks to Guptaji for the book

Posted in books, progress publishers | | 4 Comments

## Cells, Cells And More Cells – P. Katin

In this post we will see a wonderfully illustrated book Cells, Cells And More Cells by P. Katin.

If you want to know what a cell is and where it came from, read further.

The book was published by Raduga in 1990 and was translated from the Russian by Tracy Kuehn. The wonderful illustrations are by Victor Korolkov.

Many thanks to Guptaji for this wonderful book.

PDF | OCR | 35 pp | Cropped

You can get the book here.

HOW DID YOU BEGIN? 4

CELLS 6

HOW BIG ARE CELLS? 8

WHAT COLOR ARE CELLS? 10

WHAT SHAPES ARE CELLS?  12

WHAT ARE CELLS MADE OF? 14

WHY DO WE NEED CHROMOSOMES? 22

CHILDREN FROM CELLS 26

A BOY OR A GIRL? 30

NOW WHAT DO YOU KNOW?32

| | 1 Comment

## Some new books

Comment from Node

Hello,

I have uploaded the following to LibGen.

600 dpi | OCR | Cleaned &amp; Processed [Perfect]
The files are now fully processed &amp; cleaned.

Kiselev’s Geometry / Book I. Planimetry Vol IBy A. P. Kiselev, Alexander Givental
http://gen.lib.rus.ec/book/index.php?md5=1f9f931274c93623a7391f1a75158295

Kiselev’s Geometry / Book II. Stereometry  Vol IIBy A. P. Kiselev, Alexander Givental
http://gen.lib.rus.ec/book/index.php?md5=09ed3a3d2576f80753b3800998d5d00e

Selected Problems and Theorems in Elementary Mathematics By D.O. Shklyarsky, N. N. Chentsov, I. M. Yaglom | MIR 1979
http://gen.lib.rus.ec/book/index.php?md5=494b709112fb7acef897d1cc9b6db6c8
Regards,

Thanks for all the good work!

Posted in books, mathematics, mir books, problem books | | 6 Comments