763
763

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A mathematics textbook for technical schools

Topics: high school, mathematics, soviet, peace publishers, algebra, functions, graphs, geometry,...

241,670
242K

1988
1988

by
I. E. Irodov.

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The book is intended for college undergraduates majoring in Physics. It contains about 2000 problem covering the major areas of Physical science: mechanics, thermodynamics, molecular physics, electrodynamics, oscillations and waves, optics, atomic and nuclear physics. Each section is preceded by a short summary of appropriate formulas whose total number exceeds 300. The answers to all of the problems are given at the end of volume. Most difficult problems are provided with explanations....

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Topics: physics, problems, solutions, mechanics, electromagnetism, thermodyanmics, optics,, mir publishers...

567
567

1960
1960

by
A. Ya. Khinchin

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This course of mathematical analysis is a text-book for students of mechanico-mathematicaland physico-mathematical faculties ofour universities (and to some extent of pedagogical institutes as well) ; it is intended as the main text-book in the study of a science which appears in the curriculum under the heading of mathematical analysis and which deals with the theory of limits, infinite series and differential calculus with simple applications of these subjects.

Topics: mathematics, soviet, analysis, functions, limits, real numbers, continuous functions, derivatives,...

445
445

1964
1964

by
I. M. Gelfand; G. E. Shilov

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The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and...

Topics: mathematics, soviet, generalized functions, operators, properties, differentiation, integration,...

6,348
6.3K

1980
1980

by
Ye. S. Venttsel

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This book treats in a popular manner the elements of game theory and some methods for solving matrix games. It contains almost no proofs and illustrates the basic principles with examples. To be able to read the book, an acquaintance with the elements of probability theory and calculus is enough. The book is intended to disseminate the ideas of game theory which have practical economic or military applications.

Topics: little mathematics library, mathematics, mir publishers, finite games, game theory, infinite games,...

368
368

1962
1962

by
B. V. Gnedenko; A. Ya. Khinchin

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This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposeiy restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only...

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Topics: mathematics, probability, soviet, events, addition of probabilities, multiplication of...

61,670
62K

1980
1980

by
I. E. Irodov

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Fundamental Laws of Mechanics was first published in English by Mir in 1980. Currently there is 2002 reprint still in stock from CBS Publishers. The objective of this book is to draw the readers’ attention to the basic laws of mechanics, that is, to the laws of motion and to laws of conservation of energy, momentum and angular momentum, as well as to show how these laws are to be applied in solving various scientific problems. At the same time author has excluded all things of minor...

Topics: mechanics, physics, netwon's laws, momentum, relativity, conservation, angular momentum,, irodov,...

889
889

1964
1964

by
V. I. Smirnov

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Volume I is primarily concerned with differential and integral calculus. Particular emphasis is given to functional relationships in the theory of limits. The book also treats series, functions of several variables and complex numbers.

Topics: mathematics, calculus, differential, integral, series, functions, complex numbers

107
107

1968
1968

by
V. Ya. Arsenin

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This book consists of two parts. Part 1 gives an account of the methods for solving typical problems in mathematical physics and an introduction to integral equations. Part 2 deals with the appli cations of these methods to problems requiring the use of special functions. Extensive use is made in this book of the Dirac (5-function. Generalised functions are introduced and their applications are described. Each chapter concludes with a number of problems illustrating the main text (altogether...

Topics: physics, mathematical physics, special functions, differential equations, boundary value problems,...

357
357

1967
1967

by
I. M. Gelfand; G. E. Shilov

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The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and...

Topics: generalized functions, mathematics, soviet, differential equations, theory, cauchy problems,...

325
325

1969
1969

by
I. M. Gelfand; M. I. Graev; I. I. Pyatetskii-Shapiro

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eye 325

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The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and...

Topics: generalized functions, mathematics, soviet, representation theory, automorphic forms, p-adic...

98
98

1961
1961

by
P. S. Alexandroff

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This little book is intended for those who desire to obtain an exact idea of at least some of the most important of the fundamental concepts of topology but who are not in a position to undertake a systematic study of this many-sided and sometimes not easily approached science. It was first planned as an appendix to Hilbert’s lectures on intuitive geometry, but it has subsequently been extended somewhat and has finally come into the present form. I have taken pains not to lose touch with...

Topics: topology, mathematics, soviet, polyhedra, manifolds, topological spaces, algebraic complexes,...

96
96

1964
1964

by
A. N. Tychonov; A. A. Samarski

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This text reflects the authors' unique approach to the study of the basic types of partial differential equations of mathematical physics. The system atic presentation of the material offers the reader a natural entree to the subject. Each of the basic types of equations which are to be studied is motivated by its physical origins. The derivation of an equation from the physics to its final mathematical structure is very instructive to the student. The authors have gone to great length to...

Topics: physics, soviet, mathematical physics, partial differential equations, hyperbolic differential...

323
323

1964
1964

by
I. M. Gelfand; N. Ya. Vilenkin

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The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and...

Topics: generalized functions, mathematics, soviet, analysis, harmonic analysis, kernel theorem, nuclear...

331
331

1968
1968

by
I. M. Gelfand; G. E. Shilov

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The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and...

Topics: generalized functions, mathematics, soviet, linear topological spaces, schwartz spaces, general...

670
670

1964
1964

by
V. I. Smirnov

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This volume begins with full accounts of the theory of integral equations and with the calculus of variations. Included are the fundamental theory of partial differential equations and systems of equations in which characteristics plays a central role.

Topics: mathematics, integral equations, theory, calculus of variations, partial differential equations,...

88
88

1967
1967

by
A. N. Tychonov; A. A. Samarski

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The present volume covers the three-dimensional aspects of the material contained in the first volume. There is an additional chapter on the special functions that arise in the solution of the problems treated; the basic proper ties and representations of these functions are derived in a simple and straight forward manner. As in the first volume, the topics in each chapter are motivated by their physical origins and are supplemented by examples, as well as by exercises. A few additional but...

Topics: mathematical physics, partial differential equations, soviet, applications, wave propagation, heat...

656
656

1964
1964

by
V. I. Smirnov

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The final volume presents the theory of integration and elements of functional analysis. Although functional analysis has become a very abstract discipline, its general results can be used to derive the solution of particular problems in classical analysis and in applied mathematics.

Topics: mathematics, integration, functions, functional analysis, applied mathematics, transforms,...

683
683

1964
1964

by
V. I. Smirnov

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This volume is primarily concerned with advanced calculus. Covered are ordinary differential equations, linear differential equations, multiple and line integrals, vector analysis and field theory, and the mathematics necessary for the discussion of problems in classical field theory.

Topics: mathematics, soviet, advanced calculus, ordinary differential equations, linear differential...

5,034
5.0K

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This text is designed as a course of mathematics for higher technical schools. It contains many worked examples that illustrate the theoretical material and serve as models for solving problems. The first two chapters "Number. Variable. Function" and "Limit. Continuity of a Function" have been made as short as possible. Some of the questions that are usually discussed in these chapters have been put in the third and subsequent chapters without loss of continuity. This has...

Topics: mirtitles, mir books, mathematics, calculus, integral, differential, equations, limits, physics

238
238

1960
1960

by
K. Tsiolkovsky

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Taken as a whole, this book makes interesting, even fascinating reading. Tsiolkovsky’s stories are of tremen dous interest and urge us to ponder over the many purely specific problems of space travel. They will, undoubtedly, increase the number of enthusiasts in this branch of science and technology. His “On the Moon”, “Outside the Earth” and other stories afford hours of entertainment and leave a lasting impression. Illustrated here is the world outlook of Konstantin Tsiolkovsky,...

Topics: space, faring, space travel, space living, space ships, soviet, future, tsiolkovsky, planets,...

109
109

1962
1962

by
D. O. Shklarsky; N. N. Chentzov; I. M. Yaglom

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T his book contains 320 unconventional problems in algebra, arithme tic, elementary number theory, and trigonometry. Most of these problems first appeared in competitive examinations sponsored by the School Mathematical Society of the Moscow State University and in the Mathematical Olympiads held in Moscow. The book is designed for students having a mathematical background at the high school level ;T very many of the problems are within reach of seventh and eighth grade students of...

Topics: mathematics, problem book, problems and solutions, olympiads, number theory, algebra, arithmetic,...

230
230

1958
1958

by
K.M. Bykov; G.Y. Vladimirov; V.V. Delov; G.P. Konradi; A.D. Slonim; K. M. Bykov (Ed.)

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The first edition of this text-book of physiology appeared in 1it.')!). It was reprinted in the difficult war years, while in 19.11-53 much of it was rewritten. For the present edition some parts have been abridged and a number of changes and additions made. In preparing this text-book, the authors sought to reflect as fully as possible all the fundamentally new ideas introduced into physiology by I. P. Pavlov, our teacher and renowned naturalist. Pavlov paved the way for an understanding of...

Topics: medicine, physiology, life science, human, fundamental concepts, regulation, physiological...

43,755
44K

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The main idea The main idea behind this book is to amalgamate the description of the basic concepts of the theory and the practical methods of solving problems in one book. Therefore, each chapter contains first a description of the theory of the subject being considered (illustrated by concrete examples) and then a set of selected problems with solutions. The problems are closely related to the text and often complement it. Hence they should be analYfed together with the text. In author’s...

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Topics: electromagnetism, physics,, irodov, mir publishers, moscow, physics, mechanics, problems

40,276
40K

1987
1987

by
V. S. Wolkenstein

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When solving a problem, first of all establish the physical laws which it is based on. Then use the formulas expressing these laws to solve the problem in symbols, and finally substitute the numerical data in one system of units. This collection of problems is based on the International System of Units preferred today in all the fields of' science, engineering and economy. Other units can be converted to 51 units with the aid of the relevant tables given in this book. Each section is preceded...

Topics: problems and solutions, mechanics, kinetmatics, dynamics, statics, thermodynamics, gases, gas...

33,351
33K

1980
1980

by
A. A. Pinsky

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This book offers the reader over 750 problems concerning the same subject matter as is treated in the two volumes of the "Fundamentals of Physics". The order of presentation of the theoretical material is also the same. The availability of a great number of problem books based on the traditional school physics curriculum prompted us to enlarge those sections which are absent from traditional problem books, namely the dynamics of a rotating rigid body, the elements of the theory of...

Topics: physics, problems and solutions, quantim physics, nuclear physics, elementary particles, vibrations...

178
178

1970
1970

by
A. N. Panchenkov

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The results of the investigation in the area of the hydrofoil theory are systematized in this monograph. A great deal of attention is given to the mechanical-mathe matical aspects of the hydrofoil theory and to the develop ment of the effective methods for solving the basic equa tions in the hydrofoil theory. The book considers the theory of steady motion of a wing with an arbitrary profile in a plane-parallel flow; the linear theory of thin hydrofoils in the two-dimensional and...

Topics: soviet, physics, hydrodynamics, hydrofoils, technology, data, tables, hydrofoil theory,...

572
572

1964
1964

by
V. I. Smirnov

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The second part of Volume III is primarily concerned with the theory of complex variables. It presents a complete picture of the aspects of the theory which are of most direct interest to applied mathematicians.

Topics: complex variables, soviet, mathematics, higher mathematics, analysis

66
66

1960
1960

by
P. S. Aleksandrov

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This is the third volume of Combinatorial Topology. It covers Homological manifolds, the duality theorems, cohomology groups of compacta, continnuous mappings of polyhedra.

Topics: topology, mathematics, soviet, homological manifolds, duality theorems, cohomology, continuous...

630
630

1964
1964

by
V. I. Smirnov

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The first part of Volume III gives a full account of the two branches of modern algebra — linear algebra and the theory of groups —which are most frequently used in theoretical physics.

Topics: mathematics, physics, modern algebra, group theory, matrices

188
188

1961
1961

by
G. Polyakov; A. Kovarsky

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A manual for trainee electricians

Topics: electrical engineering, wiring, system, design, safety, electric power, electric generation,...

32,060
32K

1982
1982

by
L. V. Tarasov

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The whole book is presented as a relatively free-flowing dialogue between the AUTHOR and the READER. From one discussion to another the AUTHOR will lead the inquisitive and receptive READER to different notions, ideas, and theorems of calculus, emphasizing especially complicated or delicate aspects, stressing the inner logic of proofs, and attracting the reader's attention to special points. I hope that this form of presentation will help a reader of the book in learning new definitions such as...

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Topics: mathematics, calculus, mir publishers, calculus, high school, mir books

7,493
7.5K

1982
1982

by
B. M. Yavorsky and A. A. Detlaf

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About the book (From the Preface) The basic sciences and physics, in particular, are of prime importance today in the training of engineers for the various branches of the national economy. This has led to fundamental changes in recent years in the teaching of physics in engineering institutes, and to the students of other educational institutions in which they do not major in physics. The scope and scientific level of physics courses have been substantially supplemented and cover the main...

Topics: physics, handbook, motion, mechanics, statistical physics, thermodynamics, quantum physics,...

807
807

1977
1977

by
S. M. Nikolsky

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The major part of this two-volume textbook stems from the course in mathematical analysis given by the author for many years at the Moscow Physico-technical Institute. The first volume consisting of eleven chapters includes an introduction (Chapter 1) which treats of fundamental notions of mathematical analysis using an intuitive concept of a limit. With the aid of visual interpretation and some considerations of a physical character it establishes the relationship between the derivative and...

Topics: mathematics, analysis, Fundamentals of Mathematical Analysis, Real Numbers Limit of Sequence, Limit...

62
62

1967
1967

by
A. M. Yaglom; I. M. Yaglom

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Designed for advanced high school students, undergraduates, graduate students, mathematics teachers and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems—ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians. Translated from a well-known Russian work entitled Non-Elementary Problems in an Elementary Exposition, the chief aim of the book is to acquaint the...

Topics: mathematics, problems, problem book, russian, problems and solutions, points, lattices, plane,...

99
99

1964
1964

by
A. M. Yaglom; I. M. Yaglom

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This book is the first of a two-volume translation and adaptation of a well-known Russian problem book entitled Non-Elementary Problems in an Elementary Exposition The first part of the original, Problems on Combinatorial Analysis and Probability Theory, appears as Volume I, and the second part, Problems from Various Branches of Mathematics, as Volume II. The authors, Akiva and Isaak Yaglom, are twin brothers, prominent both as mathematicians and as expositors, whose many excel lent books...

Topics: mathematics, problem book, soviet, chessboard problems, combinatorial problems, probability theory,...

106
106

1966
1966

by
H. Meschkowski

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We shall discuss some famous problems which occupied the attention of mathematicians for thousands of years and which have been shown to be unsolvable in recent decades and, in addition, some very old classical problems which, up till now, have scarcely been mentioned in books on the subject. We have endeavoured to vary well-known methods of proof for classical problems and to generalise their formulation. Thus, the object of this book is not the systematic representation of a well-defined...

Topics: mathematics, problems, geometry, triangles, circles, regular packing, irregular packing, congruent...

761
761

1969
1969

by
S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko

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This is the second work book in the Pocket Mathematical Library. It is essentially a programmed text inviting you to learn about limits (a key concept of modern mathematics) by solving a series of 56 problems and reading a little interspersed text. The problems are for the most part equipped with hints and answers (or both), enough for you to get the hang of them (harder problems are marked with asterisks). Moreover, the problems fall into three groups. The first, called “Preliminaries,”...

Topics: mathematics, soviet, limits, calculus, problems, problem books, high school, concepts, word...

103
103

1963
1963

by
E. B. Dynkin; V. A. Uspenskii

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Random Walks is a translation of Part Three of Mathematical Conversations by E. B. Dynkin and V. A. Uspenskii, which was published in the Russian series, Library of the Mathematics Circle. The originality of the exposition and the variety of the problems presented here make this booklet especially useful in stimulating an inventive approach to mathematics. Extensive solutions to all problems are provided. This booklet deals with some of the more elementary problems in probability theory. The...

Topics: mathematics, soviet, random numbers, random walks, probability, random walk on infinite line,...

59
59

1957
1957

by
P. S. Aleksandrov

texts

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Volume 2 of this three volume set on Combinatorial Topology covers Betti Groups and Delta-Groups comprehensively.

Topics: topology, mathematics, soviet, betti groups, invariance, relative cycles, chains, delta-groups

163
163

1964
1964

by
M. Kireyev; A. Kovarsky

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A manual for the installers of electrical switch gears and power lines

Topics: electrical engineering, electrical systems, supply, switchgears, soviet, power lines, power...

502
502

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The book provides an overview of various aspects of engineering mechanics. The first part (chapters 1 to 14) covers theoretical aspects of statics, kinematics and dynamics required for the later sections. The second part covers theory of machines including transmission mechanisms and connections. It also covers fundamental concepts of strain including strength of materials.

Topics: engineering, physics, mechanics, stress, theory of machines, transmission, connectors, dynamics,...

199
199

1964
1964

by
I. P. Bazarov

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This book is the first part of a course on “Thermodynamics and Statistical Physics” held at present in physical and physicomathe- matical faculties of our universities. In comparison with existing courses of thermodynamics the book has the following distinctive features: 1. Greater attention than in other books is devoted to a dis cussion of the initial propositions of thermodynamics, which en ables us to establish both the limitations of thermodynamics and its organic connexion with...

Topics: physics, thermodynamics, first law of thermodynamics, second law of thermodynamics, cyclical...

9,617
9.6K

1988
1988

by
G. S. Landsberg (Ed.)

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In this post, we will see Elementary Textbook on Physics - Volume 1 - Mechanics, Heat and Molecular Physics edited by G. S. Landsberg. About the book: Volume 1 covers aspects of basic mechanics and fluid mechanics (both statics and dynamics), heat and molecular physics. These topics include: Kinematics. Dynamics. Statics. Work and Energy. Curvilinear Motion. Motion in Noninertial Reference Systems and inertial Forces. Hydrostatics. Aerostatics. Fluid Dynamics. Thermal Expansion of Solids and...

Topics: Kinematics, Dynamics, Statics, Work and Energy, Curvilinear Motion, Motion in Noninertial Reference...

129
129

1959
1959

by
P. S. Alexandroff

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Next to the concept of a function, which is a most important concept pervading the whole of mathematics, the concept of a group is of the greatest significance in the various branches of mathematics and in its applications. The group concept is not any more difficult to appreciate than the function concept; indeed one can more easily become familiar with this concept during the early stages of a mathematical education than with the subject-matter of elementary mathematics. Every pupil in a...

Topics: group theory, mathematics, soviet, group of permutations, isomorphisms, cyclic subgroups, simple...

95
95

1968
1968

by
A. A. Sveshnikov

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Students at all levels of study in the theory of probability and in the theory of statistics will find in this book a broad and deep cross-section of problems (and their solutions) ranging from the simplest combinatorial probability prob lems in finite sample spaces through information theory, limit theorems and the use of moments. The introductions to the sections in each chapter establish the basic formulas and notation and give a general sketch of that part of the theory that is to be...

Topics: mathematics, problems and solutions, problem book, statistics, soviet, random functions,...

95
95

1963
1963

by
E. B. Dynkin; V. A. Uspenskii

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Multicolor Problems is a translation of Part One of Mathematical Conversations by E. B. Dynkin and V. A. Uspenskii, which was published in the Russian series. Library of the Mathematics Circle. The originality of the exposition and the variety of the problems presented here make this booklet especially useful in stimulating an inventive approach to mathematics. This booklet deals with several of the classical map-coloring problems. The technique is one of developing an ordered presentation...

Topics: mathematics, soviet, map problem, four colour problem, coloring with two colors, dual maps, five...

543
543

1965
1965

by
A. Ya. Khinchin

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Eight Lectures on Mathematical Analysis isatranslation and adaptation of a book by the outstanding Russian mathe matician A. Ya. Khinchin. It is based on a series of lectures delivered at the University of Moscow by Professor Khinchin to improve the mathematical qualifications of engineers. In this book, the reader will find a masterful outline of the fundamental ideas of mathematical analysis. Inessential de tails have purposely been omitted, and the resulting exposition is clear and...

Topics: soviet, mathematics, analysis, continuum, limits, functions, series, derivative, integrals,...

221
221

1950
1950

by
A. N. Kolmogorov

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The purpose of this monograph is to give an axiomatic foundation for the theory of probability. The author set himself the task of putting in their natural place, among the general notions of modern mathematics, the basic concepts of probability theory—concepts which until recently were considered to be quite peculiar. This task would have been a rather hopeless one before the introduction of Lebesgue’s theories of measure and integration. However, after Lebesgue’s publication of his...

Topics: probability theory, soviet, mathematics, distributions, statistics, axioms, infinite dimensional...

580
580

1969
1969

by
E. B. Dynkin; S. A. Molchanov; A. L. Rozental; A. K. Tolpygo

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Regardless of their difficulty, the problems in this collection will all yield to the methods of high school mathematics. No attempt has been made to arrange the problems in order of difficulty, and hence there is no need to solve them consecutively. Thus you can dip into the collection at any point and solve the problems in any order. If you can’t solve a problem right away, don’t be in a hurry to look up the solution. However, if the problem continues to resist your efforts to solve it,...

Topics: mathematics, problem book, soviet, geometry, algebra, polygons, numbers, series, solid geometry,...

108
108

1956
1956

by
P. S. Aleksandrov

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This volume is a translation of the first third of P. S. Aleksandrov’s Kombinatornaya Topologiya. An appendix on the analytic geometry of Euclidean n-space is also included. The volume, complete in itself, deals with certain classical problems such as the Jordan curve theorem and the classification of closed surfaces without using the formal techniques of homology theory. The elementary but rigorous treatment of these problems, the introductory chapters on complexes and coverings and their...

Topics: topology, mathematics, soviet, topological spaces, surfaces, dimensions, coverings, jordan theorem

11,045
11K

1989
1989

by
I. V. Savelyev

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Book 2 of the General course on physics

Topics: physics, electricity magnetism, wavs, optics

401
401

1964
1964

by
A. Ya. Khinchin

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The late Alexander J. Khinchin was born in Russia in 1894. One of the founders of the Soviet school of probability theory, Khinchin was made a full professor at Moscow University in 1922 and held that position until his death. His teaching skill is discernible in the clear and straightforward presentation of his subject. Designed for use as an expository text in the university curriculum, the book is basically of an elementary nature, the author confining his attention to con tinued fractions...

Topics: soviet, mathematics, convergent fractions, infinite continued fractions, general approximations,...

5,199
5.2K

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We now come to A Collection of Questions and Problems in Physics by L. A. Sena. The aim of the present collection of questions and problems is to develop practical skills during study of one of the fundamental sciences, physics. The Collection is intended for the self-instruction of students of technical colleges. The best way to use it is to solve the problems while preparing for term exams. The Collection contains more than 400 questions and problems covering all the sections of the physics...

Topics: problems and solutions, physics, high school, mir publishers, mechanics, thermodynamics,...

336
336

1963
1963

by
B. A. Trakhtenbrot

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This booklet, Algorithms and Automatic Computing Machines, gives some of the historical aspects of algorithms and goes on to outline the development of the theory of algorithms that has taken place in the twentieth century. In defining the term algorithm, the author considers the close relation between algorithms and computing machines. The reader will need no specific mathematical background beyond intermediate algebra, but he should be able to follow a rather complex train of logical thought....

Topics: computers, mathematics, algorithms, computer programmes, turing machines, games, word problems,...

103
103

1950
1950

by
Pyotr Pavlenko

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The novel Happiness (1947; State Prize of the USSR) was inspired by author's experience during the restoration of the Crimea's economy. The hero, the Communist Voropaev, is depicted comprehensively and in depth.

Topics: soviet literature, novel, stalin prize winner, foreign languages publishing house

13,672
14K

1979
1979

by
I. V. Savelyev

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The present book is the first volume of a three volume general course in physics. From the Preface: I have done everything in my power to acquaint students with the basic ideas and methods of physics and to teach them how to think physically. This is why the book is not encyclopedic in its nature. It is mainly devoted to explaining the meaning of physical laws and showing how to apply them consciously. What I have tried to achieve is a deep knowledge of the fundamental principles of physics...

Topics: physics, mechanics, molecular physics

441
441

1968
1968

by
A. Ya. Khinchin

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Khinchin was a teacher-genius before his time and a mathematician of outstanding calibre. The main contents of this book are four articles written by A. Ya. Khinchin for Russian mathematics teachers. 101 pages are devoted to four articles written between 1938 and 1949 by Khinchin (who died in 1959), the remainder of the book to biographical notes and an appendix on mathematics teaching in the Soviet school. One of the best sections is the one on the concept of limit. The author traces the...

Topics: mathematics education, teaching mathematics, learning mathematics, student misconceptions, learning...

8,423
8.4K

1982
1982

by
N. Antonov; M. Vygodsky; V. Nikitin; A. Sankin

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In this post, we will see another mathematics problem-solution book titled Problems in Elementary Mathematics for Home Study by N. Antonov, M. Vygodsky, V. Nikitin, A. Sankin. About the book A collection of 928 problems in arithmetic, algebra, geometry and trigonometry (with answers) prepared for home study by correspondence students and others studying or brushing supplementary mathematics without a teacher. Problems with similar solutions are grouped together with a detailed example of...

Topics: mir publishers, moscow, soviet, mathematics, problem book, arithmetic, algebra, algebraic...

640
640

1969
1969

by
S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko

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This book has a very simple structure. It begins with a brief section called “Preliminaries” presenting the modicum of back ground information needed to solve the 89 problems stated in the next section, called “Sample Problems.” These problems are, for the most part, equipped with hints or answers or both. But thenub of thebook is the section called “Detailed Solutions,” where you will find all 89 sample problems worked out in full detail. In our opinion, just studying these...

Topics: mathematics, high school, problems, workbooks, soviet, sequences, combinatorics, patterns, solutions

121
121

1968
1968

by
D. I. Blokhintsev

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The present monograph is devoted to the principal problems of quantum mechanics and is based on the conception first stated in my course on ‘Fundamentals of Quantum Mechanics’. The scope and purpose of the above course did not allow some principal questions to be brought out as fully as they deserved, and besides, some important points were only very recently developed to a sufficient extent. This refers especially to the analysis of the action of the measuring instrument, whose dual role...

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Topics: physics, quantum mechanics, determinism, classical mechanics, quantum ensemble, gibbs ensemble,...

6,243
6.2K

1988
1988

by
G. S. Landsberg (Ed.)

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In this post, we will see Elementary Textbook on Physics - Volume 2 - Electricity And Magnetism edited by G. S. Landsberg. About the book: Volume 2 covers aspects of basic aspects of electricity and magnetism. These topics include: Electric Charges. Electric Field. Direct Current. Thermal Effect of Current. Electric Current in Electrolytes. Chemical and Thermal Generators. Electric Current in Metals. Electric Current in Gases. Electric Current in Semiconductors. Basic Magnetic Phenomena....

Topics: Electric Charges, Electric Field, Direct Current, Thermal Effect of Current, Electric Current in...

6,343
6.3K

1989
1989

by
G. S. Landsberg (Ed.)

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In this post, we will see Elementary Textbook on Physics - Volume 3 - Oscillations And Waves Optics Atomic And Nuclear Physics edited by G. S. Landsberg. About the book: Volume 3 covers aspects of wave motion, oscillations, optics and atomic and modern physics. These topics include: Basic Concepts. Mechanical Vibrations. Acoustic Vibrations. Electric Oscillations. Wave Phenomena. Interference of Waves. Electromagnetic Waves. Light Phenomena: General. Photometry and Lighting Engineering. Basic...

Topics: Basic Concepts, Mechanical Vibrations, Acoustic Vibrations, Electric Oscillations, Wave Phenomena,...

9,858
9.9K

1987
1987

by
V. Litvinenko; A. Mordkovich

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In this post, we will see the book Solving Problems In Algebra and Trigonometry - V. Litvinenko, A. Mordkovich. About the book: This study aid is intended for students of physical and mathematical faculties of pedagogical institutes. The book contains about 2000 examples, problems, and exercises of which 1700 problems are for solving independently. Along with rather simple problems, there are also problems whose solution requires serious and sometimes inventive work. In the course of...

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Topics: mathematics, problem books, problems and solutions, mir publishers, algebra, trigonometry,...

635
635

1987
1987

by
S. M. Nikolsky

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A textbook for university students (physicists and mathematicians) with special supplementary material on mathematical physics. Based on the course read by the author at the Moscow Engineering Physics Institute. Volume 2 contains multiple integrals, field theory. Fourier series and Fourier integral, differential manifolds and differential forms, and the Lebesgue integral.

Topics: mathematics, analysis, multiple integrals, field theory, Fourier series, Fourier integral,...

326
326

1965
1965

by
S. Straszewicz

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THIS book is a translation of the second Polish edition, published in 1960, in which various improvements were made. The problems set at the contests require only a knowledge of school mathematics (i.e. elementary algebra, geometry and trigonometry) but are on the whole more difficult than the usual school exercises. Their degree of difficulty, however, is not uniform, for it is considered desirable that not only the most gifted pupils but also those of average ability should —with a...

Topics: mathematics, polish, problem books, mathematical puzzles, olympiad, arithmetic, algebra, integers,...

573
573

1964
1964

by
B. M. Budak; A. A. Samarskii; A. N. Tikhonov

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THE PRESENT book is based on the practical work with equations of mathematical physics done in the Physics Faculty and the external section of Moscow State University. The problems set forth were used in the course "Equations of Mathematical Physics" by A. N. Tikhonov and A. A. Samarskii, and in "A Collection of Problems on Mathematical Physics" by B. M. Budak. However, in compiling the present work the range of problems examined has been considerably enlarged and the...

Topics: mathematics, physics, problem books, soviet, partial differential equations, second order,...

362
362

1957
1957

by
A. Ya. Khinchin

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The book is a translation of two papers written by the Russian mathematician, A. I. Khinchin, for the expository journal Uspekhi . These papers present the mathematical foundations of information theory. While completely rigorous, the flavour of the engineering applications which led to the theory runs throughout and very much helps the intuition. Khinchin has here reformulated basic concepts and presents for the first time rigorous proofs of certain fundamental theorems in the subject. The...

Topics: mathematics, information, noise, entropy, uniqueness theorem, markov chains, coding theory,...

9,342
9.3K

1989
1989

by
B. S. Belikov

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In this post we will see another book in the Problems and Solutions book, namely, General Methods for Solving Physics Problems by B. S. Belikov About This book attempts to create systematic use of generalised methods , general methodological principles, and very general concepts in a segment of students instruction of vital importance, the solution of physics problems. The approach is based on the application of the most general concepts of physics to the solution of any problem. I consider the...

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Topics: physics, problems and solutions, kinematics, laws, general methods, mechanics, rigid body,...

357
357

1963
1963

by
A. P. Domoryad

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From the wide variety of material collected by various authors under the name of mathematical games and pastimes, there can be extracted several groups of “classical pastimes”, which drew the attention of mathe maticians for a long time; (1) Pastimes, connected with the search for original solutions of problems, which permit a practically un limited number of solutions (see e. g. “Magic squares” — ch. 16, “The problem of the chess knight” — ch. 19, etc.). Here, the interest...

Topics: mathematics, soviet, recreational, mathematical games, mathematical puzzles, notations, chess...

356
356

1960
1960

by
A. Y. Khinchin

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In the area of quantum statistics, I show that a rigorous and systematic mathematical basis of the computational formulas of statistical physics does not require a special unwieldy analytical apparatus (the method of Darwin-Fowler), but may be obtained from an elementary application of the well-developed limit theorems of the theory of probability. Apart from its purely scientific value, which is evident and requires no comment, the possibility of such an appli cation is particularly...

Topics: mathematics, physics, quantum mechanics, particles, states, quantum statistics, theory of...

498
498

1952
1952

by
A. Y. Khinchin

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This little book is devoted to three theorems in arithmetic, which, in spite of their apparent simplicity, have been the objects of the efforts of many important mathematical scholars. The proofs which are presented here make use of completely elementary means, (although they are not very simple). The book can be understood by beginning college students, and is intended for wide circles of lovers of mathematics.

Topics: mathematics, soviet, number theory, series, arithmetic progression, mann's theorem, waring's...

27,372
27K

1975
1975

by
V. P. Minorsky

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About the book: The list of topics covered is quite exhaustive and the book has over 2500 problems and solutions. The topics covered are plane and solid analytic geometry, vector algebra, analysis, derivatives, integrals, series, differential equations etc. A good reference for those looking for many problems to solve. The book was translated from the Russian by Yuri Ermolyev and was first published by Mir Publishers in 1975. Chapter I. Plane Analytic Geometry 11 1.1. Coordinates of a Point...

Topics: mathematics, problems and solutions, algebra, calculus, geometry, series, differential equations,...

359
359

1949
1949

by
A. Ya. Khinchin

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The present book considers as its main task to make the reader familiar with the mathematical treatment of statistical mechanics on the basis of modem concepts of the theory of probability and a maximum utilization of its analytic apparatus. The book is written, above all, for the mathematician, and its purpose is to introduce him to the problems of statistical mechanics in an atmosphere of logical precision, outside of which he cannot assimilate and work, and which, unfortunately, is lacking...

Topics: soviet, physics, mathematics, statistical mechanics, ensemble, distributions, geometry of phase...

161
161

1963
1963

by
Ya. S. Dubnov

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This booklet presents examples of faulty geometric proofs, some of which illustrate mistakes in reasoning that a student might make, while others are classic sophisms, Chapters 1 and 3 present these faulty proofs, and then Chapters 2 and 4 give comprehensive analyses of the mistakes. A background of high school geometry is presupposed, with trigonometry needed for some details.

Topics: mathematics, soviet, topics in mathematics, high school, geometric proof, geometric reasoning,...