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Little Mathematics Library- An Unusual Algebra
The next book on LML series is here. An Unusual Algebra by I.M.Yaglom Translated from the Russian by G. Volosova.
About
The present book is based on the lecture given by the author to senior pupils in Moscow on the 20th of April of 1966. The distinction between the material of the lecture and that of the book is that the latter includes exercises at the end of each section (the most difficult problems in the exercises are marked by an asterisk). At the end of the book are placed answers and hints to some of the problems. The reader is advised to solve most of the problems, if not all, because only after the problems have been solved can the reader be sure that he understands the subject matter of the book. The book contains some optional material (in particular, Sec. 7 and Appendix which are starred in the table of contents) that can be omitted in the first reading of the book. The corresponding parts of the text of the book are marked by one star at the beginning and by two stars at the end. However, in the second reading of the book it is advisable to study Sec. 7 since it contains some material important for practical applications of the theory of Boolean algebras.
The bibliography given at the end of the book lists some books which can be of use to the readers who want to study the theory of Boolean algebras more thoroughly.
The author is grateful to S. G. Gindikin for valuable advice and to F. I. Kizner for the thoroughness and initiative in editing the book.
Thanks to Gnv64 for uploading this GEM.
OCR|PDF|130p|300dpi
and here
Posted in books, little mathematics library, mathematics, mir books, mir publishers, soviet
Tagged algebra, little mathematics library, lml, mathematics, mir, unusual
15 Comments
Selected Problems on Physics – Myasnikov, Osanova
In this post we will see another Problem and Solution book:
Selected Problems on Physics by S. P. Myasnikov, T. N. Osanova
About
The main purpose of the book is to help those preparing for entrance examinations to engineering colleges in revisiing the high-school physics course and in further studies at the college.
The fourth edition of the book came out in 1981. Amendments to the physics curriculum at the high-school and polytechnic level have been incorporated as well as extra material on other branches of the physics course. The 6Eth edition was prepared by taking into account the modified style of problems set at the entrance examinations.
Each section begins with a brief description of the basic theory, physical laws, and formulas. This is followed by worked problems and a few descriptive problems. Exercises and questions for revision are givena at the end of each section. The problems are solved according to the unified and optimal approach described in the introduction. By solving the problems, students will acquire a firm theoretical background and knowledge which will help them in their work in whichever sector of the economy they will be employed. The appendices contain tables required for solving problems, SI units of physical quantities. And the rules for approximate calculations.
In addition to the problems composed by the autbors this book also includes a selection of problems set for the aptitude tests and entrance examination in physics at the N.E. Buaman Higher Technical School and other technical institutios in Moscow.
Intended for students of preparatory courses at engineering colleges, this book can also be used by high-school students, students of intermediate colleges, and those interested in self-education.The author is indebted to Prof. A.N. Remizov and Asst. Prof. N .V. Tygliyan for their enormous help in preparing the manuscript for publication.
The book was translated from the Russian by Natalia Wadhwa and was first published by Mir in 1990.
You can get the book here. and here
All credits to the original uploader.
Posted in books, engineering, mir books, mir publishers, physics, problem books, science
Tagged atomic nuclei, atoms, currents, diffraction, dynamics, electricity, electrstatics, gas theory, gases, geometrical optics, kinetmatics, mechanics, optics, oscillations and waves, problems and solutions, refraction, statics, thermodynamics
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General Methods for Solving Physics Problems – Belikov
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 theoretical aspects underlying the general approach to problem solution and methods for solving standard, non-standard, non-specific, and general problems.
The book was translated from the Russian by Eugene Yankovsky and was first published by Mir in 1989.
You can get the book here. and here
All credits to the original uploader.
Contents
The book has three parts
Part 1: The Theoretical Bases of the General Approach to Solving Any Physics Problem
Chapter 1: The System of Fundamental Concepts of Physics
1 Some General Concepts of Physics
2 Idealization of a Physics Problem
3 Classification of Physics Problems
Chapter 2: Some General Methods for Solving Physics Problems
4 Stages in Solving a Formulated Problem
5 Method of Analysing the Physical Content of a Problem
6 General-Particular Methods. The DI Method
7 The Simplification and Complication Method. The Estimate Method
8 The Problem Statement Method
9 Another Classification of Formulated Problems
Part 2: Solution of Standard Problems
Chapter 3: The motion of a particle
10 Particle Kinematics
11 Particle Dynamics
12 Mechanical Oscillations
13 Conservation Laws
Chapter 4: The motion of a rigid body
14 Rigid Body Dynamics
15 Conservation Laws in rigid body Dynamics
Chapter 5: The Gravitational Field
16 The Basic Problem of Gravitational Theory
17 The Gravitational Field Generated by a system of particles
18 The Gravitational Field Generated by an arbitrary Mass Distribution
Chapter 6: The Electric Field
19 The Electrostatic Field in Vacuum
20 The Electrostatic Field in Insulators
21 Conductors in Electrostatic Field
22 Direct Current
Chapter 7: The Magnetic Field
23 The Magnetic Field in a Vacuum
24 The Magnetic Field in Matter
Chapter 8: The Electromagnetic Field
25 Electromagnetic Induction and Self-Induction
26 Electromagnetic Oscillations
Chapter 9: Electromagnetic Waves
27 Interference of Light
28 Diffraction of Light
Chapter 10: Thermodynamics
29 The First Law of Thermodynamics
30 The Second Law of Theormodynamics
Chapter 11: Kinetic Theory
31 The Maxwell-Boltzmann Distribution
32 The Boltzmann Distribution
Part 3: Solution of Nonstandard, Nonspecified and Arbitrary problems
Chapter 12: Non-standard and Original Problems
33 Non-standard Problems
34 Original Problems
Chapter 13: Nonspecified, Research and Arbitrary Problems
35 Nonspecified Problems
36 Research Problems
37 Arbitrary Problems
Conclusion
Posted in books, mathematics, mir books, mir publishers, physics, problem books, science
Tagged boltzmann distribution, electric field, electromagnetic field, first law, general methods, gravitational field, kinematics, kinetic theory, laws, light, magnetic field, maxwell distribution, mechanics, physics, problems and solutions, research problems, rigid body, second law, thermodynamics, waves
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Mathematics Can Be Fun – Yakov Perelman
This one was long pending: Mathematics Can Be Fun by Yakov Perelman
To read and enjoy this book it will suffice to possess a modest knowledge of mathematics, i.e. a knowledge of the rules of arithmetic 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 problems 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 6- “Number Giants” -is adapted from one of the authors earlier pamphlets, with four new stories added.
You can get the book here and here.
Arabic version here.
All credits to the original uploaders.
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged algebra, fun, geometry, mathematics, perelman, puzzles, yakov perelman
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Generalized Functions in Mathematical Physics – Vladimirov
In this post we will see the book Generalized Functions in Mathematical Physics by V. S. Vladimirov.
About the book:
… modern mathematical physics makes extensive use of the latest attainments of mathematics, one of which is the theory of generalized functions. The present monograph is devoted to a brief exposition of the fundamentals of that theory and of certain of its applications to mathematical physics.
The present monograph is an expanded version of a course of lectures that the author has been delivering to students, post-graduates, and associates of the Moscow Physics and Technology Institute and the Steklov Mathematical Institute.
The book was translated from the Russian by George Yankovsky and was published Mir Publishers in 1979.
You can get the book here.
Holography And Its Application – Ostrovsky
In this post we will see Holography And Its Application by Yu. I. Ostrovsky.
About the book:
The books explains basic physical fundamentals of a hologram and holography. In the second chapter various experiments on holography are detailed out. In the final chapter various applications of holography are given. The book also contains an extensive list of references on the subject.
The book was translated from the Russian by G. Leib. The book was published by Mir in 1977.
All credits to the original uploader.
You can get the book here. and here
Contents
Chapter 1 A HOLOGRAM AND ITS PROPERTIES
1.1. The Physical Principles of Holography 8
1.2. Properties of a Hologram 58
Chapter 2 HOLOGRAPHIC EXPERIMENTS 73
2.1. Arrangements for Forming Holograms 74
2.2. Sources of Light for Forming Holograms 101
2.3. Reconstruction of Wavefront 123
2.4. Hologram Recording Materials 140
Chapter 3 THE MAIN APPLICATIONS OF HOLOGRAPHY 161
3.1. Three-Dimensional Images 162
3.2. Holographic Interferometry 185
3.3. Spatial Filtration and Character Recognition 217
3.4. Other Applications of Holography 228
Epilogue 239
References 240
Name Index 256
Subject Index 264
Posted in books, mir books, physics
Tagged applications, holograms, holography, interferometry, lasers, light, mir books, optics
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Selected Questions and Problems in Physics – Gladkova, Kutylovskaya
In this post we will see Selected Questions and Problems in Physics by R. Gladkova and N. Kutylovskaya.
About the book
This collection of questions and problems in physics is in tended for the students of correspondence courses and evening classes in intermediate colleges and is in accord with the existing curriculum .
The purpose of this book is to teach the students how to solve problems in physics. This should stimulate correspondence course students to work independently, encourage them to accumulate an adequate theoretical background, and develop in them the requisite aptitude for practical activity in various branches of the economy.
Each section begins with a brief description of the basic theoretical concepts, laws, and formulas. This provides the maxim um possible help to correspondence course students in
solving problems. A large number of problem s are supplied with detailed solutions and an analysis of the results, while in some cases different approaches are used to solve the same
problem so that the student can discover the most rational form of independent study.The theoretical material is presented in a lucid form, and most problems are of medium complexity. However, each section contains tougher problem s as well. Their solution requires a broader range of theoretical data, and will facilitate a deeper understanding of the physics course.
In keeping with the existing curriculum, problem s in astronomy have also been included in the collection. Their solution requires the use of a star chart, which is printed on the flyleaf.
The book was translated from the Russian by Natalia Wadhwa and was published by Mir in 1989.
All credits to the Siddharth – the original uploader .
You can get the book here. and here
Posted in astronomy, books, mir publishers, physics, problem books
Tagged electrodynamics, mechanics, mir publishers, optics, physics, problems and solutions, thermodynamics
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