A Collection of Questions and Problems in Physics – Sena

Posted on September 11, 2012 by damitr 
I believe that if you have solved or studied the solution of a 
large number of problems, the basics of the physical method of 
thinking have become clearer.

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 course. All questions and problems have detailed answers and solutions. For this reason the two main sections of the book, Questions and Problems and Answers and Solutions, have identical headings and numbering: each chapter in the first section has a corresponding chapter in the second, and the numbering of answers corresponds to the numbering of problems.

A special feature of the Collection is the drawings and diagrams for most of the questions and answers. The diagrams use a variety of scales: linear, semilog, log-log, and quadratic.

Arrangement of the material in this Collection corresponds to the structure most commonly used in college physics textbooks. One exception is the questions and problems involving the special theory of relativity. These are placed in different chapters, starting from the one dealing with mechanics.

The book was translated from the Russian by Eugene Yankovsky and was first published by Mir Publishers in 1988.

PDF | OCR | Cover | Pagination | Bookmarked | 344 pp | 600 dpi | 23.8 MB (Zip 20.9)

Update 7 May 2018: The Internet Archive link

and here

 

For Magnet/Torrent Links go here. (Please share and seed.)

Update: The book is in print and available here. Price is INR 80.

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Problems in General Physics – Wolkenstein

Posted on September 11, 2012 by damitr 
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.

We now come to another book in the Problem Book series by Wolkenstein titled Problems in General Physics.

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 by a brief introduction describing the
fundamental laws and formulas which are used to solve the problems. The solutions to the problems and the reference data are appended at the end of the book.

The book was translated from the Russian by A. Troitsky and was edited by G. Leib. The book was first printed by Mir Publishers in 1971, and fourth reprint appeared in 1987. The link below is for the 1987 edition. Incidentally there is a Hindi translation of this book. I do not know if it was translated in other Indian languages.

PDF | OCR | Pagination | Cover | Bookmarked | 382 pp | 600 dpi | 27.4 MB (Zip 24.7)|

You can get the book here. and here

Update: 08 December 2015 | Added Internet Archive Link

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Problems in Physics – Zubov, Shalnov

Posted on September 10, 2012 by damitr

We now come to the much anticipated “Problem Books” series and start with Problems in Physics by V. Zubov and V. Shalnov. This will be a good material for those who are preparing for Olympiads and other competitive exams.

For the most part, this is a collection of modified problems
discussed in extracurricular circles and at tutorials and
Olympiads at the Moscow University.
In selecting and preparing the problems for this collection
the authors attempted to focus the attention of the reader
on those postulates and laws of physics where students make
the most mistakes. Some problems were specially selected
to explain comprehensively the application of the most
important laws – something which students often fail to
grasp properly. A number of problems concern the subjects
usually omitted in secondary school text-book problems.
Some problems are intended for discussion in extracurricular
circles or for independent study by those wishing to
acquaint themselves with material beyond the scope of the
school syllabus.
The most difficult problems and the problems outside
the scope of the secondary school syllabus are provided
with detailed explanations in order to give the student
a better understanding of the general principles of solution.
With this end in view, some sections are also supplemented
with brief information about the most frequent mistakes
and the simplest means of solution.

The book was translated from the Russian by A. N. Troitsky and the translation was edited
by J. B. Williams. Mir Publishers published this book first time in 1974 with a second reprint in 1985. The link below is for the second print.

PDF | OCR | Pagination | Bookmarked | 301 pp | 600 dpi | 19.3 MB (17.4 Zipped)

You can get the book here. and here

Update: 08 December 2015 | Added Internet Archive Link

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Little Mathematics Library – Taking Stock

Posted on September 6, 2012 by damitr

We take stock of what we have and what remains to be had in the Little Mathematics Library series. There is only 1 (updated 25 Oct 21) 4 5 (+ 1 in bad condition) titles remaining, they are marked in red, so if you have any of these please let us know.

Update: 11 May 2024, as of now all the books listed here are available!!

Or if you know of any book that is missing please let us know.

Of course anything like this would not have been possible if, there were not all others  who preceded us in goodwill and thought. These are people whom we don’t know and maybe won’t ever know, it is due to them that most of titles are with us.

Dedicated to Smiley and team. We all owe it to you!

Update: Thanks to Biju all the files can be found at one place (4shared), here.

Or a single link for all the files here. (52.3 MB)

Password for these files:

www.mirtitles.org

Algebraic Equations of Arbitrary Degrees – A. G. Kurosh

An Unusual Algebra – I. M. Yaglom (Have copy, to be scanned.)

Areas and Logarithms – A. I. Markushevich

Calculus of Rational Functions – G. E. Shilov

Complex Numbers and Conformal Mappings – A. I. Markushevich

Differentiation Explained – V. G. Boltyansky

Dividing A Line Segment in Given Ratio – N. M. Beskin

Elements of Game Theory – Ye. Venttsel

Fascinating Fractions – N. M. Beskin (Thanks to KS for link, we have it now)

Geometrical Constructions With Compasses Only – A. Kostovskii

(Thanks to Saugata for pointing this, we do have the PLM version, will soon release.)

Update: PLM version released, still need to get LML version. 

Link updated with LML version, thanks to 4evercla6 (26 October 2021)

Gödel’s Incompleteness Theorem – V. A. Uspensky

Images of Geometric Solids – N. M. Beskin

Induction in Geometry – L. I. Golovina, I. M. Yaglom

Inequalities – P. P. Korovkin

Lobachevskian Geometry – A. S. Smogorzhevsky

Method of Successive Approximations – N. Ya. Vilenkin

Pascal’s Triangle – V. A. Uspensky

Plotting Graphs – G. E. Shilov

Post’s Machine –  V. A. Uspensky

Proof In Geometry – A. I. Fetisov

Recursion Sequences – A. I. Markushevich

Remarkable Curves – A. I. Markushevich 

Solving Equation In Integers – A. O. Gelfond

Stereographic Projection – A. I. Markushevich, B. A. Rosenfeld, N. D. Sergeeva

Systems of Linear Equations – L. A. Skornyakov 

(Update 25 October 2021)

Systems of Linear Inequalities – A. S. Solodovnikov

The Euler Characteristic – Yu. A. Shaskin

(Update 11 May 2024, Thanks to Anonymous commentator on the blog, we have this last piece of the series)

The Fundamental Theorem of Arithmetic – L. A. Kaluzhnin

The Kinematical Method in Geometrical Problems – Yu. I. Lyubich, L. A. Shor

(Update 26 October 2021)

The Method of Coordinates – A. S. Smogorzhevsky

The Method of Mathematical Induction – I. S. Somisnky

The Monte Carlo Method – I. M. Sobol

The Shortest Lines – L. A. Lyusternik 

(Update 27 October 2021)

 

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Little Mathematics Library – Solving Equations In Integers

Posted on September 6, 2012 by damitr

In the Little Mathematics Library series we now come to Solving
 Equations In Integers by A. O.  Gelfond also sometimes written as
Gelfand.

The book is devoted to one of the most interesting branches of
number theory, the solution of equations in integers. The solution in integers of algebraic equations in more than one unknown with integral coefficients is a most difficult problem in the theory of numbers. The theoretical importance of equations with integral coefficients is quite great as they are closely connected with many problems of number theory. Moreover, these equations are sometimes encountered in physics and so they are also important in practice. The elements of the theory of equations with integral coefficients as presented in this book are suitable for broadening the mathematical outlook of high-school students and students of pedagogical institutes. Some of the main results in the theory of the solution of equations in integers have been given and proofs of the theorems involved are supplied when they are sufficiently simple.

The book was translated the Russian by O. B. Sheinin and was
first published by Mir in 1981.

PDF | Cover | Bookmarks | OCR | 3.2 MB | 60 pp | 600 dpi

You can get the book here. and here

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Little Mathematics Library – Systems of Linear Inequalities

Posted on September 6, 2012 by damitr

In the Little Mathematics Library series we now come to  Systems of
Linear Inequalities by A. S. Solodovnikov.

The book tells about the relation of systems of linear
inequalities to convex polyhedra, gives a description of the
set of all solutions of a system of linear inequalities,
analyses the questions of compatibility and
incompatibility; finally, it gives an insight into linear
programming as one of the topics in the theory of
systems of linear inequalities. The last section but one
gives a proof of duality theorem of lienar programming.
The book is intended for senior pupils and all amateur
mathematicians.

The book was translated the Russian by Vladimir Shokurov and was
first published by Mir in 1979.

PDF | Cover | Bookmarks | OCR | 7.3MB | 130 pp | 600 dpi

You can get the book here. and here

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Little Mathematics Library – The Method of Coordinates

Posted on September 6, 2012 by damitr 
The size and aim of the book has forced us to restrict ourselves 
to an account of the basic facts about the method of coordinates
and its simplest applications.

In the Little Mathematics Library series we now come to Method of
Coordinates by A. S. Smogorzhevsky.

The booklet deals with a fundamental method of analytical
geometry and its ability to describe geometrical figures
through equations. This method permits geometrical study
and solution of geometrical problems by algebraic means,
thus making a visual representation of complex spatial
configurations superfluous. Considerable attention has been
devoted to the question of representing geometrical figures
through equations, which is often difficult for those who
being to study the method of coordinates.
Detailed examples have been given to illustrate the
application of the method. The booklet is intended for senior school chidlren and all those interested in mathematics.

The book was translated the Russian by Ram S. Wadhwa and was
first published by Mir in 1980.

PDF | Cover | Bookmarks | OCR | 2.4 MB | 52 pp | 600 dpi

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Little Mathematics Library – Plotting Graphs

Posted on September 6, 2012 by damitr 
The graph of the sine, wave after wave,
Flows along the axis of abscissas...
(FROM STUDENT LORE)


In the Little Mathematics Library series we now come to Plotting
 Graphs by G. E. Shilov. We have already seen another book by Shilov,
namely, Calculus of Rational Functions. The section on graphs in that
book is similar to this booklet.

… we shall be dealing here with graphs of a different kind, with
graphs that must be plotted from given mathematical formulas. A need for such graphs often arises in various fields of knowledge. Thus, in analysing the theoretical course of some physical process, a scientist obtains a formula yielding some magnitude with which he is concerned, for example, the amount of product obtained relative to time. The graph plotted from this formula will provide a clear picture of the future process. Looking at it, the scientist may possibly introduce substantial changes into the scheme of his experiment in order to obtain better results.

In this booklet we shall consider some simple methods of plotting graphs from given formulas.

The book was translated the Russian by S. Sosinsky and was first published by Mir in 1978.

PDF | Cover | Bookmarks | OCR | 1.1 MB | 36 pp | 600 dpi

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Little Mathematics Library – Inequalities

Posted on September 6, 2012 by damitr

In the Little Mathematics Library series we now come to Inequalities by P. P. Korovkin.


In this booklet the author did not pursue the aim of presenting the  basic properties of inequalities and made an attempt only to
familiarize students of senior classes with some particularly
remarkable inequalities playing an important role in various sections of higher mathematics and with their use for finding the greatest and the least values of quantities and for calculating some limits.  The book contains 63 problems, 35 of which are provided with detailed solutions, composing thus its main subject, and 28 others are given in Sections 1.1 and 2.1, 2.3, 2.4 as exercises for individual training. At the end of the book the reader will find the solutions to the given exercises.

The book was translated the Russian by Sergei Vrubel and was  first published by Mir in 1975.

PDF | Cover | Bookmarks | OCR | 3.2 MB | 74 pp | 600 dpi

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Little Mathematics Library – The Fundamental Theorem of Arithmetic

Posted on September 6, 2012 by damitr

In the Little Mathematics Library series we now come to Fundamental Theorem of Arithmetic by L. A. Kaluzhnin.


In this booklet, Prof. Kaluzhnin deals with one of the fundamental propositions of arithmetic of rational whole numbers – the uniqueness of their expansion into prime  multipliers. Having established a conncetion between arithmetic and Gaussian numbers and the question of representing integers as sum of squares, Prof. Kaluzhnin has shown the uniqueness of expansion also holds in the arithmetic of complex (Gaussian) whole numbers.  The author hopes that the booklet will not only be of interest to senior schoolboys but will also be useful for teachers.

The book was translated the Russian by Ram S. Wadhwa and was
first published by Mir in 1979.

PDF | Cover | Bookmarks | OCR | 2.8 MB | 44 pp | 600 dpi

You can get the book here. and here

You can get the Magnet/Torrent links here.
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