Problems in Elementary Mathematics – Lidsky, Ovsyannikov, Tuliakov, Shabunin

Posted on February 2, 2013 by damitr

In this post we will see another problem book in mathematics titled Problems in Elementary Mathematics by V. Lidsky, L. Ovsyannikov, A. Tuliakov and M. Shabunin.

Lidsky_Ovsyannikov-Tuliakov_Shabunin-Problems-In-Elementary-Mathematics-Mir-Publishers

This book is written by a group of Soviet mathematicians under the guidance of Professor Victor Lidsky D.Sc. (Phys. & Maths). It includes advanced problems in elementary mathematics with hints and solutions.

In each section – algebra, geometry and trigonometry – the problems are arranged in the order of increasing difficulty. There are 658 problems in all.

The text can be used in mathematical schools and school mathematical societies.

This book was translated from the Russian by V. Vosolov and was first published by Mir Publishers in 1973.

All credits to the original uploader.

A note on the quality of the book: When the book was picked up from the net, it needed cleaning. We did some cleaning, OCR and bookmarking.

PDF | OCR | Cover | Bookmarked | 25.5 MB (20.5 MB Zipped) | 382 pages | Paginated

Update: 27 April 2018

The Internet Archive link

and here

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Problems in Higher Algebra – Faddeev, Sominsky

Posted on February 1, 2013 by desperadomar

In this post we will see Problems in Higher Algebra – Faddeev, Sominsky  

This book of problems in higher algebra grew out of a course
of instruction at the Leningrad State University and the Herzen
Pedagogical Institute. It is designed for students of universities
and teacher’s colleges as a problem book in higher algebra.

The problems included here are of two radically different types. On
the one hand, there are a large number of numerical examples aimed at developing computational skills and illustrating the basic propositions of the theory. The authors believe that the number of
problems is sufficient to cover work in class, at home and for tests.

On the other hand, there are a rather large number of problems
of medium difficulty and many which will demand all the initiative and ingenuity of the student. Many of the problems of
this category are accompanied by hints and suggestions to be
found in Part II. These problems are starred.

Answers are given to all problems, some of the problems are
supplied with detailed solutions.

This book was translated from the Russian by George Yankovsky. The  book was published by first Mir Publishers in 1978.

Update 27 January 2026

New, clean scan added

You can get the book here and here

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Problems and Exercises in the Calculus of Variations – Krasnov, Makarenko, Kiselev

Posted on February 1, 2013 by desperadomar

In this post we will see Problems and Exercises in the Calculus of
Variations by M. L. Krasnov, G. I. Makarenko, A. I. Kiselev .

The calculus of variations is one of the most important divisions of
classical mathematical analysis as regards applications.The authors’
aim was to supply the reader with a certain minimum of problems
covering the basic divisions of the classical calculus of variations,
and they deliberately avoided questions pertaining to the theory of
optimal control.

This book was translated from the Russian by George Yankovsky. The book was published by first Mir Publishers in 1975.

Update 11 September 2025

New, clean hi-res scan added

You can get the book here and here

 

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Gantmacher – Lectures in Analytical Mechanics

Posted on February 1, 2013 by damitr

We now come to Lectures on Analytical Mechanics by F. Gantmacher.

The course of analytical mechanics is a foundation supporting such   divisions of theoretical physics as quantum mechanics, the special   and general theories of relativity, and so forth. For this reason, a   detailed presentation is given of variational principles and the   integral invariants of mechanics, canonical transformations, the   Hamilton-Jacobi equation, and systems with cyclic (ignorable)   coordinates (Chapters 2, 3, 4 and 7). Following the ideas of Poincare   and Cartan, the author takes the integral invariants of mechanics as   the basis of presentation. Here they do not represent an   embellishment of the theory but its actual workaday machinery. The   technical applications are associated with a consideration of   constrained systems, which are studied in detail inChapter 1. In a   special section of that chapter, which is devoted to   electromechanical analogies, the possibility is investigated of   extending the analytical methods of mechanics to electrical and   electromechanical systems. In Chapters 5 and 6 are given   applications of analytical mechanics to Lyapunov’s theory of   stability and the theory of oscillations. Elements of modern   frequency methods are given along with the classical problems in the   theory of linear oscillations. Problems in the dynamics of rigid   bodies are taken up in individual examples.

Whom this text is for and what are the prerequisites?

It is assumed the reader is acquainted with the general fundamentals
of theoretical mechanics and higher mathematics. The text is
designed for undergraduate and graduate students of
mechanico-mathematical, physical and physical-engineering
departments of universities, and also for research engineers and
other specialists who feel a need to extend and deepen their
knowledge in the field of mechanics.

This book was translated from the Russian by George Yankovsky and
was first published by Mir Publishers in 1975.

All credits to the original uploader.

Update 18 September 2024

New link added

Get the book here and here

Get the book here.

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Bugrov, Nikolsky – Fundamentals of Linear Algebra and Analytical Geometry

Posted on February 1, 2013 by damitr

 

We now come to Fundamentals Of Linear Algebra And Analytical
Geometry by Ya. S. Bugrov, S. M. Nikolsky.

The present book is the first part of our three-part textbook
Higher-Mathematics. We deal here with the fundamentals of the theory of deteminants, the elements of theory of matrices, the theory of systems of linear equations, and vector algebra. The book is also intended to introduce its readers to the basic aspects of linear algebra: linear operators, orthogonal transformations, self-adjoint operators, the quadratic forms and reducing it to the canonical form. Elements of analytical geometry (the straight line, the plane, the straight line in space, and second order curves and surfaces)are also included.

This book was translated from the Russian by Leonid Levant and was first published by Mir Publishers in 1982.

You can get the book here. and here


Edit: 26 June 2023 Link updated to IA
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Gusev, Litvinenko, Mordkovich – Solving Problems in Geometry

Posted on February 1, 2013 by desperadomar

In this post, we will see the book  Solving Problems in Geometry by
V. Gusev, V. Litvinenko, A. Mordkovich.

Gusev-Litivinenko-Mordkovich-Solving-Problems-In-Geometry-Mir-1988-fc copy.png

This book is intended for students at pedagogical (teacher training) institutes majoring in mathematics or in mathematics and physics. It has been written in correspondence with the current syllabus “Solving Problems”.

When preparing the text, we wanted to represent the main types of
problems in geometry found at school. The book contains about 1000
problems that should be solved independently. Alongside rather simple problems, there are problems whose solution requires profound meditation and sometimes even a non standard approach. The solution of most of the problems in this book will help the student form the professional habits important for a future teacher of mathematics, that is, to know how to solve the geometrical problems covered by the mathematics syllabus for high schools and vocational schools.

This book was translated from the Russian by Leonid Levant. The book was published by first by Mir in 1988.

PDF | Bookmarked | Cover

Update 12 Oct 2018: Added links to a new scan

The Internet Archive Link

and here
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Ivchenko, Medvedev, Chistyakov – Problems in Mathematical Statistics

Posted on January 22, 2013 by desperadomar

In this post we will see Problems in Mathematical Statistics by
G. I. Ivchenko, Yu. I. Medvedev and A. V. Chistyakov

Screenshot

This problem book covers all the traditional topics in modern statistical theory and is designed for students at technical colleges and universities who have mathematical statistics as an obligatory course.  The problems are mostly analytical. The student is asked to prove the validity or an assertion or carry out an investigation. This will help him grasp the main aspects of mathematical statistics. Some of the problems are more difficult and can be used as individual assignments for course papers. We have included problems on computer simulation of random variables in order to obtain the data for statistical interpretation. Any “theoretical” problem which contains a statistical algorithm for data analysis can be used (with the appropriate (practically infinite) choice of the model parameters ) to formulate a “practical” problem. At the first stage the original data should be simulated using either published tables of random numbers or special computer programs. Then, by interpreting these “experimental” results according to the algorithm in question, the student can compare the theoretical hypothesis with the original parameters which are known as they were used when the sample was simulated.  All the problems differ in complexity. More difficult problems are marked with an asterisk and may require a significant effort on the part of the reader. Problems that cannot be reduced to standard algorithms are answered in detail or hints are given.

Each chapter contains the basic notions, assertions, and formulas from the respective theoretical section. The statistical tables at the end of the book will help the reader obtain numerical results. The list of distributions will help him choose problems on different aspects of the same model.

This book was translated from the Russian by Elena Troshneva. The   book was published by first Mir Publishers in 1991.This makes it one of the last books to see the light of publication  under Mir.


 All credits to the original uploader.

Get the book here and  here

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Krasnov Aerodynamics 1

Posted on January 22, 2013 by desperadomar

In this post we will see Aerodynamics 1 : Fundamentals of
Theory.

The present textbook, in addition to the general laws of flow of a fluid, treats the application of aerodynamics, chiefly in rocketry and modern hi-speed aviation. The book consists of two parts, each forming a separate volume.  The first of them concerns the fundamental concepts and definitions of aerodynamics and the theory of flow over an airfoil and a wing, including an unsteady  flow (Chapters 1-9), while the second describes the aerodynamic design of craft and their individual parts (Chapters 10-15). The two parts are designed for use in a two semester course of aerodynamics, although the first part can be used  independently by those interested in
individual problems of theoretical aerodynamics.

This book was translated from the Russian by G. Leib. The
book was published by first Mir Publishers in 1985.

All credits to the original uploader.

Update 29 June 2025 New clean scans added

You can get them here and here

Aerodynamics of an Airfoil and a Wing by N. F. Krasnov. Volume 2 posted here.

PDF| 9.9 MB | Pages: 513 | OCR

Update 7 May 2018: The Internet Archive link

and here

You can get the book here
For magnet / torrent links go here.
Password if needed: mirtitles

4-shared link here

Password, if required, for 4shared files:

www.mirtitles.org

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Combinatorial Mathematics – Vilenkin

Posted on January 1, 2013 by desperadomar

In this post we will see Combinatorial Mathematics by N. Vilenkin.

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In the present book, the aim has been to set forth a variety of combinatorial problems in popular form and understandable language. At the same time, an attempt is made to present some rather involved combinatorial problems and to give the reader an idea of the methods of recurrence relations and generating functions.  The first chapter is devoted to the general rules of combinatorics, the rules of sum and product. In the second chapter we investigate permutations and combinations. This traditionally grade-school material is accompanied by an analysis of some amusing examples. In the third chapter, a study is made of combinatorial problems in which certain restrictions are imposed on the combinations. Chapter IV considers problems involving partitions of numbers into integers and- contains a description of certain geometrical methods in combinatorics. Chapter V is devoted to random-walk problems and to a variety of modifications of the arithmetic triangle. Chapter VI takes up recurrence relations, and Chapter VII discusses generating functions and, in particular, the binomial formula. The last section of the book is devoted to combinatorial problems of which there are over 400.  This material has been taken from a variety of sources, including Whitworth’s Choice and Chance (London, 1901), John Riordan’s An Introduction to Combinatorial Analysis (New York, 1958), an interesting book by A. M. Yaglom and I. M. Yaglom entitled Nonelementary Problems in an Elementary Exposition (Moscow, 1954), and various collections of problems given at mathematical Olympiads in the USSR.

This book was translated from the Russian by George Yankovsky. The   book was published by first Mir Publishers in 1972.

All credits to the original uploader.

Thanks for Test1  for providing this link

DJVU | 3.8 MB | Pages: 205 | OCR

You can get the book here. and here
For magnet / torrent links go here.

Update: 11 December 2015 | Added Internet Archive Link

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Nikolsky A Course of Mathematical Analysis Vol. 2

Posted on January 1, 2013 by desperadomar

In this post we will see the second part of Course in Mathematical
Analysis 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 offundamental notions of
mathematical analysis using an intuitive concept ofa limit. With
the aid of visual interpretation and some considerations of a
physical character it establishes the relationship between the
derivative and the integral and gives some elements of differentiation
and integration techniques necessary to those readers
who are simultaneously studying physics.

The notion of a real number is interpreted in the first volume
(Chapter 2) on the basis of its representation as an infinite decimal.
Chapters 3-11 contain the following topics: Limit of Sequence,
Limit of Function, Functions of One Variable, Functions
of Several Variables, Indefinite Integral, Definite Integral,
Some Applications of Integrals, Series.

This book was translated from the Russian by V. M. Volosov. The
book was published by first Mir Publishers in 1977 with reprints in
1981, 1985 and 1987. The copy below is from the 1987 print.

All credits to the original uploader.

Update 18 December 2021: New post with new links to both volumes here.

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