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Category Archives: mathematics
Lectures in Geometry – Semester 1 Analytic Geometry – Postnikov
In this post, we will see the book Lectures in Geometry – Semester 1 Analytic Geometry by M. Postnikov. This book is the first one of a five part Lectures in Geometry series. So far we have volumes 1, 2 … Continue reading
Posted in books, mathematics, mir books, mir publishers, soviet
Tagged affine transformations, analytic, analytic geometry, bivectors, Cauchy-Buniakowski inequality, collinear, conic sections, coplanar, desargues theorem, duality principle, ellipsoids, Fano theorem, geometry, isomorphisms, linear dependence, linear fractional transformations, mathematics, metric coefficients, metric forms, mir publishers, parametric equations, space, triangle inequality, trivectors, vectors
1 Comment
Random Processes In Electrical And Mechanical Systems – Lebedev
In this post, we will see the book Random Processes In Electrical And Mechanical Systems by V. L. Lebedev. About the book This book deals with stationary and non-stationary random processes in linear systems and in inertialess nonlinear systems which … Continue reading
Posted in books, electronics, engineering, mathematics, physics, soviet, technology
Tagged brownian motion, Derivatives, detectors, electrical systems, engineering, filters, inertial nonlinear systems, inertialess nonlinear system, linear systems, mechanical systems, moments, noise, non-linear problems, physics, properties, random force, random functions, random processes, soviet, spectral method, statistical properties, theory, thermal noise, transformations, voltage noise
1 Comment
The Shortest Lines (Little Mathematics Library) – Lyusternik
In this post, we will see another book from the Little Mathematics Library titled The Shortest Lines Variational Problems by Lyusternik. About the book A pamphlet based on lectures read by the author to Moscow University’s schools mathematics club. Deals … Continue reading
Posted in books, little mathematics library, mathematics, mir books, mir publishers, soviet
Tagged catenary, cone, corollaries, cylinder, fermat's principle, geodesics, high school mathematics, isoperimetric problems, little mathematics library, maxima, minima, minimal surface of revolution, mir books, mir publishers, normals, planes, polyhedra, potential energy, refraction curve, relation between mechanics and optics, soviet, space curves, sphere, surfaces, tangents, Variational Problems
6 Comments
Geometrical Constructions With Compasses Only (Little Mathematics Library) – Kostovskii
In this post, we will see the book from the series Little Mathematics Library titled Geometrical Constructions With Compasses Only by A. Kostovskii. About the book This booklet is intended for a wide circle of readers. It should help teachers … Continue reading
Posted in books, little mathematics library, mathematics, mir books, mir publishers, soviet
Tagged compasses, constraints, constructions, geometry, high school, inversions, mathematics, theorems
4 Comments
Systems of Linear Equations (Little Mathematics Library) – Skornyakov
In this post, we will see the book from the series Little Mathematics Library titled Systems of Linear Equations by L. A. Skornyakov. About the book The book contains a complete exposition of the theory of systems of linear equations … Continue reading
Geometry – Shuvalova
In this post, we will see the book Geometry by E. Z. Shuvalova. About the book The book provides a comprehensive treatment of basic geometrical concepts for high schools. The first chapter deals with properties of triangles. Chapter 2 gives … Continue reading
Posted in books, mathematics, mir books, mir publishers
Tagged areas, basis, cones, conic sections, cylinder, euler theorem, geometry, high school, mathematics, mir publishers, mirbooks, parallel lines, parallelism, polyhedra, projections, solid geometry, space vectors, sphere, transformations, triangles, volumes
1 Comment
Computational Mathematics – Danilina, Dubrovskaya, Kvasha, Smirnov
In this post, we will see the book Computational Mathematics by N. I. Danilina; N. S. Dubrovskaya; O. P. Kvasha; G. L. Smirnov. About the book The rapid development of computer engineering in recent times has led to ail expansion … Continue reading
Posted in books, mathematics, mir books, mir publishers, science, technology
Tagged adam's extrapolation method, approximate methods, approximate solutions, boundary value problems, Characteristic Polynomial, Cholesky's Method, computational methods, Danilevsky's Method, difference scheme, Eigenvalues and Eigenvectors of a Matrix, elementary functions, euler's method, extrapolation, Gauss Elimination Method, Horner's Method, interpolation, iterative methods, Krylov's Method, Leverrier-Faddeev Method, linear vector spaces, matrix algebra, method of finite differences, Methods of Solving Nonlinear Equations, milne's method, Newton's Method of Approximation, Newton-Cotes Quadrature Formulas, Numerical Differentiation and Integration, numerical methods, ordinary diff, ordinary differential equations, partial differential equations, picard's method, power series, quadrature formula, runge-kutta method, solutions, systems of linear equations, Theory of Errors
1 Comment
Mathematical Analysis for Engineers – Krasnov, Kiselev, Makarenko, Shikin
In this post, we will see the two volume set of books titled Mathematical Analysis For Engineers Volumes 1 & 2 by M. Krasnov, A. Kiselev, G. Makarenko, E. Shikin . About the book This two-volume book was written for … Continue reading
Posted in books, engineering, mathematics, mir books, mir publishers
Tagged analysis, anlytic geometry, complex variables, curves of second order, definite integral, determinants, differential calculus, double integrals, elliptic equations, engineering mathematics, fourier series, fourier transform, functional series, hyperbolic equations, improper integrals, indefinite integral, integral calculus, integral transforms, line integrals, linear operators, linear spaces, lines, matrices, mir publishers, multiple integrals, number series, ordinary differential equations, parabolic equations, partial differential equations, stability theory, surfaces of second order, Systems of Differential Equations, systems of linear equations, vector algebra
9 Comments
Theory of Shock Waves and Introduction to Gas Dynamics – Zeldovich
In this post, we will see the book Theory of Shock Waves and Introduction to Gas Dynamics Ya. B. Zeldovich. About the book Gas dynamics is defined as the science of motion at great pressure differentials and high velocities, velocity … Continue reading
Posted in books, mathematics, physics, soviet
Tagged acoustics, destruction, formation, gas dynamics, gas flow, graphical methods, history, hugoniot's curve, jet propulsion, physics, propagation, shock waves, soviet, strcuture, supersonic flow, waves
4 Comments
Complex Numbers in Geometry – Yaglom
In this post, we will see the book Complex Numbers in Geometry by I. M. Yaglom. About the book This book is intended for pupils in the top classes in high schools and for students in mathematics departments of universities … Continue reading
Posted in books, mathematics, soviet
Tagged circular geometry, circular trasformation, complex numbers, Double Numbers, Dual Numbers, Geometrical Interpretation of Complex Numbers, geometry, Hypercomplex Numbers, Laguerre Transformations, lobachevskian, Lobachevskii Plane, mathematics, Mobius Transformations, non-euclidean, soviet
1 Comment