Books

The textbook is based on the lecture notes of Academician of the Russian Academy of Sciences O.B.Lupanov on the course "Introduction to Mathematical Logic", read by him in the first year of the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University in 1982-2006. The manual covers the following issues: functions of logic algebra, functions of multivalued logic, propositional calculus, logic and predicate calculus, logical networks, finite automata, algorithms and computable functions.

For undergraduate and graduate students.

The textbook of outstanding Russian psychologists Professor M. A. Gulina and academician Yu. P. Zinchenko contains information on key issues of methodology, theory and modern practice of psychological counseling.

The publication is intended for students studying in the enlarged groups of specialties and areas of training "Psychological sciences", "Education and Pedagogical Sciences", "Social sphere", as well as for teachers of psychology faculties of higher educational institutions and consulting practitioners.

The gymnasium was created at the same time with the Moscow University. It could not have happened otherwise, because a university without a gymnasium at the beginning of its activity would be, as M.B. Lomonosov called it, ‘like a seedless arable land’. The brochure of Professor Petr Illarionovich Strakhov (1792 — 1856) was published in the present form for the 100th anniversary of the first Russian university. We reproduce the 1855 edition, as one of the interesting monuments of the history of Russian education and science.

The tutorial contains main trends in invertebrate paleontology: systematic, evolution, taxonomy, nomenclature, mode of life and conditions of existence, taphonomy, stratigraphic and rockforming significance. The systematic part gives characteristics of the most important geology groups. The definition of taxa is accompanied by comparison charts and keys. Descriptions are illustrated by pictures and 34 paleontological tables. There is also a dictionary of terms and generic names. The tutorial is intended for students of geological departments of universities and natural-science institutes. It can be used in educational process in paleontological and geological schools as well as by everyone interested in paleontology.

Books in the ‘Rereading the Classics’ series give a modern analysis of the works that form part of school literature curricula. This is the first attempt to provide a detailed insight into the spiritual, moral and religious aspects of the art of 19th and 20th century Russian writers. The series is offered as the basis of modern knowledge about Russian literature, which is necessary for high school students to pass school-leaving examinations and to gain admission to any institution of higher learning. This book is the first monographic study of the famous modern prose writer and publicist's works. The fact that Georgi Vladimov is a ‘living classic’ is not contested by anybody. But what book sparkled this belief? Some will say it was the ‘The General and His Army’ — the best Russian novel that received the Booker Prize in 1995. Others will remember ‘Three Minutes of Silence’ — the last book before the author was forced into silence and exile. Some will say that it was ‘Faithful Ruslan’, because it made the author leave the ranks of Soviet writers, and in the end the USSR as well. Many, however, felt his first novel, ‘The Great Ore,’ already conveyed the mastership of the writer.

For school, lyceums and gymnasium teachers, high school and college students, university entrants, philology specialists.

Criminal and Financial Threats to the Implementation of Socio-Economic Reforms and Projects in Russia

The textbook includes the main sections of the general physics course taught to students of the Chemical Faculty of Moscow University: "Mechanics", "Electricity", "Vibrations and Waves", "Optics". When presenting the material, the authors distinguish definitions of physical concepts and formulations of laws. The sections "Vibrations and Waves" and "Optics" consistently implement a unified approach to mechanical and electromagnetic oscillatory and wave processes. At the same time, special attention is paid to issues of greatest interest to future chemists, in particular molecular vibrations, optical phenomena used in modern experimental research methods (refractometry, spectroscopy, polarization techniques, etc.).

The publication is intended for students of chemical faculties of universities, and can also be useful for a wide range of students of physical and chemical specialties of universities of natural science profile.

The first book of the new four-book textbook (more than 3,400 problems with solutions in total) includes about 1,000 tasks and is devoted to working out the main directions of research on the topics: "Identities, inequalities and their application in mathematical analysis", "Real numbers and their purpose", "Numerical sequences", "Limit and limitation of functions of a real installation".

The book uses basic theoretical information, the main emphasis is on the systematization of techniques and methods for solving problems. Presentation of methods accompanied by analysis of examples and tasks of different types for independent solution.

For undergraduate students of universities studying in mathematical and engineering-technological specialties, and young teachers.

The second book of the new manual-problem of four books (more than 3,400 problems with solutions in total) includes more than 800 problems and is devoted to developing the skills of the main types of research on the topic "Functions of one real variable: differential calculus, indefinite integral."

The book provides the necessary theoretical information, the main focus is on systematization of techniques and methods for solving problems. The presentation of the methods is accompanied analysis of examples and tasks for independent solution.

For junior university students studying in mathematics and engineering and technology, and young teachers.

The third book of the new manual-problem of four books (more than 3400 tasks with solutions) includes more than 800 tasks and is dedicated to working out skills of the main types of research on the topic "Functions of one real variable: research and plotting, a certain integral and its applications.

The book provides the necessary theoretical information, the main emphasis is on the systematization of techniques and methods for solving problems. The presentation of methods is accompanied by an analysis of examples and tasks of various types for independent decision.

For junior university students studying in mathematics and engineering and technology, and young teachers.

The fourth and final book of the new four-book problem book (more than 3,400 problems with solutions in total) includes more than 700 problems and is devoted to developing the skills of the main types of research on the topic "Differential calculus of functions of several real variables".

The book provides the necessary theoretical information, the main emphasis is on the systematization of techniques and methods for solving problems. The presentation of methods is accompanied by an analysis of examples and tasks for independent solution.

For junior university students studying in mathematics and engineering and technology, and young teachers.

The textbook is an expanded presentation of the course of lectures that the author has given in recent years to 3rd-year students of the Mechanics and Mathematics Faculty of Moscow University, and contains the main classical and modern sections of the theory of partial differential equations, as well as information from functional analysis, the theory of generalized functions and function spaces. In addition, it includes material devoted to the proof of Kovalevskaya's theorem, a mixed problem for the equation of oscillations of an inhomogeneous string, the Cauchy problem for the wave equation and the theory of symmetric hyperbolic systems. The book presents the main facts related to the Laplace equation, the heat equation and the wave equation.

The textbook is intended for students studying in the fields of "Mathematics", "Applied Mathematics", "Mathematics and Computer Science", "Fundamental Mathematics and Mechanics".

The textbook, the first edition of which was published in 1984, aims to provide the most concise introduction to the subject, including both its physical foundations and differential-geometric aspects. The publication covers a number of topics in an unconventional way: kinematics, general theorems of dynamics, derivation of the Lagrange equations, the Hamilton-Jacobi equation. Some of the material goes beyond the university course: elements of the theory of linear and quadratic integrals in velocities, application of variational principles, a new proof of the Darboux theorem on canonical coordinates. The textbook includes problems illustrating and supplementing the theoretical material, and provides methodological instructions for them.

The publication is intended for students of higher educational institutions studying in the fields of "Mechanics and Mathematical Modeling", "Applied Mathematics", "Fundamental Mathematics and Mechanics", for postgraduate students of the mechanical, mathematical and physical faculties of universities, and for university teachers.

The textbook contains lectures on the entire development of soil science from the time of ancient agricultural civilizations to the present day. It examines the history of knowledge about soils and methods of studying them, adding details of the general history of science and society. It shows the connection of pedology with related natural and human sciences, with the history of studying and developing land resources. The book pays particular attention to the methodology of soil science as a natural history science and to the roles of outstanding scientists. It analyzes the formation and development of soil science in different countries, international cooperation of pedologists and the role of scientific societies in the history of soil science. The concluding chapters cover the present period of soil science development, its tasks in overcoming the anthropogenic degradation of the soil mantle of the Earth, which is an indispensable component of the biosphere and the most important natural resource for the further development of human civilization.

For college and graduate students specializing in soil science, agronomy, agrochemistry, ecology and other related sciences.

The cycle of lectures by Professor Vladislav Alekseyevich Zaytsev is based on many years of experience in reading special courses on Russian poetry, as well as the general course on the history of Russian literature of the second half of the 20th century. The author reveals the diverse artistic values, essential features and peculiarities of Russian poetry of this period, shows the complex interaction of its main branches, their rapprochement and reunion at the end of the century.

For students and postgraduates of philological faculties, as well as for all who are interested in the history of Russian literature.

The textbook, the first edition of which was published in 1984, aims to provide the most concise introduction to the subject, including both its physical foundations and differential-geometric aspects. The publication covers a number of topics in an unconventional way: kinematics, general theorems of dynamics, derivation of the Lagrange equations, the Hamilton-Jacobi equation. Some of the material goes beyond the university course: elements of the theory of linear and quadratic integrals in velocities, application of variational principles, a new proof of the Darboux theorem on canonical coordinates. The textbook includes problems illustrating and supplementing the theoretical material, and provides methodological instructions for them.

The publication is intended for students of higher educational institutions studying in the fields of "Mechanics and Mathematical Modeling", "Applied Mathematics", "Fundamental Mathematics and Mechanics", for postgraduate students of the mechanical, mathematical and physical faculties of universities, and for university teachers.

The manual contains a systematic statement of four important sections of the general course of the mathematical analysis: the theory of numerical series, the theory of functional sequences and series, the theory of series of Fourier and the main data on Fourier’s integral. The statement is most approached to a lecture course.

The book is intended for bachelors which profoundly study mathematics.

Keywords: a series, sequence, convergence, uniform convergence, operations with convergent series, summation of divergent series, double and repeated series, infi nite products, power series, Fourier’s series on orthonormalized systems, Fourier’s trigonometrical series, Fourier’s integral

The book covers little-known phenomena of Leonardo da Vinci's work - his work in the field of scenography, musical practice, and research into the psychological foundations of visual activity. The leading theme of the book is a historical-semiotic study of the principles of creating iconic ensembles introduced into art by the Italian artistic tradition and, to a decisive extent, by the great master Leonardo da Vinci. The research is based on the methodology of comprehensive historical analysis of textual and iconographic material, fragments and drawings from Leonardo’s notebooks (codes). Illustrations are based on open sources and photographs of the author. Drawings from Leonardo's codices are based on digitized manuscripts available in the public domain.

The publication is addressed to students, graduate students and art experts, as well as to a wide range of readers interested in theory and history of art, artistic culture of Renaissance Italy.