Books

The book presents modern fast direct and iterative methods for solving systems of linear algebraic equations with a large number of unknowns and sparse ill-conditioned matrices. Such systems arise in the grid method for solving boundary and initial-boundary value problems for partial differential equations. The main part of the book is devoted to the construction, justification and algorithmic implementation of methods, as well as the construction of various types of preconditioners, the use of which allows to increase the efficiency of iterative methods. At the end of each chapter, information is provided that complements its content and allows the reader to navigate through a structured list of cited publications. The book contains three appendices, one of which is a summary of information from linear algebra used in various chapters. The book includes a large number of algorithms implementing these methods, and a detailed subject index.

The book will be useful to specialists who use existing effective grid methods to solve differential equations, and to researchers engaged in the development of new methods. It will be useful for university students and postgraduates specializing in numerical methods and applied mathematics.

Keywords: direct methods, iterative methods, convergence, preconditioning, grid equations, systems of linear equations, sparse matrices

The manual is based on a course of lectures on mechanics and electricity, which are read to first-year students of Chemistry at Lomonosov Moscow State University.

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.

The manual deals with N.A. Zabolotsky’s intense moral and spiritual quest, the unique nature of his aesthetic concept, his formulation and solution of universal human questions of life and death, truth and beauty, good and evil. Much attention is paid to the process of the poet’s formation of his philosophical world outlook, his encounter with science and K.E. Tsiolkovsky’s ideas. Noting the innovative nature of Zabolotsky's poetry, the author traces its connection with the tradition of 18th and 19th century Russian philosophical lyrics and recreates the mental attitude of the artist whose influence is strongly felt in the 20th century.

For teachers of schools, lyceums and gymnasiums, students, senior pupils, entrants and philologists.

The subject matter of this book is the main historical and cultural monuments of ancient Greek pre-literate and written periods; mythology is compared with archeology and is also seen as a historical monument; the book traces the evolution of culture from the depths of savagery to the heights of the intellect.

The book is intended for a wide range of readers, but contains material that may also be of interest to specialists.

The book outlines the statistics of Gaussian, i.e., normally distributed, random variables which is the most developed to date. The core of the book is the general theory of multidimensional linear models, represented geometrically. It examines as one single whole their specific forms (dispersion analysis, regression analysis) which used to be studied separately. The mathematical apparatus is based on the modules over rings of square matrices endowed with matrix-valued scalar multiplication. For multidimensional data, this structure replaces vector algebra. The correlation theory is expounded based on linear models and the new concept of matrix correlation, The reader is expected to have a good knowledge of mathematical analysis, linear algebra and the basics of probability theory and mathematical statistics.

The book may be useful to anyone who is interested in mathematical statistics, especially, to students and graduate students of mathematical and economic faculties.

The book can form the basis of a one-term lecture course.

The book contains about a thousand tasks that can be used in the study of algebra in both regular and specialized physics and mathematics classes and in preparation for the Unified State Exam and other exams and mathematical Olympiads up to the highest level. It can serve as an addition to the well-known problem books used in secondary and higher school.

It contains collections of problems on the main topics studied at school: algebraic and trigonometric equations and systems, solving algebraic and trigonometric inequalities, proving inequalities, complex numbers. The issues that go beyond the scope of the school curriculum, but accessible to the understanding of schoolchildren, are considered. The necessary theoretical information is presented in the form of task cycles.

The book contains both easy and difficult problems that were offered at mathematical Olympiads at one time or contain non-trivial facts from theory that go beyond the scope of the program. Some tasks are left without instructions and solutions, teachers can use them for training exams and Olympiads.

The book is of interest to both schoolchildren and students, teachers and all lovers of mathematics.

The monograph examines global processes in inanimate nature, the organic world and social life from the perspective of nonlinear dynamics. It discusses the modern picture of the world and the place nonlinear science occupies in it, classifies global processes and characterizes models of global evolution processes of the Earth, life and society as well as the world economy and politics.

For a wide range of specialists in the field of Earth sciences, life, society and global process modeling.

The book will also be useful to graduate students and university students whose future profession is related to global studies and mathematical modeling of processes of a different nature as well as to all those who are interested in global research.

The book presents a mechanism for modernizing public administration, which includes priority goals of national economic and social development in its political agenda. It shows the role of such mechanisms as the political market, lobbyism and accountability. Much attention is paid to the institutional design of reforms. The author presents factors that determine both the success and failure of institutional construction in public administration.

The book will be of interest to specialists in the field of public administration, students of management, economics and political science and all those who are interested in the problems of political development.

The author talks with Russian scientists about the origins of our problems and modernization prospects and about ways to involve young people in building ‘a knowledge economy’. His essays introduce readers to the unique scientific centers of the past and today many of which still operate under cover of strict secrecy. Among the heroes of the book are Nobel laureates and ‘fringe scholars’, 18th century inventors who did not get any recognition and ordinary residents of restricted-access cities.

The book (the first and second editions were published by the Higher School Publishing House in 1996 and 2002, respectively) completes the line of textbooks on ‘Molecular Biology’ (‘Molecular Biology: The Structure of the Ribosome and the Protein Biosynthesis’- 1986, ‘Molecular Biology. Structure and Biosynthesis of Nucleic Acids’ - 1989). It examines major elements of protein structure and functioning, all levels of structure organization of these biopolymers and discusses the specifics of functioning of the most important protein types – transport and fibrillar enzymes. The book briefly considers the properties of amino acids and peptides, post-translational modification reactions.

The textbook summarizes major modern techniques and methods of working with carriers of microorganisms’ genetic information – DNA and RNA molecules that are isolated from experimental samples in biochemical, molecular biological, genetic engineering and environmental studies in microbiology.

This is the first textbook to present generalized materials on molecular methods of working with mixed cultures of microorganisms and techniques for analyzing microbial communities.

It is intended for students studying in biological specialties, postgraduate students, teachers and researchers who are interested in molecular biology and genetic engineering methods and their application in the study of physiology and ecology of microorganisms.

The manual is the description of morphological structure of modern Russian language from the standpoint of common conceptual basis. Objective is to improve the benefits and systematization of knowledge of students in accordance with the program of course MSU «Modern Russian. Morphology». Theoretical course accom­pany exercises, using materials of literature, the media and complete the final test papers.

The manual is intended for students, postgraduate students, teachers of Rus­sian, as well as the editors of media texts.

Based on lecture and seminar materials, the manual presents the historical period of the 19th – 20th century development of Russian medicine illustrating it with the examples of Moscow hospitals. It speaks in detail about the history of six major Moscow clinics, which were named in honor of great Russian physicians, graduates of the medical faculty of Moscow University. At the end of each chapter it gives some background information about the scientists (N.V. Sklifosovsky, N.I. Pirogov, A.A. Ostroumov, S.P. Botkin, G.A. Zakharyin, E.M. Tareev).

The book tells a story about the involvement of MSU-related scientists and specialists – its graduates, teachers and staff members – in creating Soviet nuclear weapons and our country’s nuclear industry. It contains many previously classified materials and fills in the blank pages in the history of Moscow University.

In this six-volume work, Daisaku Ikeda, a Buddhist philosopher and president of the lay Buddhist organization Soka Gakkai International (SGI), examines and expands on the Lotus Sutra, a highly valued sutra in the Mahayana tradition.

Together with representatives of the Soka Gakkai Study Department, he shares observations and insights on each of the Lotus Sutra’s twenty-eight chapters as interpreted by the 13th century Japanese Buddhist teacher Nichiren and the Sutra’s capacity to empower contemporary society.

In this six-volume work, Daisaku Ikeda, a Buddhist philosopher and president of the lay Buddhist organization Soka Gakkai International (SGI), examines and expands on the Lotus Sutra, a highly valued sutra in the Mahayana tradition. Together with representatives of the Soka Gakkai Study Department, he shares observations and insights on each of the Lotus Sutra’s twenty-eight chapters as interpreted by the 13th century Japanese Buddhist teacher Nichiren and the Sutra’s capacity to empower contemporary society.

In this six-volume work, Daisaku Ikeda, a Buddhist philosopher and president of the lay Buddhist organization Soka Gakkai International (SGI), examines and expands on the Lotus Sutra, a highly valued sutra in the Mahayana tradition. Together with representatives of the Soka Gakkai Study Department, he shares observations and insights on each of the Lotus Sutra’s twenty-eight chapters as interpreted by the 13th century Japanese Buddhist teacher Nichiren and the Sutra’s capacity to empower contemporary society.

In this six-volume work, Daisaku Ikeda, a Buddhist philosopher and president of the lay Buddhist organization Soka Gakkai International (SGI), examines and expands on the Lotus Sutra, a highly valued sutra in the Mahayana tradition. Together with representatives of the Soka Gakkai Study Department, he shares observations and insights on each of the Lotus Sutra’s twenty-eight chapters as interpreted by the 13th century Japanese Buddhist teacher Nichiren and the Sutra’s capacity to empower contemporary society.

In this six-volume work, Daisaku Ikeda, a Buddhist philosopher and president of the lay Buddhist organization Soka Gakkai International (SGI), examines and expands on the Lotus Sutra, a highly valued sutra in the Mahayana tradition. Together with representatives of the Soka Gakkai Study Department, he shares observations and insights on each of the Lotus Sutra’s twenty-eight chapters as interpreted by the 13th century Japanese Buddhist teacher Nichiren and the Sutra’s capacity to empower contemporary society.

Key words: Sutra, The Lotus Sutra, religion, Shakyamuni, Buddhism, Nichiren, Buddhist philosophy, humanism, dignity of life.