This book is a continuation of Part 1 of the tutorial by the same author. In addition to the theoretical foundations of an in-depth course in elementary mathematics, it examines various techniques and methods for solving problems, their systematization, including problems with original and non-standard approaches to solution. This publication includes more than 250 analyzed examples, as well as an almost complete list of problems in mathematics (with solutions to about 585 problems) offered at entrance exams and Olympiads at Moscow State University from 2000 to 2019 and partly earlier . The tasks are grouped by topics and methods.
The book includes additional material that expands the student's mathematical horizons and allows it to be used as a reference tool.
Recommended for preparatory departments and courses, high school students preparing for participation in mathematical olympiads, for admission to higher educational institutions, such as Lomonosov Moscow State University, Moscow Institute of Physics and Technology, Bauman Moscow State Technical University, MEPhI, MTUCI , HSE, Plekhanov Russian Academy of Economics, Financial Academy, MGIMO, etc., where the ability to solve problems of increased complexity is required.
The manual can be used for distance learning, as well as by schoolchildren in preparation for passing the specialized Unified State Exam (the most difficult part of it) and by school teachers. You can also purchase in our online store Part 1. Theory numbers. Algebra
The textbook is intended for repetition and systematization of student knowledge in preparation for exams and olympiads in mathematics. Aimed at applicants to those higher educational institutions where it is required to demonstrate a high level of knowledge in mathematics - both in theory and in practice of solving problems. Part 1 of the book includes the following sections: “The Theory of Real Numbers”, “Numerical Equalities and Inequalities. Abbreviated multiplication formulas. Known algebraic inequalities", "Algebraic equations and inequalities". The book contains all the necessary definitions, formulations and proofs of properties and theorems. Particular attention in the manual is paid to the analysis of various techniques and methods for solving problems (Part 1 includes more than 450 problems with solutions from variants of examination tasks at Lomonosov Moscow State University, MEPhI, MIPT, Bauman MSTU, MTUSI, HSE, Plekhanov Russian Economic Academy, Financial Academy and other universities), as well as about 625 problems for independent solution (with answers and solutions). Much attention is paid to problems with non-standard approaches to solution. The book includes a lot of additional and reference material that expands the student’s mathematical horizons.
The manual is recommended for high school students, students of preparatory departments and courses for preparing for Olympiads (at the level of Lomonosov Moscow State University) and the Unified State Exam (in the most difficult its parts), as well as teachers teaching elementary mathematics courses.
Published by decision of the Editorial and Publishing Council of Lomonosov Moscow State University. You can also purchase in our online store Part 2. Systems of equations and inequalities. Text problems. Sequences. Progression. Elements of set theory
We talk about the basic concepts of statistics, understanding by it, as is customary in the school course, descriptive statistics. The main attention is paid to statistical variables and operations on them (linear transformations, summation, mixing). In the final section, using the example of the history of the discovery of argon, we talk about the role of statistics in natural science.
This publication provides historical information about the Faculty of Foreign Languages of Moscow State University. M.V. Lomonosov, materials are given on the history of the departments and other scientific and pedagogical divisions of the faculty, information about the pedagogical and scientific activities of the departments today, about the teaching staff and international relations of the FIL. The contents of the book reflect the activities of the faculty since its founding.
For linguists, philologists, historians and everyone interested in the history of the Faculty of Foreign Languages and the history of Moscow State University.
This textbook is a revised and expanded edition of the text published in 2011 (Moscow: Academic Project). Since the first edition, the textbook has been an integral part of the educational process at the Faculty of Philosophy of Lomonosov Moscow State University and has shown a very high degree of suitability for the training of both students of philosophical specializations and applicants for academic degrees in relevant areas.
The materials of this textbook are the result of many years of research and teaching work of the author at the Department of Aesthetics of the Faculty of Philosophy of Moscow State University. The text contains historical and theoretical expositions of classical aesthetic issues.
The publication will be useful for a wide range of readers interested in the theory and history of aesthetics.
The book includes educational and methodical supplies with control questions and recommended literature, tasks for individual work, examples of actual professional and ethical dilemmas for the analysis of concrete cases of journalistic practice, and texts of the international and foreign documents considering various aspects of media ethics.
For students journalism schools.
In this monograph, as a result of combining practical knowledge in the field of advertising with scientific research methods, for the first time in the domestic scientific and practical literature, a comprehensive analysis of various approaches to studying the effectiveness of advertising text in the media, as well as criteria for its evaluation and testing methods, is carried out.
The process of creating effective advertising text is considered in its entirety and in a logical sequence - from choosing an advertising strategy depending on the marketing context of placement, through solving media planning problems and to developing advertising text taking into account initial marketing data and media planning parameters, and also depending on the media context of its placement.
At the end of the work, special checklists are provided for a preliminary comprehensive assessment and testing of the effectiveness of advertising text in various media, which will significantly optimize advertising investments and increase the effectiveness of advertisers.
The work will be of interest to graduate students and teachers of disciplines related to advertising, as well as advertising practitioners, employees of advertising departments and services of enterprises and the media.
The textbook sets out as fully as possible the main issues related to the finding and behavior of various types of radionuclides of natural and anthropogenic origin in terrestrial matter. Much attention is paid to the ecological geochemistry of radionuclides. The issues of geochronology and isotope systematics using radiogenic stable and radioactive isotopes are considered. The issues of the impact of radioactive radiation on the geological environment, including the problems of terrestrial heat, are also presented. The principles of measuring radionuclides and the use of field radiometric methods are given. The main text is preceded by sections devoted to the physical and physico-chemical features of radionuclides.
The book is written in an accessible language and is intended for students, postgraduates and specialists in the field of geochemistry, geology, ecology, radiation hygiene, as well as related disciplines related to the study of radionuclides in terrestrial matter.
The collective monograph, written by well-known Russian linguists, presents a broad picture of the functioning of the language of the media, comprehensively analyzes the influence of politics on the language of the media. This problem is central to the language of the media, since politics is the main content in the activities of the media, and is considered in semiotic, functional-stylistic, ethical and rhetorical aspects. The language of print and electronic media (newspapers, magazines, television, radio) is studied in detail. The language of foreign media is also considered in a comparative aspect. The monograph shows the current state of the media language and its influence on the development of the literary language.
The monograph is of interest to students, postgraduates and teachers of journalism and philology faculties, as well as to a wide range of readers, for those who care about the purity and expressiveness of Russian speech.