The Book of Mathematics.. [ [ Elements of mathematical analysis and probability theory: Guidelines for independent work”, created by a team of authors, is an indispensable assistant for students, teachers and anyone who seeks to deepen their knowledge in the field of mathematics. This book is not just a collection of theoretical calculations, but a living guide that helps to reveal complex concepts of mathematical analysis and probability theory through practical tasks, systematic methodological instructions and fascinating examples. What makes this book special? First of all, it is focused on the independent development of the material . The structure of the book is carefully thought out so that the reader can not only get acquainted with the basic concepts, but also consolidate them through practical exercises, which is especially important for students of technical, economic and natural sciences specialties. The authors, who have rich pedagogical experience, offer a clear and accessible explanation of complex topics, avoiding excessive academic rigor and focusing on the practical application of mathematical methods. The book covers a wide range of topics, from the basics of mathematical analysislimits, derivatives, integralsto the fundamental aspects of probability theory, including the laws of large numbers, distributions, and methods of computation. Each topic is accompanied by detailed methodological recommendations, which makes the book especially valuable for those who are preparing for exams or want to systematize their knowledge. It also has sections dedicated to solving typical problems, which allows the reader to independently test their skills and prepare for real academic challenges. This book is perfect for university students, teachers and even graduate students looking for a practical guide to in-depth study of mathematics . It will be interesting for those who appreciate a systematic approach to learning, likes to solve problems and wants to understand how mathematical tools are used in real life - from data analysis and modeling to engineering calculations and financial forecasts. Also, the book may be of interest to those who are looking for an affordable and structured manual for self-study, without fear of encountering difficult concepts, because the authors emphasize clarity and gradual learning of the material. A feature of this work is its practical bias. It raises current topics related to modern areas of mathematical analysis and probability theory, which makes it not only a textbook, but also a valuable source of knowledge for those who want to keep pace with progress. The presentation style is distinguished by clarity, logical consistency and friendly presentation, which contributes to the easy perception of even the most complex sections. Author's team , known for his pedagogical competence and rich teaching experience, Created a book , which not only helps to master the theoretical foundations , but also develop analytical thinking, ability to solve non-standard problems and apply mathematical methods in various fields of activity . It does "Mathematics. Elements of mathematical analysis and probability theory: Methodical guidelines for independent work" is an indispensable companion for those who want not only to learn, but really understand and apply mathematics in life. If you are looking for a book that will help you systematize knowledge, prepare for exams or simply expand your horizons in mathematics, this work will become your reliable assistant. It is suitable for readers with different levels of training - from beginner students to those who already have basic knowledge and want to deepen them. In today's world, where analytical skills and the ability to work with data are increasingly valued, this book is an excellent choice for those who aspire to become a professional in mathematics or just want to understand how the world around us works through the prism of numbers and probabilities.