Semigroups of Linear Limited Operators: A Tutorial for Students Studying in Direction 01. 03. 04 Applied Mathematics" is an indispensable source of knowledge for those who seek a deeper understanding of the fundamental aspects of modern mathematical theory and its practical application. The author’s team has created a unique manual that combines theoretical rigor and practical orientation, making it especially valuable for students, graduate students and teachers working in the field of applied mathematics, functional analysis and operator theory. This book reveals to the reader the richness and complexity of the topic of semi-groups of linear limited operators, which are the most important tool in the study of evolutionary processes, differential equations and mathematical modeling. The author’s team masterfully explains the basic concepts, starting with basic definitions and ending with modern results, which allows students not only to master the theory, but also to see its application in real problems of science and technology. The book discusses in detail the properties and classification of semigroups, their relationship to differential equations, as well as methods of analysis and construction of solutions, which makes it a valuable tool for those who want to master modern methods of studying dynamical systems. Particular attention is paid to practical aspects - the book presents examples, tasks and algorithms that help to consolidate theoretical knowledge and prepare for solving real engineering and scientific problems. The style of presentation of the authors is distinguished by clarity and logical consistency, which makes even complex topics available to students who are just beginning their journey in the field of applied mathematics, as well as for those who already have basic knowledge and want to expand their horizons. The book "Semigroups of Linear Limited Operators" will be especially useful for students studying in direction 01. 03. 04 Applied Mathematics, as well as graduate students and teachers looking for a modern and in-depth teaching aid. It is perfect for self-study, as well as for use in training courses and seminars. It raises important topics such as the theory of strong and weak decisions, spectral analysis, asymptotics and the stability of evolutionary processes, which makes the book relevant and in demand in scientific research and practice. The author’s team, including leading specialists in the field of functional analysis and operator theory, created a work that not only systematizes existing knowledge, but also stimulates the development of new methods and approaches. The style of presentation is characterized by accuracy and logical harmony, which allows the reader to easily navigate complex concepts and quickly find answers to emerging questions. If you are looking for a book that will help you understand how the semi-groups of linear limited operators work and why this topic is so important for modern analysis and modeling, the “Semi-groups of linear limited operators” will become a reliable companion for you. This tutorial is the key to mastering the complex mathematical tools needed to solve the urgent problems of science and technology, and an excellent opportunity to expand your knowledge in applied mathematics and operator theory.