The book "Algorithms of methods of weighted non-bonding for solving linear problems of mathematical physics and their implementation in systems" under the authorship of a team of authors, including A. In. Ankilova, is a unique work that immerses the reader in the world of complex mathematical models and their practical application. This publication will be of particular interest to those engaged in scientific research in mathematical physics, as well as specialists working in related fields such as applied mathematics, engineering and computer science. The book details algorithms that help solve linear problems that arise in mathematical physics. The authors offer the reader not only a theoretical basis, but also practical examples, which makes the material available for understanding. The intrigue is that many of the proposed methods can be applied to solve real-world problems faced by scientists and engineers in their practice. This makes the book not only a tutorial, but also a valuable reference for professionals. Who can like this edition? First of all, students and graduate students studying mathematical physics and applied mathematics . The book will also be of interest to teachers who are looking for new approaches to explaining complex topics, as well as practitioners who want to update their knowledge about modern methods of solving mathematical problems. The age category of readers varies from senior courses of universities to experienced researchers, which makes the book a universal source of knowledge. The topics raised in the book cover a wide range of issues, including methods of numerical analysis, optimization of calculations and application of algorithms in various fields of science and technology. The authors emphasize the importance of weighted ties that allow to improve the accuracy and efficiency of solutions, which is relevant in the context of modern scientific progress. The book also touches on the implementation of algorithms in computer systems, which makes it especially valuable for programmers and software developers. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily assimilate complex concepts. They use many examples and illustrations, which makes the material more clear and understandable. The book "Algorithms of the methods of weighted tying" becomes not only a textbook, but also a source of inspiration for those who seek to understand mathematical physics and its practical application. If you are looking for literature on topics related to numerical methods, mathematical physics or algorithms, this book will be a real find for you. It can be compared to works such as Numerical Methods for Differential Equations or