The book Numerical Methods and Mathematical Modeling, created by the team of authors, is a unique publication that will become an indispensable assistant for students, graduate students and specialists working in the field of applied mathematics, engineering and natural sciences. This work covers a wide range of numerical methods and their application in mathematical modeling, making it relevant to both theorists and practitioners. In Numerical Methods and Mathematical Modeling, the reader will find a detailed description of such topics as the solution of differential equations, optimization methods, interpolation and approximation, as well as numerical methods for solving problems arising in various fields of science and technology. The book not only introduces the basic concepts, but also immerses in practical aspects, demonstrating how theoretical knowledge can be applied to solve real-world problems. Each section is filled with examples and tasks, which allows the reader not only to absorb the material, but also to apply it in practice. This book will be especially interesting for those who are fond of mathematics and its applications in real life. Tech students, graduate students, researchers, and practicing engineers will find it useful tools for their work. The age category of readers can range from high school students studying advanced mathematics to adult professionals seeking to expand their knowledge and skills in numerical methods. The topics raised in the book cover not only mathematical aspects, but also philosophical issues related to modeling and approximation. How to choose the right model to describe complex processes? How to avoid errors in calculations and interpretation of results? These and many other questions become the basis for deep reflections that can inspire the reader to further research and development. The style of the authors is distinguished by clarity and accessibility of the presentation, which allows even complex concepts to be presented in an understandable and logical form. Each section of the book contains not only theoretical calculations, but also practical examples, which makes the material more lively and interesting. The book is written taking into account current trends in mathematical education and actively uses computer technology, which makes it especially relevant in the era of digitalization. If you are looking for literature that will help you deepen your knowledge in the field of numerical methods and mathematical modeling, then this publication will be a real find for you. It will not only enrich your intellectual baggage, but also give you practical skills that you can apply in your professional activities. In addition to Numerical Methods and Mathematical Modeling, you can pay attention to other works such as "