The book "Training manual on the course "Mathematical modeling of physical processes" . Part 1. Ice Sheet Models" is a unique work created by a team of authors, which aims at a deep understanding of mathematical modeling in the context of studying ice sheets. This manual will become an indispensable assistant for students, graduate students and teachers interested in physics, mathematics and geography, as well as for specialists working in the field of climatology and ecology. In the first part of the manual, the authors consider in detail the methods of mathematical modeling used to study glacial cover, their dynamics and influence on climate change. Glaciers are important indicators of global warming, and understanding their behavior is critical to predicting changes in ecosystems and sea levels. The book offers readers not only theoretical foundations, but also practical examples, which makes the material accessible and understandable. This manual will be of particular interest to undergraduate and graduate students studying physics, mathematics, geography and ecology. It will also be useful to specialists working in scientific and research institutes, where the application of mathematical models for the analysis of natural processes is required. Readers interested in climate change, ecosystems, and their interactions with human activity will find this guide to be a wealth of useful information. The topics raised in the book cover a wide range of topics, from the basics of mathematical modeling to specific applications in the field of glacial cover. The authors emphasize the importance of accuracy and reliability of models, as well as the need for their verification and calibration. This is particularly relevant in light of the current challenges posed by climate change and its implications for the planet. Readers will be able to learn about different approaches to modeling, such as numerical methods and statistical models, and how these approaches are applied to the analysis of glacial processes. The style of the authors is distinguished by clarity and accessibility of the presentation, which makes it easy to assimilate even complex mathematical concepts. They use a variety of illustrations and graphics that help to visualize the ideas presented and make the material more visual. This manual not only teaches, but also inspires further research in the field of mathematical modeling and its application in geosciences. The book "Training manual on the course "Mathematical modeling of physical processes" . Part 1. Ice Sheet Models” will be a great addition to the library of anyone who seeks a deeper understanding of the interaction between mathematics and natural processes. If you are looking for literature that will help you understand the complex aspects of modeling and its application to real-world tasks, this tutorial is exactly what you need. Do not miss the opportunity to immerse yourself in the world of mathematical modeling and discover new horizons in the study of ice sheets. This book will not only expand your knowledge, but also help you become part of an important scientific discourse concerning the future of our planet.