Differential equations. Examples and problems

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The Differential Equations . Examples and Tasks”, created by the team of authors, is an indispensable assistant for students, teachers and everyone who seeks to better understand one of the key areas of mathematical analysis. This book is a real storehouse of knowledge and practical skills, which reveals complex concepts of differential equations through living examples, understandable explanations and carefully selected tasks. It can be called a desktop manual for those who want not only to master the theory, but also to learn to apply differential equations in real-life situations, be it engineering problems, economic models or biological processes. What does "Differential Equations. do" Examples and tasks" especially attractive to the reader? First, the book is distinguished by a systematic approach to the material . The authors, who have rich pedagogical experience, skillfully combine theoretical foundations with practical examples, which helps the reader not only to understand how to solve specific types of equations, but also to see their application in various fields of science and technology. Each chapter is filled with illustrations, graphs and step-by-step solutions, which makes learning not only effective, but also exciting. Second, the book is addressed to a wide audience .. It is perfect for students of technical and mathematical faculties, graduate students, teachers, as well as those who independently study differential equations. For beginners, the authors prepared a simple and accessible presentation, avoiding unnecessary complex terminology, and for advanced ones - extended sections with more complex tasks and non-standard examples. This makes the book a universal tool that can meet the needs of both beginners and those who already have basic knowledge and want to deepen them. The topics raised in the book cover a wide range of issues, from simple first-order equations to complex systems and partial-derivative equations. Particular attention is paid to solution methods such as variable separation, integrating multipliers, characteristic method, and numerical methods. The book also explores applications of differential equations in areas ranging from physics and mechanics to economics and biology, making it not only a textbook but also a practical guide. The style of presentation of the authors is distinguished by clarity, logic and liveliness. They are able to interest the reader from the first pages, turning complex mathematical concepts into understandable and interesting stories. There are many illustrations, tables and diagrams in the book, which contributes to a better assimilation of the material .. The authors also use a variety of forms of tasks - from simple training to more complex, requiring analytical thinking and a creative approach. This approach helps to consolidate knowledge and develop skills for independent problem solving. Speaking of style, the team of authors takes a pragmatic and at the same time inspiring approach. They do not just explain how to solve equations, but show why, and make it possible to feel like a real researcher in the world of mathematics. In their other well-known works, there is often a desire to make mathematics lively and accessible, which is clearly manifested in this book. So, “Differential Equations . Examples and Tasks" is not just a textbook, but a full-fledged guide to mastering the most important part of mathematical analysis. This book will become a reliable companion on the way to professional growth, will help to prepare for exams and expand their knowledge in the field of applied mathematics. For those who are looking for a practical guide with a rich set of examples and tasks, it will become an indispensable tool that can turn complex differential equations into an exciting and understandable adventure.
LF/990755607/R
Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian