From ornaments to differential equations Popul. introduction to the theory of groups of transformations

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*From Ornaments to Differential Equations: A Popular Introduction to Transformation Group Theory* by Sergei Vasilevich Duzhin and Boris Dmitrievich Chebotarevsky is an engaging journey into the world of mathematics that will captivate both students and science enthusiasts alike. This book is more than just a textbook; it’s a true encyclopedia of ideas, offering something new and inspiring on every page. From the very beginning, the authors draw readers into the fascinating realm of patterns and designs, illustrating how simple geometric shapes can reveal profound mathematical principles. The book opens with a discussion of symmetry and its role in art and nature, making complex concepts accessible even to those without a formal math background. Duzhin and Chebotarevsky skillfully connect visual elements with abstract mathematical ideas, emphasizing how transformation group theory helps explain the symmetries we observe around us. Who is this book for? Primarily, it will appeal to students studying mathematics or physics, as well as educators looking to deepen their understanding of group theory. However, thanks to its clear language and engaging examples, it also suits a broader audience — from high school students to science lovers eager to see how mathematics influences everyday life. Readers interested in topics like symmetry, art, physics, or even philosophy will find plenty of thought-provoking ideas within these pages. The topics covered span a wide range — from the fundamentals of group theory to its applications across various scientific fields. The authors highlight how mathematics serves as a powerful tool for understanding complex processes, such as differential equations, which underpin many physical models. This makes the book not only theoretical but also practical, demonstrating how abstract concepts are applied in real-world contexts. The authors’ style is characterized by clarity and logical progression, making challenging ideas easy to grasp. They incorporate numerous examples and illustrations, helping readers visualize and internalize the material. Their approach to explaining mathematical concepts makes reading both enjoyable and educational. If you’re familiar with other works by these authors, you know they always strive to make mathematics lively and engaging. *From Ornaments to Differential Equations* stands out among popular science books thanks to its unique approach to presenting material. It’s perfect for those seeking more than a standard textbook — for anyone eager to dive into the world of ideas and concepts shaping our understanding of reality. Readers interested in mathematics, group theory, or differential equations will find this book a source of inspiration and knowledge. In conclusion, *From Ornaments to Differential Equations* is not just a book — it’s a whole world waiting to be explored. It has the power to transform your view of mathematics and its role in life, inspiring new discoveries and research. If you’re ready to uncover the astonishing connections between art and science, this book will be your faithful companion on an exciting journey.
LF/928821565/R
Data sheet
- Name of the Author
- Борис Дмитриевич
Дужин
Сергей Васильевич
Чеботаревский
авт - Language
- Russian
- Series
- Мир занимательной науки
- ISBN
- 9785339001010
- Release date
- 1988