Modern geometry. Geometry and groups of transformations

Modern geometry. Geometry and groups of transformations

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LF/879428582/R
Russian
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"Modern Geometry . Geometry and Transformation Groups" is an outstanding work written by famous Russian mathematicians, such as Dubrovin, Novikov and Fomenko. This book is a real treasure for anyone interested in geometry, mathematics and its applications in various fields of science. It opens the door to a world where geometric shapes and transformations become not just abstract concepts, but living tools for understanding the surrounding reality. In the book, the authors explore the relationship between geometry and transformation groups, allowing readers to gain a deeper understanding of how the two aspects interact with each other. They offer the reader a unique view of geometric structures, viewing them not only as static objects, but also as dynamic systems that can be changed and transformed. This concept opens new horizons in the study of geometry, making it more accessible and understandable. The book will be of interest not only to professional mathematicians, but also to students, graduate students, as well as everyone who is fond of mathematics and wants to expand their knowledge in this area. It is suitable for those who are looking for a deeper understanding of geometry and its applications, as well as for those who want to develop analytical thinking and learn to apply mathematical concepts in real life. If you are interested in topics such as differential geometry, topology or mathematical physics, then this book will be a real guide for you. One of the key topics addressed in the book is the relationship between geometry and symmetry. The authors explain in detail how transformation groups help to reveal the symmetries of different geometric objects and how this knowledge can be applied in other fields of science, such as physics and engineering. This topic is not only relevant, but also extremely fascinating, as it allows you to look into the essence of things and understand how symmetry permeates all aspects of our lives. The style of the authors is distinguished by clarity and accessibility, which makes complex mathematical concepts understandable even for those who are just starting their way in the study of geometry. Dubrovin, Novikov and Fomenko are known for their other works, which also deserve attention. For example, their book “Geometry and Topology” has become a classic in the field of mathematical education. In Modern Geometry, they continue to develop their ideas, offering readers new approaches and methods. This book not only enriches theoretical knowledge, but also inspires the practical application of the knowledge gained. The reader will be able to see how geometric principles are applied in architecture, design, physics, and even art. This makes the book especially valuable for those who want not only to study mathematics, but also to use it in their professional activities. In conclusion, “Modern geometry . Geometry and Groups of Transformation” is not just a textbook, but a real encyclopedia of knowledge that will help the reader to better understand the world of geometry and its diversity. If you want to expand your horizons and immerse yourself in the fascinating world of mathematics, this book will become your reliable companion. Do not miss the opportunity to discover new ideas and concepts that can change your perception of geometry and its role in our world.
LF/879428582/R

Data sheet

Name of the Author
Дубровин
Новиков
Фоменко.
Language
Russian
ISBN
9785901006016
Release date
1998
Volume
Том 1

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Modern geometry. Geometry and groups of transformations

"Modern Geometry . Geometry and Transformation Groups" is an outstanding work written by famous Russian mathematicians, such as Dubrovin, Novikov and Fomenko. T...

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