In a book project geometry (above the real numbers, imaginaries and quaternions) is examined and closely with her the constrained so-called geometries of Cayley - Клейна corresponding to the various classic groups. This material on that, as a rule, time is not enough in standard university courses, is the basis of many divisions of modern mathematics : possession very helps them at a study differential and algebraic geometries, and also modern physics.For students, graduate students and research workers.
Questions and answers
What is the book Algebra and geometry. Tom 3. Project geometries and geometries of Cayley - Клейна about in short?
The book explores projective geometry over real numbers, complex numbers, and quaternions, along with the associated Cayley-Klein geometries linked to various classical groups. It addresses topics often overlooked in standard university courses, providing essential insights into modern mathematics, particularly in differential and algebraic geometries, as well as contemporary physics.
What is the main idea of the book Algebra and geometry. Tom 3. Project geometries and geometries of Cayley - Клейна?
The main idea of this book is to bridge the gap between traditional mathematical education and advanced topics in projective geometry and Cayley-Klein geometries. It emphasizes the importance of these concepts in understanding modern mathematical frameworks and their applications in fields such as physics, making it a valuable resource for students and researchers alike.
Who should definitely read the book Algebra and geometry. Tom 3. Project geometries and geometries of Cayley - Клейна?
This book is essential for students, graduate students, and researchers in mathematics and physics who seek a deeper understanding of projective geometry and its applications. It is particularly beneficial for those looking to enhance their knowledge in differential and algebraic geometries, as well as for anyone interested in modern mathematical theories.
What books is the book Algebra and geometry. Tom 3. Project geometries and geometries of Cayley - Клейна similar to?
This book is similar to other advanced texts in geometry and algebra, such as 'Geometry: Euclid and Beyond' by Robin Hartshorne and 'Algebraic Geometry' by Robin Hartshorne. These works also delve into complex geometrical concepts and their applications in mathematics, making them suitable companions for readers interested in deepening their understanding of these subjects.
- Name of the Author
- Зуланке Р., Онищик Аркадий Львович
- Language
- Russian
- ISBN
- 978-5-4439-3357-3
- Release date
- 2020
Read an excerpt
12/21/2024
Алгебра и геометрия. Том 3
Книга "Алгебра и геометрия. Том 3. Проективные геометрии и геометрии Кэли – Клейна" — это настоящая находка для студентов и аспирантов, интересующихся углубленным изучением геометрии. Автор мастерски объясняет сложные концепции проективной геометрии, делая акцент на взаимосвязи с классическими группами. Особенно впечатляет, как материал структурирован: каждая глава логично переходит в следующую, что позволяет читателю постепенно углубляться в тему. Плюс, наличие множества примеров и задач помогает закрепить изученное. Однако стоит отметить, что книга требует определенной математической подготовки, и новичкам может быть сложно осилить некоторые разделы. Тем не менее, для тех, кто готов к вызову, это отличный ресурс, который обогатит знания и поможет в дальнейшем изучении дифференциальной и алгебраической геометрий. Рекомендую всем, кто хочет расширить свои горизонты в математике.