Lectures on symplectic geometry and topology [Electronic resource]

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The book "Lectures on Symplectic Geometry and Topology" in electronic format, prepared by the team of authors, is a unique and deep learning resource designed for those who seek to understand the complex and exciting aspects of modern mathematics. This book is a real storehouse of knowledge for students, graduate students and teachers who want to expand their horizons in the field of symplectic geometry and topology, as well as for researchers looking for a systematic presentation of key concepts and methods. What is hidden behind the pages of this electronic edition? The focus is on the amazing world of symplectic geometry, a branch of mathematics that deals with the study of structures that persist under certain transformations. The author’s team masterfully reveals the main ideas, starting with classical concepts and ending with modern directions, demonstrating how the symplectic structure permeates various fields of mathematics and physics. The book deals in detail with such topics as symplectic manifolds, forms, equations and their properties, as well as the most important theorems underlying this field. The issues of topology, which are closely related to symplectic geometry, are not bypassed, from simple invariants to complex structures that form modern mathematical thinking. This book is especially valuable for those who want not only to master the theoretical foundations, but also to learn how to apply them in practice. It details the methods and techniques used in research, making it an indispensable tool for those engaged in scientific work or planning to delve deeper into academic activities. The presentation style is distinguished by clarity and logical consistency, which facilitates the perception of even the most complex concepts. The authors use a rich set of illustrations and examples to help the reader visualize abstract ideas and understand their practical significance. The book "Lectures on Symplectic Geometry and Topology" is perfect for undergraduate students and graduate students studying mathematics, physics or engineering sciences, where the symplectic structure is important . It will also interest researchers working in the field of differential geometry, mathematical physics and topology, as it reveals modern approaches and current directions of research. For curious readers who want to expand their knowledge of the fundamental structures of mathematics, this book will be an excellent start and a source of inspiration. The peculiarity of this publication is its relevance and completeness .. It highlights both classical theories and recent advances in symplectic geometry and topology, making it a valuable addition to any scientific library. The author’s team, with rich experience and deep knowledge, successfully combines theory with practical aspects, which allows the reader not only to understand complex ideas, but also to learn how to apply them in their research or educational projects. If you are looking for a book that will help you understand why symplectic geometry is considered one of the most beautiful and powerful sections of mathematics, then “Lectures on symplectic geometry and topology” is exactly what you need. This edition will not only expand your knowledge, but also inspire new discoveries, reveal the secrets of complex structures and help you look at mathematics from a new perspective. In today's world, where the boundaries between mathematics and physics are blurred, this book will be your reliable guide to the amazing and multifaceted world of symplectic structures and topological phenomena.
LF/268925980/R
Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian