Modern Geometry — Methods and Applications Book Summary

Dive into the realm of Modern Geometry with Dubrovin, Fomenko, and Novikov as they unravel complex concepts using innovative methods. This book not only presents the intricacies of geometrical theories but also highlights their multifaceted applications in contemporary science and technology. With engaging examples and profound insights, it invites readers to explore the aesthetic beauty of geometric structures. Whether a novice or seasoned mathematician, the text promises to reshape your understanding of spatial relationships. Prepare for a thrilling intellectual journey that challenges perceptions and ignites curiosity.

By B.A. Dubrovin, A.T. Fomenko, S.P. Novikov

Published: 1991

"In the ever-evolving landscape of geometry, each theorem unfolds layers of reality, revealing the deep connections between mathematical beauty and the physical universe."

Book Review of Modern Geometry — Methods and Applications

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.

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In the ever-evolving landscape of geometry, each theorem unfolds layers of reality, revealing the deep connections between mathematical beauty and the physical universe.

Modern Geometry — Methods and Applications

By B.A. Dubrovin, A.T. Fomenko, S.P. Novikov