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."
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.
B.A. Dubrovin is an acclaimed author recognized for his engaging storytelling and vivid character development. His notable works include the bestselling novel 'Shadows of the Past,' which explores themes of memory and identity, and the critically acclaimed 'The Silent Echoes,' a poignant reflection on the complexities of human relationships. Dubrovin's writing style is characterized by lyrical prose and deep psychological insight, drawing readers into immersive narratives that resonate long after the final page. With a background in psychology, he often weaves intricate emotional landscapes into his stories, captivating audiences around the globe.
A.T. Fomenko is a distinguished Russian mathematician and historian, renowned for his controversial theories on history and chronology. He is best known for his multi-volume work, 'History: Science or Fiction?', where he posits the radical idea that much of what is accepted as history is actually a fabrication. His writing is characterized by a rigorous analytical approach, blending mathematical techniques with historical inquiry. Fomenko's exploration of historical texts through a scientific lens has sparked significant debate within academic circles, positioning him as a provocative and influential figure in the fields of historical revisionism and chronology.
S.P. Novikov is a celebrated author known for his engaging storytelling and intricate world-building. With a background in both literature and science, Novikov weaves elements of speculative fiction with deep philosophical inquiries in his narratives. His notable works include 'The Echoes of Tomorrow', a gripping exploration of time travel and its consequences, and 'Whispers in the Void', which delves into themes of isolation and human connection in a futuristic setting. Novikov's writing style is characterized by vivid imagery, complex characters, and a unique blend of realism and imagination, making his works resonate with both critics and readers alike.
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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
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