Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. The principal aim of this book is to narrate, in an accessible and fairly visual language, some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with new results in Hamiltonian geometry. The author gives visual explanations of the problems and results, without recourse to the abstract logical aspects of calculations. The book includes numerous graphical sheets drawn by the author, which illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods.
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Vendeur : Bookbot, Prague, Rébublique tchèque
Hardcover. Etat : As New. Leichte Kratzer / Abnutzungen / Druckstellen. Geometry and topology are driven by the visualization of ideal objects with unique characteristics. A clear understanding of specific properties or proofs often emerges when mathematicians can "see" the concepts at play. These visualizations serve as signposts to mathematical comprehension and possess their own inherent beauty. This book aims to narrate, in an accessible and visual manner, classical and modern achievements in geometry and topology, addressing both intrinsic mathematical problems and their applications in mathematical physics. It begins with classical topology and progresses to notable advancements in Hamiltonian geometry. Fomenko emphasizes visual explanations over abstract calculations, allowing readers to quickly grasp the new theory of topological descriptions of integrable Hamiltonian differential equations. The book features numerous graphical illustrations created by the author, presented in dedicated "Visual material" sections, which elucidate the mathematical ideas and results discussed. These visuals enable readers to engage with contemporary mathematical concepts and methods. Although focused on mathematics, the book is crafted to appeal to students and researchers across the natural sciences, as well as artists and art students, ensuring a wide range of interest. N° de réf. du vendeur 591efec9-002a-432e-a342-75957c61ffb6
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