by Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu · Springer · tapa dura · ISBN 9780387967905
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This book provides core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory are given. This edition does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory.
Ralph Lee Abraham Jr. is an American veterinarian, physician, and politician who served as the principal deputy director of the Centers for Disease Control and Prevention from December 2025 to February 2026. Prior to that, he was Louisiana Surgeon General from 2024 to 2025. He served as the U.S. representative for Louisiana's 5th congressional district from 2015 to 2021 as a member of the Republican Party. Abraham ran for governor of Louisiana in 2019, but failed to advance to the runoff.
