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Robert Hermann
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Robert C. Hermann (April 28, 1931 – February 10, 2020) was an American mathematical physicist. [[File:Robert-C-Hermann.jpg|thumb|Bob with his daughter, Gabrielle, at her graduation in 2005 from the Fletcher School, Tufts University.]] == Books & Papers == === Interdisciplinary Mathematics Series === Published by Math Sci Press, Brookline, Massachusetts [[File:Hermann-Books-Interdisciplinary-Mathematics.png|thumb|alt=Robert Hermann's Interdisciplinary Mathematics Series|Hermann's Interdisciplinary Mathematics Series]] # General Algebraic Ideas (1973) # Linear and Tensor Algebra (1973) # Algebraic Topics in Systems Theory (1973) # Energy-Momentum Tensors (1973) # Topics in General Relativity (1973) # Topics in the Mathematics of Quantum Mechanics (1973) # Spinors, Clifford and Cayley Algebras (1974) # Linear Systems and Introductory Algebraic Geometry (1974) # [[Geometric Structure of Systems-Control Theory and Physics (Book)|Geometric Structure Theory of Systems-Control Theory and Physics, Part A (1974)]] # [[Gauge Fields and Cartan-Ehresmann Connections (Book)|Gauge Fields and Cartan–Ehresmann Connections (1975)]] # Geometric Structure of Systems-Control Theory and Physics, Part B (1976) # Geometric Theory of Non-Linear Differential Equations, Bäcklund Transformations, and Solitons, Part A (1976) # Algebro-Geometric and Lie Theoretic Techniques in Systems Theory ''(with Clyde Martin)'' (1977) # Geometric Theory of Non-Linear Differential Equations, Bäcklund Transformations, and Solitons, Part B (1976) # Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations, and Kinks, Part A (1977) # Quantum and Fermion Differential Geometry (1977) # Differential Geometry and the Calculus of Variations, 2nd Edition (1977) # Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations, and Kinks, Part B (1977) # Yang–Mills, Kaluza–Klein, and the Einstein Program (with contributions by Frank Estabrook, Hugo Wahlquist) (1978) # Cartanian Geometry, Nonlinear Waves, and Control Theory, Part A (1979) # Cartanian Geometry, Nonlinear Waves, and Control Theory, Part B (1980) # Topics in the Geometric Theory of Linear Systems (1984) # Topics in the Geometric Theory of Integrable Dynamical Systems (1984) # Topics in Physical Geometry (1988) # [[Geometric Computing Science (Book)|Geometric Computing Science – First Steps (1991)]] # Geometric Structures in Nonlinear Systems (1991) # Constrained Mechanics and Lie theory (1992) # Lie–Cartan–Ehresmann Theory (1993) # Lie-theoretic Ordinary Differential Equations, Numerical Analysis, Mechanics, and Differential Systems (1994) # C–O–R Generalized Functions, Current Algebras and Control (1994) === Lie Groups Series: History, Frontiers and Applications === [[File:Hermann-Lie-Groups-Series.png|thumb|alt=Robert Hermann's Lie Groups Series|Hermann's Lie Groups Series]] # Sophus Lie's 1880 Transformation Group Paper. ''Translation by M. Ackerman. Appendices by R. Hermann'' # Ricci and Levi-Civita's Tensor Analysis Paper. ''Translation and comments by R. Hermann'' # Sophus Lie's 1884 Differential Invariants Paper. ''Translation by M. Ackerman. Appendices by R. Hermann'' # Smooth Compactification of Locally Symmetric Varieties. ''By A. Ash, D. Mumford, M. Rapoport and Y. Tal'' # Simplectic Geometry and Fourier Analysis. ''By N. Wallach. Appendix on Quantum Mechanic by R. Hermann'' # The 1976 AMES Research Center (NASA) Conference on Geometric Nonlinear Wave Theory. ''Edited by R. Hermann'' # The 1976 AMES Research Center (NASA) Conference on Geometric Control Theory. ''Edited by R. Hermann and Clyde Martin'' # Hilbert's Papers on Invariant Theory. ''Translated by M. Ackerman, comments by R. Hermann'' # Development of Mathematics in the 19th Century. ''By Felix Klein. Translated by M. Ackerman. Appendix: "Kleinian Mathematics from an Advanced Standpoint" by R. Hermann'' # Quantum Statistical Mechanics and Lie Group Harmonic Analysis. ''By Norman Hurt and Robert Hermann (1980)'' # First Workshop on Grand Unification. ''Editors: P. Frampton, S. Glashow and A. Yildiz'' # Inverse Scattering Papers: 1955-1963. ''By Irvin Kay and Harry E. Moses'' # Geometry of Riemannian Spaces. ''By Elie Cartan. Translation by James Glazebrook, Appendices by Robert Hermann'' # The Geometric Theory of Ordinary Differential Equations. ''By Georges Valiron. Translation by James Glazebrook'' # The Classical Differential Geometry of Curves and Surfaces. ''By Georges Valiron. Translation by James Glazebrook'' === Systems Information and Control === # Geometry and Identification: Proceedings of APSM Workshop on System Geometry, System Identification, and Parameter Identification. ''Editors: Peter Canes and Robert Hermann'' # Berkeley-Ames Workshop on Nonlinear Problems in Control and Fluid Mechanics. ''Editors: L. R. Hunt and C. F. Martin'' === Other Works === * Lie algebras and quantum mechanics, ''Benjamin, Inc'' (1970) * Geometry, Physics and Systems, ''Dekker'' (1973) * Differential geometric methods and ideas in physics and engineering, ''Rutgers University Press'', (1973) * Compactifications of Homogeneous Spaces and Contractions of Lie Groups, ''PNAS'', (1964) * Lie Groups for Physicists, ''Addison-Wesley Publication Co'' (1966) * Fourier Analysis on Groups and Partial Wave Analysis, ''Benjamin, Inc'' (1969) * Lectures in Mathematical Physics, ''Benjamin, Inc'' (1970) * Vector Bundles in Mathematical Physics, Vol. 1, ''Benjamin, Inc'' (1970) * Vector Bundles in Mathematical Physics, Vol. 2, ''Benjamin, Inc'' (1970) * Physical Aspects of Lie Group Theory, ''Les Presses de l'university de Montreal'' (1974) * Ames Research Center Publications, (1977) * Nonlinear Controllability and Observability, ''IEEE Transactions on Automatic Control'' (1977) == Eric on Hermann == {{#widget:Tweet|id=1230989248783740928}} {{#widget:Tweet|id=1230989250432135168}} {{#widget:Tweet|id=1230989252206288897}} {{#widget:Tweet|id=1230990960093302784}} == Further Info == * [https://www.math.columbia.edu/~woit/wordpress/?p=11608 Not Even Wrong Blog Post about Robert Hermann] * [https://www.ams.org/journals/notices/202109/rnoti-p1530.pdf AMS Memorial for Robert Hermann] [[Category:Mathematicians]] [[Category:People]] [[Category:Portal Topics]]
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