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# General Algebraic Ideas (1973) | # General Algebraic Ideas (1973) | ||
# Linear and | # Linear and Tensor Algebra (1973) | ||
# Algebraic | # Algebraic Topics in Systems Theory (1973) | ||
# Energy-Momentum Tensors (1973) | # Energy-Momentum Tensors (1973) | ||
# Topics in General Relativity (1973) | # Topics in General Relativity (1973) | ||
# Topics in the | # Topics in the Mathematics of Quantum Mechanics (1973) | ||
# Spinors, Clifford and Cayley Algebras (1974) | # Spinors, Clifford and Cayley Algebras (1974) | ||
# Linear | # Linear Systems and Introductory Algebraic Geometry (1974) | ||
# [[Geometric Structure of Systems-Control Theory and Physics (Book)|Geometric | # [[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 | # [[Gauge Fields and Cartan-Ehresmann Connections (Book)|Gauge Fields and Cartan–Ehresmann Connections (1975)]] | ||
# Geometric | # 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) | # Geometric Theory of Non-Linear Differential Equations, Bäcklund Transformations, and Solitons, Part A (1976) | ||
# Algebro- | # 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) | # Geometric Theory of Non-Linear Differential Equations, Bäcklund Transformations, and Solitons, Part B (1976) | ||
# Toda | # Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations, and Kinks, Part A (1977) | ||
# Quantum and | # Quantum and Fermion Differential Geometry (1977) | ||
# Differential Geometry and the Calculus of Variations, 2nd Edition (1977) | # Differential Geometry and the Calculus of Variations, 2nd Edition (1977) | ||
# Toda | # Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations, and Kinks, Part B (1977) | ||
# Yang–Mills, Kaluza–Klein, and the Einstein | # Yang–Mills, Kaluza–Klein, and the Einstein Program (with contributions by Frank Estabrook, Hugo Wahlquist) (1978) | ||
# Cartanian | # Cartanian Geometry, Nonlinear Waves, and Control Theory, Part A (1979) | ||
# Cartanian | # Cartanian Geometry, Nonlinear Waves, and Control Theory, Part B (1980) | ||
# Topics in the | # Topics in the Geometric Theory of Linear Systems (1984) | ||
# Topics in the | # Topics in the Geometric Theory of Integrable Dynamical Systems (1984) | ||
# Topics in | # Topics in Physical Geometry (1988) | ||
# [[Geometric Computing Science (Book)|Geometric | # [[Geometric Computing Science (Book)|Geometric Computing Science – First Steps (1991)]] | ||
# Geometric | # Geometric Structures in Nonlinear Systems (1991) | ||
# Constrained | # Constrained Mechanics and Lie theory (1992) | ||
# Lie–Cartan–Ehresmann Theory (1993) | # Lie–Cartan–Ehresmann Theory (1993) | ||
# Lie-theoretic | # Lie-theoretic Ordinary Differential Equations, Numerical Analysis, Mechanics, and Differential Systems (1994) | ||
# C–O–R | # C–O–R Generalized Functions, Current Algebras and Control (1994) | ||
=== Lie Groups Series: History, Frontiers and Applications === | === 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]] | [[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 | # 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 == | == Eric on Hermann == | ||
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* [https://www.math.columbia.edu/~woit/wordpress/?p=11608 Not Even Wrong Blog Post about Robert Hermann] | * [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] | * [https://www.ams.org/journals/notices/202109/rnoti-p1530.pdf AMS Memorial for Robert Hermann] | ||
[[Category: Mathematicians]] | |||