Editing Robert Hermann

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 ==
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== 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]]