# Robert Hermann

Robert C. Hermann (April 28, 1931 â February 10, 2020) was an American mathematical physicist.

## Books & Papers[edit]

### Interdisciplinary Mathematics Series[edit]

Published by Math Sci Press, Brookline, Massachusetts

- 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 Theory of Systems-Control Theory and Physics, Part A (1974)
- Gauge Fields and CartanâEhresmann Connections (1975)
- Geometric Structure of Systems-Control Theory and Physics, Part B (1976)
- Geometric Theory of Non-Linear Differential Equations, BĂ¤cklund 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, BĂ¤cklund Transformations, and Solitons, Part B (1976)
- Toda Lattices, Cosymplectic Manifolds, BĂ¤cklund 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, BĂ¤cklund Transformations, and Kinks, Part B (1977)
- YangâMills, KaluzaâKlein, 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 â First Steps (1991)
- Geometric Structures in Nonlinear Systems (1991)
- Constrained Mechanics and Lie theory (1992)
- LieâCartanâEhresmann Theory (1993)
- Lie-theoretic Ordinary Differential Equations, Numerical Analysis, Mechanics, and Differential Systems (1994)
- CâOâR Generalized Functions, Current Algebras and Control (1994)

### Lie Groups Series: History, Frontiers and Applications[edit]

- 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[edit]

- 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[edit]

- 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[edit]