Math 137 Notes
نویسنده
چکیده
1. Galilean Relativity and Newtonian Determinacy: 1/7/13 1 2. The Euler-Lagrange Equation: 1/9/13 3 3. Suddenly, Riemannian Geometry: 1/14/13 5 4. Examples of Natural Systems: 1/16/13 8 5. More on the Kepler Problem: 1/23/13 10 6. Rigid Bodies I: 1/28/13 12 7. Rigid Bodies II: 1/30/13 14 8. Rigid Bodies III: 2/4/13 15 9. The Legendre Transform and Projective Duality: 2/6/13 17 10. The Least Action Principle in Hamiltonian Mechanics: 2/11/13 19 11. Some Linear Algebra: 2/20/13 21 12. The Lie Derivative and the Poisson Bracket: 2/22/13 23 13. Lagrangian Submanifolds: 2/25/13 25 14. The Last Geometric Theorem of Poincaré: 2/27/13 27 15. Integrable Systems: 3/4/13 28 16. Liouville’s Theorem: 3/8/13 29 17. The Hamilton-Jacobi Method: 3/11/13 31 18. Optics and Contact Geometry: 3/13/13 32 19. Legendrian Knots: An Introduction to Contact Geometry: 3/14/13 34
منابع مشابه
Reading List for Fall 2009 Seminar on Trace Formulas and Independence of `
[1] Deligne, P. Cohomologie étale. Séminaire de Géométrie Algébrique du Bois-Marie SGA 4 12 . Avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier. Lecture Notes in Mathematics, Vol. 569. Springer-Verlag, Berlin-New York, 1977. iv+312pp. [2] Deligne, P. La conjecture de Weil. II Inst. Hautes Études Sci. Publ. Math. No. 52 (1980), 137–252. [3] Freitag, E. and Kiehl...
متن کاملSome notes on the existence of an inequality in Banach algebra
We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.
متن کاملMath 55b Lecture Notes
This is Harvard College’s famous Math 55b, instructed by Dennis Gaitsgory. The formal name for this class is “Honors Real and Complex Analysis” but it generally goes by simply “Math 55b”. It is an accelerated one-semester class covering the basics of analysis, primarily real but also some complex analysis. The permanent URL is http://web.evanchen.cc/~evanchen/coursework. html, along with all my...
متن کاملMath 117 Lecture Notes
This is the set of lecture notes for Math 117 during Fall quarter of 2017 at UC Santa Barbara. The lectures follow closely the textbook [1].
متن کاملMath 270 C : Numerical Mathematics ( Part C ) LECTURE NOTES
Warning! • While being expanded with the addition of new material and being carefully polished continuously, these notes may still contain many typos and mistakes. • These notes are mainly for the graduate course Math 270C, Spring quarter, 2009, at UC San Diego. Any individuals are however welcome to use these notes for personal studies and classes. As always, any comments are very much appreci...
متن کاملCharacterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field
Related Articles Operator extension of strong subadditivity of entropy J. Math. Phys. 53, 122204 (2012) Variational properties of the discrete variable representation: Discrete variable representation via effective operators J. Chem. Phys. 137, 064118 (2012) Symmetry of extremals of functional inequalities via spectral estimates for linear operators J. Math. Phys. 53, 095204 (2012) On the struc...
متن کامل