Maria Clara Nucci

My current research interests are:

Lie symmetries in Classical and Quantum Mechanics
Lie symmetries in Epidemiology
Euler's and Jacobi's work on Mechanics and Differential Equations
I have made available for your viewing my current Vita and Publication List.

You can also see my MOST POPULAR PUBLIC LECTURE "Neither Mathematics nor Physics are opinions".

If you are interested in my teaching, have a look at a partial list of Courses that I have taught and also at a 2000 MAPLE WINNER Dynamic Learning Experience with MAPLE and the corresponding Students' Worksheets .

In 2009 I have organized the IX Congress of the Italian Society of the History of Mathematics in Perugia.

Title: Associate Professor in Mathematical Physics

Mail: Maria Clara Nucci
Dipartimento di Matematica e Informatica
Universita` di Perugia
06123 Perugia, Italy

Phone: +39 075 585 5018
Fax: +39 075 585 5024
Electronic mail:

Return to the Department of Mathematics University of Perugia

If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.

Which Springer GTM would you be? The Springer GTM Test

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